Decentralized stabilization of H-infinity fuzzy control for nonlinear multiple time-delay interconnected systems

Abstract

A robustness design of H infinity fuzzy control is proposed in this paper to overcome the effect of modeling errors between nonlinear multiple time-delay systems and fuzzy models. In terms of Lyapunov's direct method, a stability criterion is derived to guarantee the UUB (uniformly ultimately bounded) stability of nonlinear multiple time-delay interconnected systems with disturbances. Based on this criterion and the decentralized control scheme, a set of fuzzy controllers is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the nonlinear multiple time-delay interconnected systems and the H infinity control performance is achieved in the mean time.