In this article, a novel fault reconstruction algorithms for fractional-order nonlinear switching systems (FONSSs) with actuator and sensor faults are investigated. First, fractional-order nonlinear system (FONS) with faults, is transformed into two fast and slow subsystems using global differential homogeneous transformation, one of which is unaffected by the fault and the state is partially observable; the other subsystem is affected by the fault but the state is fully observable. After that, it is introduced for the first time that persistent dwell-time (PDT) switching is taken into consideration in the design process of the observer for FONSS, which overcomes the transient problem of the switching moment and ensures the stability of the error dynamics equations of the two fast and slow subsystems. In addition, to eliminate the impact of faults, an optimal adaptive fault-tolerant control strategy based on actor_critic architecture NN are designed to effectively compensate. Finally, the effectiveness of the proposed control strategy is verified by simulation results.

中文翻译：

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基于最优容错控制的分数阶非线性开关系统故障重构算法


在本文中，研究了一种针对具有执行器和传感器故障的分数阶非线性开关系统（FONSS）的新颖故障重建算法。首先，利用全局微分齐次变换将存在故障的分数阶非线性系统（FONS）转化为两个快子系统和慢子系统，其中一个子系统不受故障影响且状态部分可观；另一个子系统受到故障的影响，但状态是完全可观察的。随后，首次介绍了FONSS观测器设计过程中考虑了持续驻留时间（PDT）切换，克服了切换时刻的瞬态问题，保证了误差动态的稳定性。两个快子系统和慢子系统的方程。此外，为了消除故障的影响，设计了基于actor_critic架构NN的最优自适应容错控制策略来有效补偿。最后，通过仿真结果验证了所提出控制策略的有效性。