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

This study introduces L<inf>∞</inf> — gain static output feedback fuzzy control design for nonlinear systems via T-S fuzzy models. Unlike the L<inf>2</inf> — gain (H<inf>∞</inf>) control case, the L<inf>∞</inf>-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<inf>∞</inf>-gain static output feedback fuzzy control problem. By the proposed SVD method, the problem of L<inf>∞</inf> — 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.

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