Fuzzy Robust Hï‚¥ Control for Uncertain Systems with Fractional Brownian Motions

Abstract

The fuzzyHï‚¥ state feedback control for a class of uncertain systems with multiple state delays and fractional Brownian motions is proposed in this paper. Using PDC method and Lyapunov functional method, the systematic design procedure for the fuzzy robust controller is presented in the form of linear matrix inequalities (LMIs). The existence of fuzzyHï‚¥ state feedback controller is derived which guarantees the effect of the disturbance input on controlled output is reduced to a prescribed level, and the stochastic stability condition of the closed-system is proposed. Finally, an example is given to demonstrate the feasibility of the proposed results.