Robust H ,, sliding mode control for delay-dependent uncertain T-S fuzzy descriptor stochastic Markovian jump systems with mode-dependent time-varying delays

In this article, the admissibility analysis and robust H ,, sliding mode control (SMC) are studied for uncertain T-S fuzzy singular stochastic Markovian jump systems (SSMJSs) with modedependent time-varying delays. The novelty of the article lies in designing a new fuzzy integral sliding manifold function to eliminate the strict assumptions on the system matrices and the limitations caused by the previous integral sliding mode control methods in practical applications. Sufficient conditions are derived to ensure stochastic admissibility of SSMJSs with a specified H ,, performance. In addition, a suitable fuzzy sliding mode controller is developed to keep the states of SSMJSs on a predetermined fuzzy manifold under the presence of uncertainties. Finally, some numerical and a practical experiment of bio-economic systems are simulated to demonstrate the validity and feasibility of the proposed method.