Delay-dependent robust H ∞ control for uncertain stochastic T–S fuzzy systems with time-varying state and input delays

Abstract

In this article, the problem of delay-dependent robust H ∞ control for uncertain stochastic Takagi–Sugeno fuzzy systems with time-varying state and input delays is investigated. The parameter uncertainties are assumed to be time-varying and norm bounded. Through construction of a new Lyapunov–Krasovskii functional, the delay-dependent robust H ∞ control scheme is presented in terms of linear matrix inequalities (LMIs). By solving these LMIs, a desired fuzzy controller can be obtained. Finally, a numerical example is given to illustrate the effectiveness of the developed method.