This paper investigates the problem of fault diagnosis and fault-tolerant control in switched systems with actuator fault under unknown input disturbances. Initially, an adaptive unknown input observer capable of rapidly estimating faults was designed, incorporating proportional terms to enhance the response speed of fault estimation. Subsequently, by employing the average dwell time approach and using Lyapunov functions, the globally uniformly asymptotically stable of the error system under the H∞ performance index was proven. Following this, a state feedback controller was constructed using the state and error estimates from the observer, thereby guaranteeing closed-loop system stability even when faults occur. Finally, the effectiveness of the proposed method was validated through simulation examples.

中文翻译：

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基于自适应未知输入观测器的开关系统稳健容错控制


该文研究了未知输入干扰下致动器故障开关系统的故障诊断和容错控制问题。最初，设计了一个能够快速估计故障的自适应未知输入观测器，并结合比例项来提高故障估计的响应速度。随后，通过采用平均驻留时间方法并使用 Lyapunov 函数，证明了误差系统在 H∞ 性能指标下的全局均匀渐近稳定。在此之后，使用观测器的状态和误差估计构建了一个状态反馈控制器，从而保证即使在发生故障时也能保持闭环系统的稳定性。最后，通过仿真算例验证了所提方法的有效性。