FTC for Nonlinear Markovian Jump Systems with Sliding Mode Observer Method

This paper presents a novel fault-tolerant control approach for the compensation of simultaneous actuator and sensor failures in Markovian jump systems (MJS) with Lipschitz nonlinearities. Such kind of plants are common in practical systems. In this work, we firstly design a sliding mode observer for a new descriptor augmented plant. By employing the developed observer, the effects of actuator and sensor faults can be eliminated. It is shown that the stabilization of the overall closed-loop plant can be guaranteed by the proposed FTC scheme. Finally, A simulation example is used to show the validity of the theoretical results.