航天器姿态控制 一种线性矩阵不等式方法

Contents
Preface
1．Introduction of basic knowledge
1．1 Linear matrix inequalities
1．1．1 What are linear matrix inequalities?
1．1．2 Useful lemmas for linear matrix inequalities
1．1．3 Advantages of linear matrix inequalities
1．1．4 Some standard linear matrix inequalitie problems
1．2 Spacecraft attitude kinematics and dynamics
1．2．1 Attitude representations
1．2．2 Attitude kinematics
1．2．3 Attitude dynamics
References

2．State feedback nonfragile control
2．1 Introduction
2．2 Problem formulation
2．2．1 Attitude dynamics modeling
2．2．2 Control objective
2．3 State feedback nonfragile control law
2．3．1 Some lemmas
2．3．2 Sufficient conditions under additive perturbation
2．3．3 Sufficient conditions under multiplicative perturbation
2．4 Simulation test
2．4．1 Simulation results under additive perturbation
2．4．2 Simulation results under multiplicative perturbation
2．4．3 Simulation results using a mixed H2/HN controller
2．5 Conclusions
References

3．Dynamic output feedback nonfragile control
3．1 Introduction
3．2 Problem formulation
3．2．1 Attitude system description
3．2．2 Nonfragile control problem
3．2．3 Control objective
3．3 Dynamic output feedback nonfragile control law design
3．3．1 Some lemmas
3．3．2 Controller design under additive perturbation
3．3．3 Controller design under multiplicative perturbation
3．3．4 Controller design under coexisting additive and multiplicative perturbations
3．4 Simulation test
3．4．1 Simulation results under additive perturbation
3．4．2 Simulation results under multiplicative perturbation
3．4．3 Simulation results under coexisting additive and multiplicative perturbations
3．5 Conclusions
References

4．Observer-based fault tolerant delayed control
4．1 Introduction
4．2 Problem formulation
4．2．1 Attitude system description
4．2．2 Control objective
4．3 Observer-based fault tolerant control scheme
4．3．1 Intermediate observer design
4．3．2 Delayed controller design
4．3．3 Control solution
4．4 Simulation test
4．4．1 Simulation results using the proposed controller
4．4．2 Simulation results using the prediction-based sampled-dataHN controller
4．4．3 Comparison analysis using different controllers
4．5 Conclusions
References

5．Observer-based fault tolerant nonfragile control
5．1 Introduction
5．2 Problem formulation
5．2．1 Attitude system description
5．2．2 Stochastically intermediate observer design
5．2．3 Nonfragile controller design
5．2．4 Control objective
5．3 Feasible solution for both cases
5．3．1 Some lemmas
5．3．2 Sufficient conditions under additive perturbation
5．3．3 Sufficient conditions under multiplicative perturbation
5．4 Simulation test
5．4．1 Comparison analysis under additive perturbation
5．4．2 Comparison analysis under multiplicative perturbation
5．5 Conclusions
References

6．Disturbance observer-based controlwith input MRCs
6．1 Introduction
6．2 Problem formulation
6．2．1 Attitude system description
6．2．2 Control objective
6．3 Controller design and analysis
6．3．1 Some lemmas
6．3．2 Coexisting conditions for observer and controller gains
6．3．3 Proof and analysis
6．4 Simulation test
6．4．1 Nonzero angular rates
6．4．2 Zero angular rates
6．4．3 Evaluation indices for the three conditions
6．4．4 Parametric influence on control performance
6．5 Conclusions
References

7．Improved mixed H2/HN control with poles assignment constraint
7．1 Introduction
7．2 Problem formulation
7．2．1 Flexible spacecraft dynamics with two bending modes
7．2．2 HN and H2 performance constraint
7．2．3 Poles assignment
7．2．4 Control objective
7．3 Improved mixed H2/HN control law
7．3．1 Some lemmas
7．3．2 H2 control
7．3．3 Mixed H2/HN control
7．4 Simulation test
7．4．1 Simulation results using static output feedback controller
7．4．2 Simulation results using improved mixed H2/HN controller
7．4．3 Simulation results using a traditional mixed H2/HN controller
7．4．4 Comparison analysis using different controllers
7．5 Conclusions
References

8．Nonfragile HN controlwith input constraints
8．1 Introduction
8．2 Problem formulation
8．2．1 Attitude system description of flexible spacecraft
8．2．2 Passive and active vibration suppression cases
8．2．3 Brief introduction on piezoelectric actuators
8．2．4 Improved model and control objective
8．3 Nonfragile HN control law
8．3．1 Sufficient conditions under additive perturbation
8．3．2 Sufficient conditions under multiplicative perturbation
8．4 Simulation test
8．4．1 Comparisons of control performance under additive perturbation
8．4．2 Comparisons of control performance under multiplicative perturbation
8．4．3 Simulation comparison analysis
8．5 Conclusions
References

9．Antidisturbance controlwith active vibration suppression
9．1 Introduction
9．2 Problem formulation
9．2．1 Attitude dynamics modeling
9．2．2 Preliminaries
9．2．3 Control objective
9．3 Antidisturbance control law with input magnitude， and rate constraints
9．3．1 Stochastically intermediate observer design
9．3．2 Antidisturbance controller design
9．3．3 Sufficient conditions for uniform ultimate boundedness
9．3．4 Sufficient conditions for HN control strategy
9．3．5 Sufficient conditions for input magnitude， and rate constraints
9．4 Simulation test
9．4．1 Simulation results using an antidisturbance controller
9．4．2 Simulation results using a mixed H2/HN controller
9．5 Conclusions
References

10．Chaotic attitude trackingcontrol
10．1 Introduction
10．2 Problem formulation
10．2．1 Chaotic attitude dynamics
10．2．2 Chaotic system characteristics and chaotic attractor
10．2．3 Tracking error dynamics and control objective
10．3 Adaptive variable structure control law
10．4 Simulation test
10．5 Conclusions
References

11．Underactuatedchaotic attitude stabilization control
11．1 Introduction
11．2 Problem formulation
11．2．1 Chaotic attitude system description
11．2．2 Two examples of Chen and Lu systems
11．2．3 Control objective
11．3 Sliding mode control law
11．3．1 Reference trajectory design
11．3．2 Controller design
11．4 Simulation test
11．4．1 Simulation results for the failure of one actuator
11．4．2 Simulation results for failure of two actuators
11．5 Conclusions
References
Index