This study introduces L ∞  — gain static output feedback fuzzy control design for nonlinear systems via T-S fuzzy models. Unlike the L 2  — 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.
['Chung-Shi Tseng', 'Hwa-Lu Jhi']
Robust static output feedback fuzzy control design for nonlinear systems with persistent bounded disturbances: A singular value decomposition approach