Decentralized Stabilization of Nonlinear Multiple Time-Delay Interconnected Systems via H-infinity Fuzzy Control

A robustness design of H infin fuzzy control is proposed in this paper to overcome the effect of modeling error between nonlinear multiple time-delay systems and fuzzy models. In terms of Lyapunov's direct method, a stability criterion is hence 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 infin control performance is achieved in the mean time.