Spacecraft Attitude Control
A Linear Matrix Inequality Approach
- 1st Edition - January 31, 2022
- Latest edition
- Authors: Chuang Liu, Xiaokui Yue, Keke Shi, Zhaowei Sun
- Language: English
Spacecraft Attitude Control: A Linear Matrix Inequality Approach solves problemsfor spacecraft attitude control systems using convex optimization and, specifi cally,through… Read more
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Description
Description
Spacecraft Attitude Control: A Linear Matrix Inequality Approach solves problems
for spacecraft attitude control systems using convex optimization and, specifi cally,
through a linear matrix inequality (LMI) approach. High-precision pointing and improved
robustness in the face of external disturbances and other uncertainties are requirements
for the current generation of spacecraft. This book presents an LMI approach to spacecraft
attitude control and shows that all uncertainties in the maneuvering process can be
solved numerically. It explains how a model-like state space can be developed through a
mathematical presentation of attitude control systems, allowing the controller in question to
be applied universally. The authors describe a wide variety of novel and robust controllers,
applicable both to spacecraft attitude control and easily extendable to second-order
systems. Spacecraft Attitude Control provides its readers with an accessible introduction
to spacecraft attitude control and robust systems, giving an extensive survey of current
research and helping researchers improve robust control performance.
Key features
Key features
- Considers the control requirements of modern spacecraft
- Presents rigid and flexible spacecraft control systems with inherent uncertainties mathematically, leading to a model-like state space
- Develops a variety of novel and robust controllers directly applicable to spacecraft control as well as extendable to other second-order systems
- Includes a systematic survey of recent research in spacecraft attitude control
Readership
Readership
Practicing professionals, undergraduate and graduate students in the field of spacecraft attitude control or control engineering and readers interested in the field of spacecraft attitude control or robust control systems
Table of contents
Table of 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-data HN 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 control with input magnitude and rate constraints
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 control with 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 control with 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 tracking control
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. Underactuated chaotic 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
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-data HN 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 control with input magnitude and rate constraints
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 control with 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 control with 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 tracking control
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. Underactuated chaotic 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
Product details
Product details
- Edition: 1
- Latest edition
- Published: February 4, 2022
- Language: English
About the authors
About the authors
CL
Chuang Liu
Chuang Liu is an Associate Professor at Northwestern Polytechnical University, China. He is also Scientific Committee Member of Aeromeet 2022. He received the COSPAR Outstanding Paper Award for Young Scientists in 2020. His research focuses on aerospace engineering.
Affiliations and expertise
Associate Professor, Northwestern Polytechnical University, ChinaXY
Xiaokui Yue
Xiaokui Yue is a Professor at Northwestern Technical University, China. His research has focused on the frontiers of space exploration and on computational methods for nonlinear dynamical systems.
Affiliations and expertise
Professor, Northwestern Technical University, ChinaKS
Keke Shi
Keke Shi is a Research Assistant at the Harbin Institute of Technology, China. His research is focused on overall spacecraft design and dynamics control.
Affiliations and expertise
Research Assistant, Harbin Institute of Technology, ChinaZS
Zhaowei Sun
Zhaowei Sun is a Professor at the Harbin Institute of Technology, China. His research focuses on overall spacecraft dynamics and control.
Affiliations and expertise
Professor, Harbin Institute of Technology, ChinaView book on ScienceDirect
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