Robust H∞-Based Control for Uncertain Stochastic Fuzzy Switched Time-Delay Systems via Integral Sliding Mode Strategy

In this article, we investigate the problems of robust exponential stabilization in mean square and H-infinity-based integral sliding mode controller design for uncertain stochastic Takagi-Sugeno (T-S) fuzzy switched time-delay systems with both matched and unmatched uncertainties under synchronous switching and asynchronous switching, respectively. In these systems, the control input is dependent on a switching signal. Under synchronous switching and asynchronous switching, sufficient conditions are developed to guarantee that the resulting closed-loop systems are robustly exponentially stable in mean square with a prescribed H-infinity-performance, respectively. The integral sliding mode surfaces and the sliding mode controllers are designed for the underlying systems under synchronous switching and asynchronous switching, respectively. By two examples stemming from the mass-spring-damper model and the single-link robot arm model under stochastic perturbation, the effectiveness of the results obtained is verified.