Input-output finite-time sliding mode fault-tolerant control for Markovian jump systems with incomplete transition rates

This paper deals with the input-output finite-time sliding mode control (SMC) problem of a class of uncertain Markovian jump systems with incomplete transition rates. It is assumed that the actuator failure may occur. A mode-dependent sliding surface is constructed. By synthesizing a fault-tolerant SMC scheme, the specified sliding surface can be reached in finite time. Furthermore, the input-output finite-time stability over both the reaching and sliding motion stages is ensured simultaneously by establishing some sufficient conditions. Finally, the developed fault-tolerant SMC approach is verified by a numerical example.