Finite-Time Fuzzy Fault-Tolerant Control for Nonlinear Flexible Spacecraft System with Stochastic Actuator Faults

Jiao Xu, Tao Song () and Jiaxin Wang
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Jiao Xu: School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
Tao Song: School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
Jiaxin Wang: Poly Technologies Inc., Beijing 100010, China

Mathematics, 2024, vol. 12, issue 4, 1-25

Abstract: In the quest for unparalleled reliability and robustness within control systems, significant attention has been directed toward mitigating actuator faults in diverse applications, from space vehicles to sophisticated industrial systems. Despite these advances, the prevalent assumption of homogeneous actuator faults remains a stark simplification, failing to encapsulate the stochastic and unpredictable nature of real-world operational environments. The problem of finite-time fault-tolerant control for nonlinear flexible spacecraft systems with actuator faults is addressed in this paper, utilizing the T-S fuzzy framework. In a departure from conventional approaches, actuator failures are modeled as random signals following a nonhomogeneous Markov process, thus comprehensively addressing the issue of timeliness, which has previously been overlooked in the literature. To effectively manage the intricacies introduced by these factors, the nonhomogeneous Markov process is represented as a polytope set. The proposed solution involves the development of a nonhomogeneous matrix transformation, accompanied by the introduction of adaptable parameters. This innovative controller design methodology yields a stability criterion that ensures H ∞ performance in a mean-square sense. To empirically substantiate the effectiveness and advantages of the proposed approaches, a numerical example featuring a nonlinear spacecraft system is presented.

Keywords: flexible spacecraft; T-S fuzzy model; fault-tolerant control; stochastic actuator fault (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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