Decentralized H∞ Control for the Fuzzy Large-Scale Systems

This paper investigates decentralized H-infinity controller design for the fuzzy large-scale systems, which are composed of a number of T-S fuzzy subsystems with interconnections. First, according to the Lyapunov direct method and the decentralized control theory of large-scale systems, a sufficient condition in the form of LMIs which guarantees the existence of state feedback H-infinity control for fuzzy large-scale systems is proposed. Second, if states are not all available, decentralized fuzzy observers are proposed to estimate the states of each subsystem for decentralized control. Consequently, the fuzzy observer-based state feedback decentralized fuzzy controllers are obtained to solve H-infinity control problem. Finally, a numerical example is given to demonstrate the fuzzy observer-based controller design procedure and its effectiveness.