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xiii | |
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xvii | |
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xix | |
Biography |
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xxi | |
Preface |
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xxiii | |
Acknowledgments |
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xxv | |
Symbols and abbreviations |
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xxvii | |
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1 | (1) |
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1.2 Microsatellite control system and its design |
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2 | (2) |
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1.2.1 Microsatellite control system |
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2 | (1) |
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1.2.2 Microsatellite control system design |
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3 | (1) |
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1.3 Attitude and orbit determination subsystem design |
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4 | (5) |
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1.3.1 Sensors for microsatellite control system |
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5 | (1) |
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1.3.2 State estimation method design |
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6 | (3) |
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1.4 Review of nonlinear filtering |
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9 | (6) |
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1.4.1 Nonlinear Kalman filtering |
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9 | (2) |
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1.4.2 Predictive filtering |
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11 | (1) |
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12 | (1) |
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13 | (1) |
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1.4.5 Nonlinear filters applied to satellite control system |
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14 | (1) |
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1.5 Motivations for predictive filtering for microsatellite control systems |
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15 | (1) |
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16 | (5) |
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2 Fundamental of predictive filtering |
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21 | (1) |
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2.2 Basic probability of random vector |
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21 | (4) |
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22 | (1) |
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23 | (1) |
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23 | (1) |
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2.2.4 Normal distribution random vector |
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24 | (1) |
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2.2.5 White noise process |
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24 | (1) |
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2.3 Preliminary definitions and lemma |
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25 | (1) |
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2.4 Desired properties of filter |
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26 | (1) |
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2.5 Basic theory of predictive filtering |
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27 | (7) |
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2.5.1 Derivation of predictive filter |
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27 | (2) |
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2.5.2 Estimation performance of predictive filter |
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29 | (5) |
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34 | (1) |
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3 Modeling of microsatellite control system |
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35 | (1) |
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3.2 Definition of coordinate frames |
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36 | (1) |
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3.3 Modeling of single microsatellite control system |
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36 | (2) |
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3.3.1 Mathematical model of attitude control system |
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37 | (1) |
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3.3.2 Mathematical model of orbit control system |
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38 | (1) |
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3.4 Modeling of microsatellite formation flying control system |
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38 | (27) |
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3.4.1 Definition of dimensionless expressions |
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39 | (1) |
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3.4.2 Assumption of small eccentricity |
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40 | (1) |
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3.4.3 And atmospheric drag perturbations |
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41 | (3) |
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3.4.4 Orbit propagation of the chief microsatellite |
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44 | (5) |
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3.4.5 Effect of perturbation forces on relative motion |
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49 | (7) |
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3.4.6 System equation of relative motion |
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56 | (8) |
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3.4.7 Modeling of microsatellite formation flying control system |
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64 | (1) |
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3.5 Modeling of distributed microsatellite attitude control system |
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65 | (1) |
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66 | (3) |
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Part II Sigma-point predictive filtering for microsatellite control system |
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4 Unscented predictive filter |
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69 | (1) |
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4.2 Unscented predictive filter |
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70 | (1) |
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4.3 Estimation performance of UPF |
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71 | (11) |
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4.3.1 Estimation accuracy of modeling error |
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72 | (3) |
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4.3.2 Estimation accuracy of system states |
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75 | (7) |
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4.4 Covariance constraint analysis |
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82 | (2) |
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4.5 Stochastic stability of UPF |
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84 | (7) |
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4.5.1 Boundedness analysis of state estimation covariance |
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84 | (1) |
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4.5.2 Boundedness analysis of state estimation errors |
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84 | (7) |
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4.6 Application to microsatellite attitude control system |
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91 | (7) |
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4.6.1 Measurement model of star sensors |
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91 | (1) |
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92 | (6) |
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4.7 Application to microsatellite formation flying control system |
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98 | (12) |
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4.7.1 Measurement model of PSD |
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99 | (1) |
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4.7.2 Transformed microsatellite formation flying control system |
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100 | (1) |
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4.7.3 Implementation of UPF in formation flying control system |
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101 | (3) |
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104 | (6) |
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110 | (3) |
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5 Central difference predictive filter |
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113 | (1) |
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5.2 Central difference predictive filter |
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113 | (2) |
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5.3 Estimation performance of CDPF |
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115 | (9) |
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5.3.1 Estimation accuracy of modeling error |
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115 | (6) |
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5.3.2 Estimation accuracy of system states |
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121 | (3) |
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5.4 Stochastic stability of CDPF |
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124 | (7) |
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5.4.1 Boundedness analysis of state estimation covariance |
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124 | (1) |
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5.4.2 Boundedness analysis of state estimation error |
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125 | (6) |
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5.5 Application to microsatellite attitude system with low precision sensors |
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131 | (8) |
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5.5.1 Measurement model of magnetometer and sun sensor |
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131 | (1) |
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5.5.2 Implementation of CDPF for attitude determination |
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131 | (1) |
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132 | (7) |
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139 | (2) |
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6 Cubature predictive filter |
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141 | (1) |
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6.2 Third-degree spherical-radial cubature rule |
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142 | (1) |
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6.3 Cubature predictive filtering |
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143 | (1) |
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6.4 Estimation performance of CPF |
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143 | (10) |
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6.4.1 Estimation accuracy of modeling error |
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143 | (4) |
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6.4.2 Estimation accuracy of system state |
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147 | (6) |
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6.5 Stochastic stability of CPF |
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153 | (1) |
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6.5.1 Boundedness analysis of state estimation covariance |
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153 | (1) |
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6.5.2 Boundedness analysis of state estimation error |
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154 | (2) |
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6.6 Application to microsatellite attitude control system |
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156 | (3) |
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6.7 Application to microsatellite formation flying control system |
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159 | (5) |
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164 | (3) |
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Part III Predictive variable structure filtering for microsatellite control system |
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7 Predictive variable structure filter |
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167 | (1) |
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7.2 Predictive variable structure filter design |
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168 | (1) |
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7.3 Theoretical basis of PVSF |
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169 | (1) |
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7.4 Stability of state estimation error |
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170 | (2) |
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7.5 Practical implementation of PVSF |
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172 | (3) |
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7.5.1 Eliminating the effect of sampling time |
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172 | (2) |
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7.5.2 Reducing chattering |
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174 | (1) |
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7.6 State estimation error covariance of PSVSF |
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175 | (4) |
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7.7 Application to microsatellite distributed attitude control system |
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179 | (5) |
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7.7.1 Measurement model of CCD camera |
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179 | (1) |
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7.7.2 Implementing PSVSF for distributed attitude control system |
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180 | (1) |
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181 | (3) |
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7.8 Application to microsatellite formation flying control system |
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184 | (3) |
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187 | (2) |
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8 Predictive adaptive variable structure filter |
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189 | (1) |
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8.2 Predictive adaptive variable structure filter |
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189 | (4) |
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8.3 Derivation of sigma point PAVSF |
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193 | (1) |
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194 | (1) |
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8.3.2 Central difference PAVSF |
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194 | (1) |
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8.4 Strong tracking PAVSF |
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194 | (8) |
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8.4.1 Sequence orthogonal principle |
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197 | (1) |
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8.4.2 Derivation of strong tracking PAVSF |
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197 | (4) |
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8.4.3 Derivation of strong tracking sigma point PAVSF |
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201 | (1) |
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8.5 Application to microsatellite attitude control system |
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202 | (7) |
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8.5.1 Application to attitude control system with low precision sensors |
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202 | (4) |
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8.5.2 Application to distributed attitude control system |
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206 | (3) |
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209 | (2) |
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9 Predictive high-order variable structure filter |
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211 | (1) |
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9.2 Predictive high-order variable structure filter |
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211 | (3) |
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9.3 Derivation of orthogonal PHVSF |
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214 | (3) |
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217 | (2) |
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9.5 Application to attitude control system with low precision sensors |
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219 | (5) |
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9.5.1 Simulation result in the presence of Gaussian white noise |
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221 | (2) |
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9.5.2 Simulation result in the presence of heavy-tailed noise |
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223 | (1) |
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9.6 Application to distributed attitude control system |
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224 | (5) |
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225 | (1) |
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9.6.2 Quantitative analysis |
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226 | (3) |
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229 | (4) |
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10 Conclusion and future work |
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233 | (1) |
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234 | (1) |
References |
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235 | (12) |
Index |
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247 | |