Robust H∞ sliding mode control for nonlinear stochastic T-S fuzzy singular Markovian jump systems with time-varying delays

In this paper, the robust H-infinity stabilization problem for stochastic T-S fuzzy singular Markovian jump systems with time delays is investigated by using integral sliding mode control. A novel fuzzy integral-type sliding surface function is designed by fully taking the singular derivative matrix into account. By the utilization of linear matrix inequality technique, a delay-dependent criterion is derived, which guarantees the sliding mode dynamics to be stochastically admissible with a prescribed H-infinity performance. Moreover, a suitable sliding mode law is synthesized to ensure the stochastic admissibility of the resulting closed-loop system, and the proposed sliding mode control law can steer the trajectories of the controlled system to the specified sliding surface in finite time. Finally, three examples are provided to illustrate the effectiveness of the proposed method. (C) 2020 Elsevier Inc. All rights reserved.