Preface |
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xxi | |
Perspective of the Book |
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xxix | |
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Part I Flight Vehicle Dynamics |
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1 | (164) |
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2 | (3) |
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1 An Overview of the Fundamental Concepts of Modeling of a Dynamic System |
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5 | (18) |
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5 | (1) |
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1.2 Stages of a Dynamic System Investigation and Approximations |
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5 | (3) |
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1.3 Concepts Needed to Derive Equations of Motion |
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8 | (7) |
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1.3.1 Time Rate of Change Vectors in a Moving (Body Fixed) Frame and a Stationary (Non-rotating, Inertial) Frame |
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9 | (2) |
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1.3.2 Coordinate Transformations |
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11 | (4) |
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15 | (5) |
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1.5 Further Insight into Absolute Acceleration |
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20 | (1) |
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20 | (1) |
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21 | (1) |
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22 | (1) |
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2 Basic Nonlinear Equations of Motion in Three Dimensional Space |
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23 | (38) |
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23 | (1) |
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2.2 Derivation of Equations of Motion for a General Rigid Body |
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23 | (9) |
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2.2.1 Translational Motion: Force Equations for a General Rigid Body |
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24 | (2) |
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2.2.2 Rotational Motion: moment equations for a General Rigid Body |
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26 | (1) |
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2.2.3 Scalar Motion Equations for a General Rigid Body |
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27 | (5) |
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2.3 Specialization of Equations of Motion to Aero (Atmospheric) Vehicles |
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32 | (11) |
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2.3.1 Components of the Weight in Body Frame |
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33 | (3) |
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2.3.2 Review of the Equations of Motion for Aircraft |
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36 | (1) |
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2.3.3 Orientation and Flight Path of the Aircraft Relative to a Fixed Frame |
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37 | (1) |
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2.3.4 Procedure to get the Flight Path with Respect to a Fixed Frame |
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38 | (2) |
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2.3.5 Point Mass Performance Equations |
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40 | (3) |
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2.4 Specialization of Equations of Motion to Spacecraft |
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43 | (9) |
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2.4.1 Translational Motion: Orbit Equation |
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43 | (1) |
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2.4.2 Point Mass Satellite Translational Motion Equations in Earth's Gravitational Field |
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44 | (2) |
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2.4.3 Rotational (Attitude) Motion Equations for a Satellite in a Circular Orbit |
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46 | (4) |
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2.4.4 Torque-Free Motion of an Axi-symmetric Spacecraft |
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50 | (2) |
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2.5 Flight Vehicle Dynamic Models in State Space Representation |
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52 | (6) |
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2.5.1 Aircraft Dynamics from the State Space Representation Point of View |
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53 | (2) |
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2.5.2 Spacecraft Dynamics from a State Space Representation Point of View |
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55 | (1) |
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2.5.2.1 Satellite Point Mass Translational Equations of Motion in Polar Coordinates |
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55 | (1) |
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2.5.2.2 Spacecraft Attitude (Rotational) Motion about its Center of Mass |
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56 | (1) |
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2.5.3 Conceptual Differences Between Aircraft Dynamic Models and Spacecraft Dynamic Models |
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57 | (1) |
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58 | (1) |
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58 | (2) |
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60 | (1) |
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3 Linearization and Stability of Linear Time Invariant Systems |
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61 | (16) |
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61 | (1) |
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3.2 State Space Representation of Dynamic Systems |
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61 | (2) |
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63 | (1) |
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3.3 Linearizing a Nonlinear State Space Model |
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63 | (3) |
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3.3.1 Linearization about a Given Steady State Condition by Neglecting Higher Order Terms |
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64 | (2) |
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3.4 Uncontrolled, Natural Dynamic Response and Stability of First and Second Order Linear Dynamic Systems with State Space Representation |
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66 | (7) |
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3.4.1 Dynamic Response of a First Order Linear System |
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66 | (1) |
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3.4.2 Dynamic Response of a Second Order Linear System |
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67 | (6) |
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73 | (1) |
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74 | (1) |
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75 | (2) |
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4 Aircraft Static Stability and Control |
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77 | (40) |
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77 | (1) |
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4.2 Analysis of Equilibrium (Trim) Flight for Aircraft: Static Stability and Control |
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77 | (2) |
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4.3 Static Longitudinal Stability |
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79 | (7) |
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4.3.1 Contribution of Each Component to the Static Longitudinal Stability (i e to the Pitching Moment) |
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81 | (5) |
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4.4 Stick Fixed Neutral Point and CG Travel Limits |
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86 | (6) |
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4.4.1 Canard Plus the Wing Combination |
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92 | (1) |
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4.5 Static Longitudinal Control with Elevator Deflection |
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92 | (7) |
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4.5.1 Determination of Trim Angle of Attack and Trim Elevator Deflection |
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95 | (3) |
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4.5.2 Practical Determination of Stick Fixed Neutral Point |
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98 | (1) |
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4.6 Reversible Flight Control Systems: Stick Free, Stick Force Considerations |
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99 | (6) |
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4.6.1 Stick Free Longitudinal Stability and Control |
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100 | (2) |
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102 | (1) |
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4.6.3 Stick Force Gradient |
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103 | (2) |
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4.7 Static Directional Stability and Control |
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105 | (2) |
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4.7.1 Static Lateral/Directional Control |
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107 | (1) |
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4.8 Engine Out Rudder/Aileron Power Determination: Minimum Control Speed, VMC |
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107 | (4) |
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4.8.1 VMc from βmax and Aileron Considerations |
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108 | (3) |
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111 | (1) |
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111 | (3) |
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114 | (3) |
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5 Aircraft Dynamic Stability and Control via Linearized Models |
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117 | (26) |
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117 | (1) |
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5.2 Analysis of Perturbed Flight from Trim: Aircraft Dynamic Stability and Control |
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117 | (5) |
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5.3 Linearized Equations of Motion in Terms of Stability Derivatives For the Steady, Level Equilibrium Condition |
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122 | (2) |
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5.4 State Space Representation for Longitudinal Motion and Modes of Approximation |
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124 | (7) |
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5.4.1 Summary and Importance of the Stability Derivatives |
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126 | (1) |
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5.4.1.1 Importance of Various Stability Derivatives in Longitudinal Motion |
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126 | (1) |
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5.4.2 Longitudinal Motion Stability Derivatives |
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126 | (1) |
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5.4.2.1 Lift Related Stability Derivatives |
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126 | (1) |
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5.4.2.2 Pitching Moment Related Stability Derivatives |
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126 | (1) |
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5.4.2.3 Control Related Stability Derivatives |
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127 | (1) |
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5.4.3 Longitudinal Approximations |
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128 | (1) |
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5.4.3.1 Phugoid Mode Approximation |
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128 | (1) |
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5.4.3.2 Short Period Approximation |
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129 | (1) |
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5.4.4 Summary of Longitudinal Approximation Modes |
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130 | (1) |
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5.5 State Space Representation for Lateral/Directional Motion and Modes of Approximation |
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131 | (7) |
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5.5.1 Lateral/Directional Motion Stability Derivatives |
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132 | (1) |
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132 | (2) |
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134 | (1) |
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5.5.2 Lateral/Directional Approximations |
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135 | (1) |
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5.5.3 Roll Subsidence Approximation |
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135 | (1) |
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5.5.4 Spiral Convergence/Divergence Approximation |
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135 | (1) |
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5.5.5 Dutch Roll Approximation |
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136 | (2) |
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5.5.6 Summary of Lateral/Directional Approximation Modes |
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138 | (1) |
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138 | (1) |
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139 | (1) |
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140 | (3) |
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6 Spacecraft Passive Stabilization and Control |
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143 | (12) |
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143 | (1) |
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6.2 Passive Methods for Satellite Attitude Stabilization and Control |
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143 | (3) |
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144 | (1) |
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6.2.1.1 Spin Stabilization |
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144 | (1) |
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6.2.1.2 Dual Spin Stabilization and Control |
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144 | (1) |
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6.2.1.3 Gravity Gradient Stabilization and Control |
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144 | (1) |
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145 | (1) |
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6.2.1.5 Aerodynamic Control |
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146 | (1) |
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6.2.1.6 Solar Radiation Pressure |
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146 | (1) |
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6.2.2 Passive/Semi-Active Control |
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146 | (1) |
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6.3 Stability Conditions for Linearized Models of Single Spin Stabilized Satellites |
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146 | (3) |
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6.4 Stability Conditions for a Dual Spin Stabilized Satellite |
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149 | (2) |
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151 | (1) |
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152 | (1) |
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152 | (3) |
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7 Spacecraft Dynamic Stability and Control via Linearized Models |
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155 | (8) |
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155 | (1) |
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7.2 Active Control: Three Axis Stabilization and Control |
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155 | (3) |
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7.2.1 Momentum Exchange Devices: Reaction Wheels |
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155 | (1) |
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7.2.2 Momentum Exchange Devices: Gyrotorquers (or CMGs) |
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156 | (1) |
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7.2.3 Mass Expulsion Devices: Reaction Jets |
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156 | (1) |
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7.2.4 Linearized Models of Single Spin Stabilized Satellites for Control Design |
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157 | (1) |
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7.3 Linearized Translational Equations of Motion for a Satellite in a Nominal Circular Orbit for Control Design |
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158 | (2) |
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7.4 Linearized Rotational (Attitude) Equations of Motion for a Satellite in a Nominal Circular Orbit for Control Design |
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160 | (1) |
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7.5 Open Loop (Uncontrolled Motion) Behavior of Spacecraft Models |
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161 | (1) |
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7.6 External Torque Analysis: Control Torques Versus Disturbance Torques |
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161 | (1) |
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162 | (1) |
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162 | (1) |
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163 | (2) |
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Part II Fight Vehicle Control via Classical Transfer Function Based Methods |
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165 | (118) |
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166 | (3) |
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8 Transfer Function Based Linear Control Systems |
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169 | (1) |
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169 | (5) |
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8.1.1 The Concept of Transfer Function: Single Input, Single Output System |
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169 | (2) |
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8.1.2 An Example for Getting Transfer Functions from State Space Models |
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171 | (1) |
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8.1.3 A Systematic Way of Getting the Transfer Function via the Formula G(s) = C(sI -- A)-1B |
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171 | (1) |
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8.1.4 A Brute Force ad hoc Method |
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172 | (1) |
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8.1.5 Use of a Transfer Function in Solving an LTI System of Equations |
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173 | (1) |
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8.1.6 Impulse Response is the Transfer Function |
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174 | (1) |
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8.2 Poles and Zeroes in Transfer Functions and Their Role in the Stability and Time Response of Systems |
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174 | (5) |
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8.2.1 Minimum Phase and Non-minimum Phase Transfer Functions |
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176 | (2) |
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8.2.2 Importance of the Final Value Theorem |
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178 | (1) |
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8.3 Transfer Functions for Aircraft Dynamics Application |
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179 | (4) |
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8.4 Transfer Functions for Spacecraft Dynamics Application |
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183 | (1) |
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184 | (1) |
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184 | (2) |
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186 | (1) |
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9 Block Diagram Representation of Control Systems |
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187 | (16) |
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187 | (1) |
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9.2 Standard Block Diagram of a Typical Control System |
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187 | (5) |
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9.2.1 A Closed Loop System Subjected to Disturbance |
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192 | (1) |
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9.3 Time Domain Performance Specifications in Control Systems |
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192 | (4) |
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9.3.1 Typical Time Response Specifications of Control Systems |
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194 | (1) |
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9.3.1.1 Transient Response: First Order Systems |
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194 | (1) |
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9.3.1.2 Unit Step Response |
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194 | (1) |
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9.3.1.3 Second Order Systems |
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194 | (1) |
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9.3.1.4 Unit Step Response |
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194 | (2) |
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9.4 Typical Controller Structures in SISO Control Systems |
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196 | (4) |
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9.4.1 Lead Network or Lead Compensator |
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196 | (1) |
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9.4.2 Lag Network or Lag Compensator |
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197 | (1) |
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9.4.3 Relative Stability: Need for Derivative Controllers |
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198 | (1) |
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9.4.4 Steady-State Error Response: Need for Integral Controllers |
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198 | (2) |
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9.4.3 Basic Philosophy in Transfer Function Based Control Design Methods |
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200 | (1) |
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200 | (1) |
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201 | (1) |
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202 | (1) |
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10 Stability Testing of Polynomials |
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203 | (10) |
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203 | (1) |
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10.2 Coefficient Tests for Stability: Routh--Hurwitz Criterion |
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204 | (4) |
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10.2.1 Stability of Polynomials with Real Coefficients via Polynomial Coefficient Testing: The Routh--Hurwitz Criterion |
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204 | (4) |
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10.3 Left Column Zeros of the Array |
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208 | (1) |
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10.4 Imaginary Axis Roots |
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208 | (1) |
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209 | (1) |
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210 | (1) |
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210 | (1) |
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211 | (2) |
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11 Root Locus Technique for Control Systems Analysis and Design |
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213 | (18) |
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213 | (1) |
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213 | (1) |
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11.3 Properties of the Root Locus |
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214 | (4) |
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11.4 Sketching the Root Locus |
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218 | (1) |
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219 | (4) |
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11.5.1 Real Axis Breakaway and Break-In Points |
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220 | (1) |
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11.5.2 The jω Axis Crossings |
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221 | (1) |
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11.5.3 Angles of Departure and Arrival |
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221 | (2) |
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11.6 Control Design using the Root Locus Technique |
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223 | (2) |
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11.7 Using MATLAB to Draw the Root Locus |
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225 | (1) |
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226 | (1) |
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227 | (2) |
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229 | (2) |
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12 Frequency Response Analysis and Design |
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231 | (20) |
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231 | (1) |
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231 | (1) |
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12.3 Frequency Response Specifications |
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232 | (3) |
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12.3.1 Frequency Response Determination |
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234 | (1) |
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12.4 Advantages of Working with the Frequency Response in Terms of Bode Plots |
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235 | (3) |
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12.4.1 Straight Line Approximation of Bode Plots |
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235 | (1) |
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12.4.2 Summary of Bode Plot Rules |
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236 | (2) |
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12.5 Examples on Frequency Response |
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238 | (2) |
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12.5.1 Bode's Gain Phase Relationship |
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239 | (1) |
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12.5.2 Non-minimum Phase Systems |
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239 | (1) |
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12.6 Stability: Gain and Phase Margins |
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240 | (6) |
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12.6.1 Gain and Phase Margins Determined Analytically |
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241 | (3) |
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12.6.2 Steady State Errors |
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244 | (1) |
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12.6.3 Closed-Loop Frequency Response |
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245 | (1) |
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12.7 Notes on Lead and Lag Compensation via Bode Plots |
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246 | (2) |
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12.7.1 Properties of the Lead Compensator |
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246 | (1) |
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12.7.2 Properties of the Lag Compensator |
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246 | (1) |
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12.7.3 Steps in the Design of Lead Compensators Using the Bode Plot Approach |
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247 | (1) |
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12.7.4 Steps in the Design of Lag Compensators Using Bode Plot Approach |
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247 | (1) |
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248 | (1) |
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248 | (2) |
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250 | (1) |
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13 Applications of Classical Control Methods to Aircraft Control |
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251 | (18) |
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251 | (1) |
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13.2 Aircraft Flight Control Systems (AFCS) |
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252 | (1) |
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13.3 Longitudinal Control Systems |
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252 | (7) |
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13.3.1 Pitch Displacement Autopilot |
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253 | (2) |
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13.3.2 Pitch Displacement Autopilot Augmented by Pitch Rate Feedback |
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255 | (2) |
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13.3.3 Acceleration Control System |
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257 | (2) |
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13.4 Control Theory Application to Automatic Landing Control System Design |
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259 | (6) |
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13.4.1 Glide Path Coupling Phase: Glide Path Stabilization by elevator and Speed Control by Engine Throttle |
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259 | (1) |
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13.4.2 Glide Slope Coupling Phase |
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260 | (2) |
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262 | (1) |
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13.4.4 Determination Flare Control Parameters |
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263 | (1) |
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13.4.5 Altitude Hold and Mach Hold Autopilots |
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264 | (1) |
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13.4.6 Conceptual Control System Design Steps |
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265 | (1) |
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13.5 Lateral/Directional Autopilots |
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265 | (2) |
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13.5.1 Steady Coordinated Turn Control System |
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265 | (1) |
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13.5.2 Inertial Cross Coupling |
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266 | (1) |
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267 | (1) |
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267 | (2) |
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14 Application of Classical Control Methods to Spacecraft Control |
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269 | (12) |
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269 | (1) |
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14.2 Control of an Earth Observation Satellite Using a Momentum Wheel and Offset Thrusters: Case Study |
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269 | (12) |
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269 | (1) |
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14.2.2 Formulations of Equations |
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270 | (2) |
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14.2.3 Design of Attitude Controllers |
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272 | (8) |
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14.2.4 Summary of Results of Case Study |
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280 | (1) |
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281 | (1) |
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281 | (2) |
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Part III Flight Vehicle Control via Modern State Space Based Methods |
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283 | (146) |
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284 | (3) |
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15 Time Domain, State Space Control Theory |
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287 | (20) |
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287 | (1) |
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15.2 Introduction to State Space Control Theory |
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287 | (4) |
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15.2.1 State Space Representation of Dynamic Systems |
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288 | (2) |
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15.2.2 Linear State Space Systems |
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290 | (1) |
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15.2.3 Comparison of Features of Classical and Modern (State Space Based) Control Theory |
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291 | (1) |
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15.3 State Space Representation in Companion Form: Continuous Time Systems |
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291 | (3) |
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15.4 A State Space Representation of Discrete Time (Difference) Equations |
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292 | (2) |
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15.4.1 Companion Form for Discrete Time Systems |
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293 | (1) |
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15.5 State Space Representation of Simultaneous Differential Equations |
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294 | (2) |
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15.6 State Space Equations from Transfer Functions |
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296 | (1) |
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15.6.1 Obtaining a Transfer Function from State and Output Equations |
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297 | (1) |
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15.7 Linear Transformations of State Space Representations |
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297 | (3) |
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15.8 Linearization of Nonlinear State Space Systems |
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300 | (4) |
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301 | (1) |
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15.8.2 Linearizing a Nonlinear State Space Model |
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301 | (1) |
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15.8.3 Linearization About a Given Nominal Condition: Jacobian Method |
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302 | (2) |
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304 | (1) |
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305 | (1) |
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306 | (1) |
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16 Dynamic Response of Linear State Space Systems (Including Discrete Time Systems and Sampled Data Systems) |
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307 | (16) |
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307 | (1) |
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16.2 Introduction to Dynamic Response: Continuous Time Systems |
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307 | (2) |
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16.2.1 The State Transition Matrix and its Properties |
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308 | (1) |
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16.3 Solutions of Linear Constant Coefficient Differential Equations in State Space Form |
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309 | (1) |
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16.3.1 Solution to the Homogeneous Case |
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309 | (1) |
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16.3.2 Solution to the Non-homogeneous (Forced) Case |
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309 | (1) |
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16.4 Determination of State Transition Matrices Using the Cayley--Hamilton Theorem |
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310 | (4) |
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16.4.1 For Repeated Roots |
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312 | (2) |
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16.5 Response of a Constant Coefficient (Time Invariant) Discrete Time State Space System |
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314 | (3) |
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16.6 Discretizing a Continuous Time System: Sampled Data Systems |
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317 | (2) |
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319 | (1) |
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320 | (1) |
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321 | (2) |
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17 Stability of Dynamic Systems with State Space Representation with Emphasis on Linear Systems |
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323 | (26) |
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323 | (1) |
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17.2 Stability of Dynamic Systems via Lyapunov Stability Concepts |
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323 | (5) |
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324 | (2) |
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17.2.2 Lyapunov Method to Determine Stability |
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326 | (1) |
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17.2.3 Lyapunov Stability Analysis for Linear Time Invariant Systems |
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327 | (1) |
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17.3 Stability Conditions for Linear Time Invariant Systems with State Space Representation |
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328 | (7) |
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17.3.1 Continuous Time Systems: Methods for Checking the Hurwitz Stability of a Real matrix |
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329 | (1) |
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17.3.1.1 Method 1. Checking Stability via the Routh--Hurwitz Criterion |
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|
329 | (1) |
|
17.3.1.2 Method 2. Via the Positive Definiteness of the Lyapunov Equation Solution Matrix |
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|
330 | (1) |
|
17.3.1.3 Methods 3 to 5. Via Fuller's Conditions of Non-singularity |
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|
331 | (1) |
|
17.3.1.4 Method 3. Stability Condition I (for the A Matrix to be Hurwitz Stable) in Terms of the Kronecker Sum Matrix D = K[ A]) |
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332 | (1) |
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17.3.1.5 Method 4. Stability Condition II for A in Terms of the Lyapunov Matrix C = L[ A] |
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333 | (1) |
|
17.3.1.6 Method 5. Stability Condition III for a real Matrix A in Terms of the Bialternate Sum Matrix Q[ A]) |
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334 | (1) |
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173.2 Connection between the Lyapunov Matrix Equation Condition and Fuller's Condition II |
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335 | (2) |
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17.3.3 Alternate Stability Conditions for Second Order (Possibly Nonlinear) Systems |
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|
335 | (2) |
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17.4 Stability Conditions for Quasi-linear (Periodic) Systems |
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337 | (1) |
|
17.5 Stability of Linear, Possibly Time Varying, Systems |
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338 | (6) |
|
17.5.1 Equilibrium State or Point |
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|
339 | (2) |
|
17.5.2 Review of the Stability of Linear Time Invariant Systems in Terms of Eigenvalues |
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|
341 | (1) |
|
17.5.2.1 Continuous Time Systems: Hurwitz Stability |
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|
341 | (2) |
|
17.5.2.2 Discrete Time Systems (Schur Stability) |
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343 | (1) |
|
17.6 Bounded Input-Bounded State Stability (BIBS) and Bounded Input-Bounded Output Stability (BIBO) |
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|
344 | (1) |
|
17.6.1 Lagrange Stability |
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345 | (1) |
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|
345 | (1) |
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|
345 | (1) |
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|
346 | (3) |
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18 Controllability, Stabilizability, Observability, and Detectability |
|
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349 | (20) |
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|
349 | (1) |
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18.2 Controllability of Linear State Space Systems |
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349 | (2) |
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18.3 State Controllability Test via Modal Decomposition |
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351 | (1) |
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18.3.1 Distinct Eigenvalues Case |
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351 | (1) |
|
18.3.2 Repeated Eigenvalue Case |
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352 | (1) |
|
18.4 Normality or Normal Linear Systems |
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352 | (1) |
|
18.5 Stabilizability of Uncontrollable Linear State Space Systems |
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353 | (2) |
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18.5.1 Determining the Transformation Matrix T for Controllability Canonical Form |
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354 | (1) |
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18.6 Observability of Linear State Space Systems |
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355 | (2) |
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18.7 State Observability Test via Modal Decomposition |
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357 | (1) |
|
18.7.1 The Distinct Eigenvalue Case |
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|
357 | (1) |
|
18.7.2 Repeated Eigenvalue Case |
|
|
358 | (1) |
|
18.8 Detectability of Unobservable Linear State Space Systems |
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|
358 | (3) |
|
18.8.1 Determining the Transformation Matrix T for Observability Canonical Form |
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|
359 | (2) |
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18.9 Implications and Importance of Controllability and Observability |
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|
361 | (4) |
|
18.10 A Display of all Three Structural Properties via Modal Decomposition |
|
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365 | (1) |
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|
365 | (1) |
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366 | (2) |
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|
368 | (1) |
|
19 Shaping of Dynamic Response by Control Design: Pole (Eigenvalue) Placement Technique |
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369 | (14) |
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|
369 | (1) |
|
19.2 Shaping of Dynamic Response of State Space Systems using Control Design |
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369 | (4) |
|
19.3 Single Input Full State Feedback Case: Ackermann's Formula for Gain |
|
|
373 | (2) |
|
19.4 Pole (Eigenvalue) Assignment using Full State Feedback: MIMO Case |
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375 | (4) |
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379 | (1) |
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|
379 | (2) |
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|
381 | (2) |
|
20 Linear Quadratic Regulator (LQR) Optimal Control |
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|
383 | (14) |
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|
383 | (1) |
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20.2 Formulation of the Optimum Control Problem |
|
|
383 | (2) |
|
20.3 Quadratic Integrals and Matrix Differential Equations |
|
|
385 | (2) |
|
20.4 The Optimum Gain Matrix |
|
|
387 | (1) |
|
20.5 The Steady State Solution |
|
|
388 | (1) |
|
20.6 Disturbances and Reference Inputs |
|
|
389 | (3) |
|
20.7 Trade-Off Curve Between State Regulation Cost and Control Effort |
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|
392 | (3) |
|
20.7.1 Method to Evaluate a Quadratic Cost Subject to a Linear (Stable) State Space System |
|
|
393 | (2) |
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|
395 | (1) |
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|
395 | (1) |
|
|
396 | (1) |
|
21 Control Design Using Observers |
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|
397 | (16) |
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|
397 | (1) |
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21.2 Observers or Estimators and Their Use in Feedback Control Systems |
|
|
397 | (8) |
|
21.3 Other Controller Structures: Dynamic Compensators of Varying Dimensions |
|
|
405 | (3) |
|
21.4 Spillover Instabilities in Linear State Space Dynamic Systems |
|
|
408 | (2) |
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|
410 | (1) |
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|
410 | (1) |
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|
410 | (3) |
|
22 State Space Control Design: Applications to Aircraft Control |
|
|
413 | (10) |
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|
413 | (1) |
|
22.2 LQR Controller Design for Aircraft Control Application |
|
|
413 | (1) |
|
22.3 Pole Placement Design for Aircraft Control Application |
|
|
414 | (7) |
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|
421 | (1) |
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|
421 | (1) |
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|
421 | (2) |
|
23 State Space Control Design: Applications to Spacecraft Control |
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|
423 | (6) |
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|
423 | (1) |
|
23.2 Control Design for Multiple Satellite Formation Flying |
|
|
423 | (4) |
|
23.2.1 Pole Placement Design for the above problem |
|
|
427 | (1) |
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|
427 | (1) |
|
|
428 | (1) |
|
|
428 | (1) |
|
Part IV Other Related Flight Vehicles |
|
|
429 | (43) |
|
|
430 | (3) |
|
24 Tutorial on Aircraft Flight Control by Boeing |
|
|
433 | (10) |
|
|
433 | (1) |
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|
433 | (3) |
|
|
434 | (1) |
|
24.2.2 System Architecture and Redundancy |
|
|
435 | (1) |
|
24.2.3 Flight Deck Controls |
|
|
435 | (1) |
|
24.2.4 System Electronics |
|
|
435 | (1) |
|
24.2.5 ARINC 629 Data Bus |
|
|
436 | (1) |
|
24.2.6 Interfaces to Other Airplane Systems |
|
|
436 | (1) |
|
24.3 System Electrical Power |
|
|
436 | (2) |
|
24.3.1 Control Surface Actuation |
|
|
437 | (1) |
|
24.3.2 Mechanical Control |
|
|
437 | (1) |
|
24.3.3 System Operating Modes |
|
|
438 | (1) |
|
24.4 Control Laws and System Functionality |
|
|
438 | (3) |
|
|
438 | (1) |
|
|
439 | (1) |
|
|
440 | (1) |
|
|
440 | (1) |
|
24.4.5 Primary Flight Control System Displays and Announcements |
|
|
440 | (1) |
|
|
441 | (1) |
|
|
441 | (1) |
|
|
442 | (1) |
|
25 Tutorial on Satellite Control Systems |
|
|
443 | (8) |
|
|
443 | (1) |
|
25.2 Spacecraft/Satellite Building Blocks |
|
|
443 | (2) |
|
25.2.1 Attitude and Orbit Control |
|
|
443 | (1) |
|
25.2.2 Attitude Control Sensors |
|
|
444 | (1) |
|
25.2.2.1 Earth/Horizon Senors |
|
|
444 | (1) |
|
25.2.2.2 Sun Sensors and Star Sensors |
|
|
444 | (1) |
|
|
444 | (1) |
|
|
444 | (1) |
|
|
445 | (1) |
|
25.3.1 Momentum Wheels (CMGs) and Reaction Wheels |
|
|
445 | (1) |
|
|
445 | (1) |
|
|
445 | (1) |
|
25.4 Considerations in Using Momentum Exchange Devices and Reaction Jet Thrusters for Active Control |
|
|
445 | (4) |
|
25.4.1 On-Orbit Operation via Pure Jet Control Systems |
|
|
446 | (2) |
|
25.4.2 Recommended Practice for Active Control Systems |
|
|
448 | (1) |
|
25.4.2.1 General Considerations |
|
|
448 | (1) |
|
25.4.2.2 Thrusting Maneuvers |
|
|
449 | (1) |
|
25.4.2.3 Structural Flexibility |
|
|
449 | (1) |
|
|
449 | (1) |
|
|
449 | (2) |
|
26 Tutorial on Other Flight Vehicles |
|
|
451 | (21) |
|
26.1 Tutorial on Helicopter (Rotorcraft) Flight Control Systems |
|
|
451 | (11) |
|
26.1.1 Highlights of the Tutorial on Helicopter Flight Vehicles |
|
|
451 | (1) |
|
|
451 | (2) |
|
26.1.3 Equations of Motion |
|
|
453 | (1) |
|
26.1.4 Longitudinal Motion |
|
|
454 | (2) |
|
|
456 | (1) |
|
|
456 | (1) |
|
26.1.7 Static Stability of the Main Rotor |
|
|
457 | (1) |
|
|
457 | (1) |
|
|
457 | (1) |
|
26.1.7.3 Fuselage Stability |
|
|
458 | (1) |
|
|
458 | (1) |
|
26.1.9 Longitudinal Motion |
|
|
458 | (1) |
|
26.1.9.1 Stick-fixed Forward Flight |
|
|
458 | (1) |
|
|
459 | (1) |
|
|
460 | (1) |
|
26.1.10.1 Hovering Motion |
|
|
460 | (1) |
|
26.1.11 Overview of the Similarities and Differences with Respect to the Fixed Wing Aircraft |
|
|
460 | (1) |
|
|
461 | (1) |
|
|
461 | (1) |
|
26.1.12 Helicopter Tutorial Summary |
|
|
462 | (1) |
|
26.2 Tutorial on Quadcopter Dynamics and Control |
|
|
462 | (3) |
|
26.2.1 Quadcopter Tutorial Highlights |
|
|
462 | (1) |
|
26.2.2 Unmanned Aerial Systems (UAS) and the role of Quadcopters |
|
|
463 | (1) |
|
26.2.3 Dynamics and Control Issues of Quadrotors |
|
|
463 | (1) |
|
26.2.3.1 Mathematical Model and Control Inputs |
|
|
463 | (2) |
|
26.2.4 Quadcopter Tutorial Summary |
|
|
465 | (1) |
|
26.3 Tutorial on Missile Dynamics and Control |
|
|
465 | (3) |
|
26.3.1 Missile Tutorial Highlights |
|
|
465 | (1) |
|
|
465 | (2) |
|
26.3.2.1 Roll Stabilization |
|
|
467 | (1) |
|
26.3.2.2 Aerodynamic and Ballistic Missiles |
|
|
467 | (1) |
|
26.3.3 Missile Tutorial Summary |
|
|
468 | (1) |
|
26.4 Tutorial on Hypersonic Vehicle Dynamics and Control |
|
|
468 | (2) |
|
26.4.1 Hypersonic Vehicle Tutorial Highlights |
|
|
468 | (1) |
|
26.4.2 Special Nature of Hypersonic Flight: Hypersonic Flight Stability and Control Issues |
|
|
468 | (2) |
|
26.4.3 Hypersonic Vehicle Tutorial Summary |
|
|
470 | (1) |
|
|
470 | (1) |
|
|
471 | (1) |
|
Appendix A Data for Flight Vehicles |
|
|
472 | (7) |
|
A.1 Data for Several Aircraft |
|
|
472 | (1) |
|
|
472 | (2) |
|
|
474 | (2) |
|
A.2 Data for Selected Satellites |
|
|
476 | (3) |
|
Appendix B Brief Review of Laplace Transform Theory |
|
|
479 | (8) |
|
|
479 | (1) |
|
B.2 Basics of Laplace Transforms |
|
|
479 | (3) |
|
B.3 Inverse Laplace Transformation using the Partial Fraction Expansion Method |
|
|
482 | (1) |
|
|
483 | (4) |
|
B.4.1 Exercises on Laplace Transformation |
|
|
483 | (1) |
|
B.4.2 Exercises on Inverse Laplace Transformation |
|
|
484 | (1) |
|
|
484 | (3) |
|
Appendix C A Brief Review of Matrix Theory and Linear Algebra |
|
|
487 | (18) |
|
C.1 Matrix Operations, Properties, and Forms |
|
|
487 | (2) |
|
C.1.1 Some Useful Matrix Identities |
|
|
488 | (1) |
|
C.2 Linear Independence and Rank |
|
|
489 | (1) |
|
C.2.1 Some Properties Related to Determinants |
|
|
489 | (1) |
|
C.3 Eigenvalues and Eigenvectors |
|
|
490 | (2) |
|
C.4 Definiteness of Matrices |
|
|
492 | (1) |
|
|
493 | (4) |
|
C.5.1 Some useful singular value properties |
|
|
495 | (1) |
|
C.5.2 Some Useful Results in Singular Value and Eigenvalue Decompositions |
|
|
496 | (1) |
|
|
497 | (2) |
|
C.7 Simultaneous Linear Equations |
|
|
499 | (2) |
|
|
499 | (1) |
|
C.7.2 Problem Statement and Conditions for Solutions |
|
|
499 | (2) |
|
|
501 | (2) |
|
|
503 | (2) |
|
Appendix D Useful MATLAB Commands |
|
|
505 | (4) |
|
D.1 Author Supplied Matlab Routine for Formation of Fuller Matrices |
|
|
505 | (2) |
|
D.2 Available Standard Matlab Commands |
|
|
507 | (2) |
Index |
|
509 | |