A SVD approach to H∞ decentralized static output feedback fuzzy control design for nonlinear interconnected systems

This study introduces H_∞ decentralized static output feedback fuzzy control design for nonlinear interconnected systems via T-S fuzzy models. In general, due to the interactions among subsystems, it is difficult to design an H_∞ decentralized output feedback controller for nonlinear interconnected systems. A singular value decomposition (SVD) method is proposed in this study to solve the H_∞ decentralized static output feedback fuzzy control problem. By the proposed SVD method, the problem of H_∞ decentralized static output feedback fuzzy control design for nonlinear interconnected systems is characterized in terms of solving an eigenvalue problem (EVP). This EVP can be easily solved by using a LMI-based optimization method. Finally, simulation example is given to illustrate the design procedure and robust performance of the proposed methods.