Fault-Tolerant Control for Flexible Structures With Partial Output Constraint

• 成果类型: Article
• 署名作者: Han, Zhiji; Liu, Zhijie; Wang, Jun-Wei; He, Wei
• 署名单位: University of Science & Technology Beijing; University of Science & Technology Beijing; University of Science & Technology Beijing
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3337110
• 发表日期: 2024
• 页码: 2668-2675
• 关键词: actuators; Flexible structures; mathematical models; Fault tolerant systems; Fault tolerance; Hilbert space; vibrations; Constraint control; distributed parameter system; fault-tolerant control; flexible structure; relaxed initial condition

摘要

In this article, we propose an adaptive fault-tolerant control strategy for flexible string systems and extend the result to Euler-Bernoulli beam systems under deferred and asymmetric boundary partial output constraints. The designed control strategies consist of a boundary control law and two adaptive parameter update laws. A hyperbolic tangent function is applied to realize rejection to disturbance. With the adaptive technique, the unknown actuator faults are compensated. The deferred partial output constraints are addressed by utilizing a shifting function to remove the initial limitation on the boundary output and constructing a novel asymmetric barrier Lyapunov function. Furthermore, it is proven that both the controlled string and Euler-Bernoulli beam systems are well-posed and meet the deferred constraint conditions. Finally, extensive simulation examples are presented to demonstrate the performance of the proposed control methods.