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.