This paper addresses the fault tolerant control problem for high-speed trains in case of multiple possible failures. A new multiple point-mass model with system faults is built based on a stochastic jump system model approach. A novel active fault tolerant composite hierarchical anti-disturbance control strategy based on the disturbance observer is proposed such that the resulting composite system is stochastically stable with position and velocity tracking performance. According to whether the transition probabilities (TPs) of the failure and fault detection and isolation process can be accessed completely, three different cases (TPs are completely known, partially known, and completely unknown) are analyzed. For each case, based on the Lyapunov functional approach, a composite hierarchical controller is synthesized via a convex optimization problem. Finally, the simulations are given to illustrate the performance of the proposed methodologies.

中文翻译：

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基于干扰观察器的高速列车容错控制：马尔可夫跳跃系统模型方法

本文解决了高速列车在多种可能故障情况下的容错控制问题。基于随机跳跃系统模型方法建立了一种新的多点质量系统故障模型。提出了一种基于干扰观测器的新型主动容错复合分层抗干扰控制策略，使得所得到的复合系统具有位置和速度跟踪性能的随机稳定。根据故障和故障检测与隔离过程的转移概率(Transition probabilities，TPs)是否可以完全访问，分析了三种不同的情况(TPs完全已知、部分已知和完全未知)。对于每种情况，基于 Lyapunov 泛函方法，通过凸优化问题合成复合分层控制器。最后，给出了模拟来说明所提出方法的性能。