LMI Relaxed Stability Conditions for Fuzzy-Model-based Control Systems

This paper investigates the system stability of the fuzzy-model-based control systems. New stability conditions in terms of linear matrix inequalities (LMIs) will be derived based on the Lyapunov-based approach. It will be shown that the proposed stability conditions offer relaxed stability result than that of some important published stability conditions. The feedback gains of the fuzzy controller will be designed based on the LMI-based approach. A numerical example will be given to show the merits of the proposed stability conditions.