Robust static output feedback fuzzy control design for nonlinear systems with persistent bounded disturbances: A singular value decomposition approach

This study introduces L∞ — gain static output feedback fuzzy control design for nonlinear systems via T-S fuzzy models. Unlike the L2 — gain (H∞) control case, the L∞-gain control problem is dealing with persistent bounded disturbances. The structure of static output feedback controller is much simpler than that of dynamic output feedback controller. A singular value decomposition (SVD) method is proposed to solve the L∞-gain static output feedback fuzzy control problem. By the proposed SVD method, the problem of L∞ — gain static output feedback fuzzy control design for nonlinear systems is characterized in terms of solving a linear matrix inequality problem (LMIP) if some scalars are specified in advance.