This paper studies a fault-tolerant control problem of singularly perturbed systems with faults and disturbances. The original faulty system is decomposed into a reduced subsystem and a boundary-layer subsystem. Then, a composite fault-tolerant controller is designed with one part dealing with the reduced subsystem and the other dealing with the boundary-layer subsystem. Through regulating the two parts of the controller, the original faulty system is input-to-state stable with respect to disturbances when the perturbation parameter is small enough. An application to the longitudinal control system of a hypersonic vehicle is given at last. Its singularly perturbed model is derived and a composite fault-tolerant controller is designed to illustrate the effectiveness of the proposed method.

中文翻译：

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单扰动系统的容错控制与高超音速飞行器的应用

本文研究了具有故障和扰动的奇异摄动系统的容错控制问题。将原故障系统分解为缩减子系统和边界层子系统。然后，设计了一个复合容错控制器，一部分处理精简子系统，另一部分处理边界层子系统。通过调节控制器的两部分，当扰动参数足够小时，原始故障系统相对于扰动是输入状态稳定的。最后给出了在高超声速飞行器纵向控制系统中的应用。推导了其奇异摄动模型，并设计了一个复合容错控制器来说明所提出方法的有效性。