Fuzzy control design for nonlinear interconnected systems by transforming the interconnection into a weighting linear term

This paper studies the H∞ control problem for a nonlinear interconnected system with nonlinear interconnections and disturbance. In the nonlinear interconnected system, each subsystem “without” nonlinear interconnections and disturbance is transformed into a T-S fuzzy system and the nonlinear interconnection corresponding to each subsystem is represented by a weighted linear term. In this study, some conditions are proposed to guarantee the existence of Parallel Distributed Compensation (PDC) type fuzzy controllers and then synthesize the controllers using Linear Matrix Inequality (LMI) tool such that the H∞ control performance of the nonlinear interconnected system is achieved.