Robust (Q,S,R)-γ-dissipative dynamic output feedback sliding mode control for descriptor T–S fuzzy Markovian jump systems with actuator faults

Abstract

This paper researches the problem of dynamic output feedback (DOF) dissipative control for T–S fuzzy singular Markovian jump systems (FSMJSs) with mode-dependent time varying delays (MDTVDs) and actuator faults. Firstly, a new fuzzy sliding mode manifold function is proposed for eliminating strict assumptions of system matrices and limitations of previous integral sliding mode control (SMC) in practical applications. Secondly, by utilizing the improved Lyapunov function, sufficient conditions for stochastic admissibility of SMJSs with MDTVDs are derived. In addition, the problem of DOF stability is solved by using orthogonal complementarity technique and linear matrix inequality. Finally, the simulation results of a truck–trailer system demonstrate the validity of the method in this article.