Finite-time H∞ sliding mode control for uncertain singular stochastic system with actuator faults and bounded transition probabilities

Abstract

Abstract This paper investigates the finite-time H ∞ control problem for singular Markovian jump system with actuator fault through the sliding mode control approach. Based on the observer, the augment system can be constructed with time-varying delays and actuator failure. Continuous actuator failure model is considered in this paper. Next, a sliding surface is considered under which sufficient conditions are given to make sure the augment system is singular stochastic H ∞ finite-time bounded. And the sliding mode control law is synthesized to guarantee the reachability of the sliding surface in a short time interval. The state feedback controller gain matrices and observer gain matrices are obtained by solving the relevant linear matrix inequalities. Decoupling method has been adopted for the coupled variables. Finally, simulation examples illustrate the validity of the proposed method.