Robust [formula omitted] sliding mode control for uncertain polynomial fuzzy stochastic singular systems

Abstract

This paper considers the robust H∞ sliding mode control (SMC) problem for uncertain polynomial fuzzy stochastic singular systems. The interest is focused on designing a polynomial fuzzy sliding mode controller, and two assumptions in most integral SMC methods for fuzzy stochastic systems are removed. By constructing an integral sliding surface, the equivalent control law is obtained, and the sliding mode dynamics is derived. With the help of the sum-of-squares method, for sliding mode dynamics, the mean-square admissibility and the H∞ performance are guaranteed. Furthermore, the sliding mode controller is established. The effectiveness and advantages of the proposed design method are finally revealed via a practical example of the modified bio-economic model and a numerical example.