H∞ Based Decentralized Fuzzy Lyapunov Controller Design for Takagi-Sugeno Interconnected Descriptors

AbstractThis paper proposes, for nonlinear systems composed of interconnected Takagi-Sugeno fuzzy descriptors, a nonlinear H∞ based controller design. A set of decentralized non-Parallel-Distributed-Compensations (non-PDC) control law is employed to ensure the stability of the overall closed loop system and to achieve the H∞ performance in order to minimize the interconnection effects between subsystems. Sufficient conditions are derived, based on the Lyapunov theory. These ones are written into Linear Matrix Inequalities (LMI). Finally, a numerical example is given to illustrate the efficiency of the proposed approach.