Spacecraft Maneuver with Performance Guaranteed: Control, Games, and Cooperation

✍ Scribed by Yufeng Gao, Dongyu Li

• Publisher: Springer
• Year: 2023
• Tongue: English
• Leaves: 452
• Category: Library

✦ Synopsis

Facing future-oriented aerospace applications, large-scale space construction and on-orbit services have rapidly developed. In such emerging and increasingly complex spacecraft maneuvering and control tasks, more precise control accuracy and higher performance guarantees need to be fully considered due to the need for safe close rendezvous movements.

This book is dedicated to solving the aerospace system’s performance guaranteed and precise control challenges with the expected transient and strict steady-state constraints. It is designed so that the aerospace closed-loop system can theoretically meet the pre-defined or prescribed performance requirements with the simple parameter selection. Furthermore, the expected performance constraints or indicators of the aerospace system time-domain performance response, such as settling time, overshoot, steady-state error, and state amplitude, will be directly guaranteed in the control design. Moreover, this book systematically proposes a series of spacecraft performance guaranteed control algorithms based on the practical situation of the aerospace system. For individual spacecraft, control algorithms that consider practical problems such as control task requirements, settling time constraints, transient performance normalization, input command constraints, and optimization faced by the on-orbit spacecraft are proposed to achieve the precise control objectives of the system under constraints and various complex situations. For the pre-combination and post-combination control of multiple spacecraft, game algorithms based on performance guarantees are proposed and thoroughly discussed. For spacecraft formations, control algorithms that consider full-state constraints, nonlinear uncertainties, output feedback, and collision avoidance are proposed.

This book provides the theoretical basis and simulation experience for scholars and engineers to develop high-performance, high-precision spacecraft control algorithms. Furthermore, it hopes that these will contribute to the development of the world’s aerospace technology.

✦ Table of Contents

Preface
Contents
1 Introduction
1.1 Research Background
1.2 On-Orbit Service Spacecraft Control
1.2.1 On-Orbit Service Spacecraft
1.2.2 Spacecraft Relative Motion Control
1.2.3 Spacecraft Constraint Control
1.2.4 Spacecraft Optimal Control
1.2.5 Spacecraft Differential Games
1.2.6 Spacecraft Cooperation
1.3 Performance Guaranteed Control
1.3.1 Problem Formulation of Performance Guaranteed Control
1.3.2 Performance Constraint Control with Constant Value Constraints
1.3.3 Funnel Control
1.3.4 Prescribed Performance Control
1.3.5 Finite-Time Prescribed Performance Control
1.3.6 Performance Guaranteed Control for Spacecraft
1.4 Main Contents of This Book
References
2 Spacecraft Model and Preliminaries
2.1 Introduction
2.2 Coordinate Systems
2.3 Spacecraft Systems
2.3.1 Quaternion
2.3.2 Spacecraft Attitude Systems
2.3.3 Spacecraft Formation Systems
2.4 Relevant Knowledge of Nonlinear System Control
2.4.1 Relevant Stability
2.4.2 Performance Guaranteed Technique with Pre-defined Maximum Settling Time Function
2.4.3 Command Filter
2.4.4 Optimal Control Based on Adaptive Dynamic Programming
2.4.5 Differential Nonzero-Sum Games
2.4.6 Graph Theory
2.5 Brief Summary
References
Part I Performance Guaranteed Control for Single Spacecraft
3 Spacecraft Performance Guaranteed Asymptotic Control with Settling Time Constraints
3.1 Introduction
3.2 Spacecraft Attitude Performance Guaranteed Asymptotic Control
3.3 Simulation Analysis
3.4 Conclusion
References
4 Spacecraft Finite-Time Performance Guaranteed Control
4.1 Introduction
4.2 Control Design and Stability Analysis Without Disturbances
4.3 Control Design and Stability Analysis with Disturbances
4.4 Simulation Analysis
4.4.1 Simulation Parameters
4.4.2 Performance and Comparison
4.5 Conclusion
References
5 Spacecraft Performance Guaranteed Control with Improved Transient Performance
5.1 Introduction
5.2 Norm-Normalized Sign Function and Ratio Persistence
5.3 Control Design with Improved Transient Performance
5.3.1 Control Design and Stability Analysis Without Disturbances
5.3.2 Control Design and Stability Analysis with Disturbances
5.4 Simulation Analysis
5.4.1 Simulation Parameters
5.4.2 Performance and Comparison
5.5 Conclusion
References
6 Spacecraft Performance Guaranteed Control with Command Filter
6.1 Introduction
6.2 Spacecraft Attitude Asymptotic Control Based on Command Filter
6.2.1 Control Design
6.2.2 Stability Analysis
6.3 Spacecraft Attitude Performance Guaranteed Asymptotic …
6.3.1 Control Design
6.3.2 Stability Analysis
6.4 Simulation Analysis
6.4.1 Simulation Parameters
6.4.2 Performance and Comparison
6.5 Conclusion
References
7 Spacecraft Finite-Time Performance Guaranteed Control with Command Filter
7.1 Introduction
7.2 Control Design and Stability Analysis Without Disturbances
7.3 Control Design and Stability Analysis with Disturbances
7.4 Finite-Time Convergence Analysis of Command Filter Compensators
7.5 Simulation Analysis
7.5.1 Simulation Parameters
7.5.2 Performance and Comparison
7.6 Conclusion
References
8 Spacecraft Performance Guaranteed Optimal Control with Adaptive Dynamic Programming
8.1 Introduction
8.2 Spacecraft Performance Guaranteed Optimal Control …
8.2.1 Control Design
8.2.2 Stability Analysis
8.3 Spacecraft Performance Guaranteed Optimal Control Based …
8.3.1 Control Design
8.3.2 Stability Analysis
8.4 Simulation Analysis
8.4.1 Simulation Parameters
8.4.2 Performance and Comparison
8.5 Conclusion
References
Part II Performance Guaranteed Games for Multiple Spacecraft
9 Performance Guaranteed Non-Zero-Sum Games for Multiple Spacecraft
9.1 Introduction
9.2 Spacecraft Game Model and Preliminaries
9.2.1 Two-Spacecraft Attitude Game Model
9.2.2 Performance Guaranteed with Pre-defined Maximum Settling Time Function
9.2.3 Optimal Non-Zero-Sum Games and Nash Equilibrium
9.3 Performance Guaranteed NZS Game with Experience …
9.3.1 Algorithm Design
9.3.2 Stability Analysis
9.3.3 Nash Equilibrium Analysis
9.3.4 Multiple Spacecraft Situation
9.4 Simulation Analysis
9.4.1 Simulation Parameters
9.4.2 Performance and Comparison
9.5 Conclusion
References
10 Performance Guaranteed Non-Zero-Sum Games for Combined Spacecraft
10.1 Introduction
10.2 Combined Spacecraft Game Model and Preliminaries
10.2.1 Combined Spacecraft Attitude Model with N Sets of Actuators
10.2.2 Performance Guaranteed Technique with Improved Performance Function
10.2.3 Optimal Non-Zero-Sum Games and Nash Equilibrium
10.3 Performance Guaranteed NZS Games with Experience Replay
10.3.1 Algorithm Design
10.3.2 Stability Analysis
10.3.3 Nash Equilibrium Solution
10.4 Simulation Analysis
10.4.1 Simulation Parameters
10.4.2 Performance and Comparison
10.5 Conclusion
References
Part III Performance Guaranteed Cooperation for Spacecraft Formation
11 Distributed Coordinated Control for Network Systems with Full-State Constraints
11.1 Introduction
11.2 Preliminaries and Problem Description
11.3 Control Design
11.3.1 Distributed Finite-Time Sliding-Mode Estimator
11.3.2 Distributed Coordinated Control with Full-State Constraints
11.4 Simulation
11.5 Conclusion
References
12 Distributed Coordinated Control for Networked Spacecraft with Output Constraints
12.1 Introduction
12.2 Preliminaries and Problem Description
12.3 Control Design
12.3.1 Distributed Finite-Time Sliding-Mode Estimator
12.3.2 Full-State Feedback Control with Output Constraints
12.3.3 Output Feedback Control with Output Constraints
12.4 Simulation
12.5 Conclusion
References
13 Formation-Containment Control for Networked Spacecraft with Output Feedback
13.1 Introduction
13.2 Preliminaries and Problem Description
13.3 First Layer: Distributed Formation Control Design for the Leaders
13.3.1 Distributed Finite-Time Sliding-Mode Estimator for Leaders
13.3.2 Distributed Formation Control of Leaders by Output Feedback
13.4 Second Layer: Distributed Containment Control Design for the Followers
13.4.1 Distributed Finite-Time Sliding-Mode Estimator for Followers
13.4.2 Distributed Containment Control of Followers by Output Feedback
13.5 Simulation
13.6 Conclusion
References
14 Formation-Containment Control for Networked Spacecraft with Collision Avoidance
14.1 Introduction
14.2 Preliminaries and Problem Description
14.3 Distributed Formation-Containment Control with Collision …
14.4 Simulation
14.5 Conclusion
References
15 Formation-Containment Control for Networked Spacecraft in Constrained Space
15.1 Introduction
15.2 Preliminaries and Problem Description
15.3 Layered Distributed Estimator
15.4 Layered Formation-Containment Control in Constrained Space
15.5 Simulation
15.6 Conclusion
References
16 Conclusion