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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