Robust H∞ control for nonlinear uncertain stochastic T–S fuzzy systems with time delays

AbstractThis work deals with the problem of robust H∞ control for nonlinear uncertain stochastic Takagi–Sugeno (T–S) fuzzy systems with time delays. The system under consideration involves parameter uncertainties, Itô-type stochastic disturbances and nonlinear disturbances. On the basis of a Lyapunov–Krasovskii functional (LKF), the delay-dependent robust H∞ control scheme is presented in terms of linear matrix inequalities (LMIs). By solving these LMIs, a desired controller can be obtained. Finally, a numerical example is given to illustrate the effectiveness of the proposed method