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.
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Ren et al. (2019) studied this question.
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