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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

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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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