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Set theory-based spacecraft dynamics and control Chen Yang, Yuanqing Xia
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2026 English International Available online
View online- Format:
- Book
- Author/Creator:
- Yang, Chen, author.
- Xia, Yuanqing, author.
- Series:
- Intelligent control and learning systems ; 2662-5466 v. 26
- Intelligent control and learning systems 2662-5466 volume 26
- Language:
- English
- Subjects (All):
- Space vehicles--Dynamics.
- Space vehicles.
- Space vehicles--Control systems.
- Physical Description:
- 1 online resource
- Edition:
- 1st ed.
- Place of Publication:
- Singapore Springer [2026]
- Summary:
- This book presents a unified set theory-based framework for spacecraft dynamics and control under multi-source uncertainties and data-sparse conditions. First, it develops reduced-order modeling techniques for high-dimensional spacecraft dynamics by introducing interval and convex set-based uncertainty descriptions, enabling efficient model reduction while rigorously quantifying unknown-but-bounded uncertainties without reliance on large-sample statistical assumptions. Second, the book addresses spacecraft attitude determination, attitude dynamics and control problems under uncertainty, establishing interval and convex set-based formulations for attitude dynamics and different control methods, including optimal control, sliding mode control, and periodic control, and systematically integrating non-probabilistic time-dependent reliability analysis into the dynamics and control design process to simultaneously account for performance and safety requirements. Finally, the proposed methodologies are extended to rigid-flexible coupling spacecraft, where attitude motion and structural vibration interact under uncertain conditions, and set theory-based spacecraft dynamics, optimal control and bounded model predictive control strategies are developed to achieve coordinated attitude-vibration suppression with guaranteed reliability and computational efficiency. Overall, the book provides a systematic methodology that links uncertainty dynamics, control synthesis, and reliability-based design optimization, offering both solid theoretical foundations and practical tools for the dynamics and control of advanced spacecraft operating in uncertain and data-limited environments
- Contents:
- Introduction
- Interval-oriented Reduced-order Model for Uncertain Systems
- Convex Model-based Reduced-order Model for Uncertain Control Systems
- Uncertain robust attitude determination based on set theory
- Uncertain optimal attitude control for space power satellite based on interval Riccati equation with non-probabilistic time-dependent reliability
- Uncertain iterative optimal attitude control method for periodic satellite with reliability constraint
- Reliability-constrained uncertain spacecraft sliding mode attitude control with set theory
- Reliability-constrained optimal attitude-vibration control for rigid-flexible coupling satellite using interval dimension-wise analysis
- Bounded model predictive control for rigid-flexible coupling satellite with reliability constraint
- Hybrid-uncertainty-based attitude control for rigid-flexible satellite considering degradation and non-probabilistic reliability
- Notes:
- Includes bibliographical references
- Online resource; title from PDF title page (SpringerLink, viewed June 2, 2026)
- ISBN:
- 9789819591794
- 9819591791
- OCLC:
- 1593564318
- Access Restriction:
- Restricted for use by site license
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