1 Introduction |
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1 | (36) |
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1.1 Generalities about sliding mode control |
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1 | (1) |
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1.2 The elements of sliding mode control |
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1 | (2) |
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1.3 A switch commanded RC. circuit |
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3 | (7) |
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1.4 The effect of unknown perturbations |
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10 | (1) |
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1.5 Trajectory tracking in a switched RC circuit |
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11 | (4) |
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1.6 A water tank system example |
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15 | (4) |
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1.7 Trajectory tracking for the tank water height |
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19 | (2) |
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1.8 A Bilinear DC to DC Converter |
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21 | (5) |
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1.8.1 Switching on a Desired Constant Voltage Line |
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23 | (1) |
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1.8.2 Switching on a Desired Constant Current Line |
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24 | (2) |
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1.9 A Second Order System Example |
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26 | (3) |
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1.10 The quest for global sliding motions |
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29 | (3) |
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1.11 A nasty perturbation |
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32 | (2) |
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1.12 Some lessons learned from the examples |
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34 | (3) |
2 Single-input single-output sliding mode control |
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37 | (52) |
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37 | (1) |
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2.2 Variable structure systems |
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38 | (1) |
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2.3 Control of single switch regulated systems |
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38 | (1) |
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2.4 Switching between continuous feedback laws |
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39 | (2) |
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41 | (1) |
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42 | (1) |
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2.7 The transversal condition |
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42 | (1) |
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2.8 Equivalent control and ideal sliding dynamics |
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43 | (3) |
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2.9 Accessibility of the sliding surface |
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46 | (6) |
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2.10 A Lyapunov approach to surface reachability |
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52 | (1) |
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2.11 Control of the Boost converter |
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53 | (4) |
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54 | (1) |
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55 | (1) |
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56 | (1) |
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2.12 Control of the "Buck-Boost" converter |
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57 | (5) |
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58 | (1) |
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59 | (2) |
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61 | (1) |
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62 | (1) |
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63 | (3) |
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2.15 Invariance conditions under matched perturbations |
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66 | (7) |
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2.15.1 Drift field perturbation |
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66 | (4) |
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2.15.2 Control field perturbations |
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70 | (1) |
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2.15.3 Control and drift fields perturbations |
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71 | (1) |
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2.15.4 The equivalent control of a perturbed system |
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72 | (1) |
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2.16 Sliding surface design |
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73 | (3) |
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2.17 Some further geometric aspects |
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76 | (8) |
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2.18 A soft landing example |
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84 | (2) |
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2.19 The exactly linearizable case |
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86 | (3) |
3 Delta-Sigma Modulation |
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89 | (38) |
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89 | (1) |
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90 | (2) |
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3.3 Second order Delta modulation |
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92 | (3) |
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3.4 Higher order Delta modulation |
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95 | (4) |
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3.5 Delta-Sigma modulation |
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99 | (7) |
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3.5.1 Two simple properties of Delta-Sigma modulators |
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103 | (1) |
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3.5.2 High gain Delta-Sigma modulation |
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104 | (2) |
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3.6 Two level Delta-Sigma modulation |
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106 | (3) |
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3.6.1 Delta-Sigma modulation with an arbitrary quantization levels |
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107 | (2) |
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3.7 Multilevel Delta-Sigma modulation |
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109 | (1) |
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3.8 Average feedbacks and Delta-Sigma-Modulation |
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110 | (6) |
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3.8.1 Control of the Double Bridge Buck Converter |
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112 | (4) |
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3.9 Multilevel Sliding Mode control of mechanical systems |
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116 | (2) |
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3.10 Second order Delta-Sigma modulation |
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118 | (4) |
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3.11 Delta-Sigma modulation and integral sliding mode control |
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122 | (5) |
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3.11.1 Sliding on the integral control input error |
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122 | (1) |
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3.11.2 Integral sliding modes: surface and control modification |
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123 | (4) |
4 Multi-variable sliding mode control |
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127 | (38) |
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127 | (1) |
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4.2 Multiple Input Multiple Output case |
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128 | (1) |
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129 | (1) |
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130 | (2) |
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4.5 Equivalent control and ideal sliding dynamics |
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132 | (2) |
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4.6 Invariance with respect to matched perturbations |
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134 | (1) |
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4.7 Reachability of the sliding surface |
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135 | (1) |
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4.8 Control of the Boost-Boost converter |
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136 | (3) |
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138 | (1) |
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4.9 Control of the double buck-boost converter |
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139 | (6) |
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141 | (1) |
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142 | (1) |
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143 | (2) |
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4.10 The fully actuated rigid body |
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145 | (3) |
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146 | (1) |
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4.10.2 A computed torque controller via Δ — Σ modulation |
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147 | (1) |
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147 | (1) |
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4.11 The multi-variable relative degree |
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148 | (2) |
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4.12 Sliding surface vector design |
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150 | (4) |
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154 | (3) |
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4.14 The under-actuated rigid body |
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157 | (5) |
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4.15 Two cascaded buck converters |
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162 | (3) |
5 An Input-Output approach to Sliding Mode Control |
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165 | (46) |
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165 | (1) |
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5.2 GPI control of chains of integrators |
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166 | (13) |
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5.2.1 A double integrator |
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166 | (2) |
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5.2.2 A third order integrator |
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168 | (4) |
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5.2.3 N-th order integrator |
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172 | (1) |
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5.2.4 Robustness with respect to classical perturbations |
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173 | (1) |
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5.2.5 A perturbed double integrator plant |
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173 | (2) |
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5.2.6 The presence of noises |
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175 | (2) |
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5.2.7 A perturbed third order integration plant |
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177 | (2) |
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5.3 Relations with classical compensator design |
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179 | (3) |
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5.4 A DC motor controller design example |
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182 | (3) |
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5.5 Control of the Double Bridge Buck Converter |
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185 | (3) |
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5.6 GPI control for systems in State Space Form |
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188 | (2) |
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5.7 Generalization to MIMO linear systems |
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190 | (4) |
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5.8 GPI and Sliding Mode Control |
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194 | (8) |
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5.8.1 Compensated sliding surface coordinate functions based on integral reconstructors |
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194 | (2) |
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5.8.2 A GPI based sliding mode control of a perturbed system |
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196 | (6) |
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5.9 GPI control of some nonlinear systems |
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202 | (9) |
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5.9.1 A permanent magnet stepper motor |
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202 | (5) |
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207 | (4) |
6 Differential flatness and sliding mode control |
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211 | (42) |
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211 | (1) |
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6.2 Flatness in Multi-variable Nonlinear systems |
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212 | (4) |
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216 | (4) |
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220 | (3) |
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6.5 The planar rigid body |
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223 | (4) |
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226 | (1) |
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6.6 Sliding surface design for flat systems |
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227 | (5) |
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6.6.1 A stepping motor example |
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229 | (3) |
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6.7 The feed-forward controller |
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232 | (1) |
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6.8 Flatness guided design in switched systems |
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233 | (20) |
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6.8.1 Control of a two degrees of freedom robot |
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239 | (5) |
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6.8.2 A "chained" mass-spring system |
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244 | (4) |
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6.8.3 A single link-DC motor system |
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248 | (1) |
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6.8.4 A multilevel Buck DC to DC converter controller design |
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249 | (4) |
References |
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253 | (4) |
Index |
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257 | |