Robust stabilization of optimal T-S fuzzy control systems

This paper deals with the stability analysis and control law design of a class of fuzzy systems. By taking advantage of the structure information of the premise rule base, piecewise fuzzy Lyapunov function is proposed. Based on the piecewise fuzzy Lyapunov function, a control design method for stabilization of fuzzy system is derived in the format of linear inequality matrix (LMI). This method reduces the conservatism of both piecewise Lyapunov function and fuzzy Lyapunov function. The stability condition obtained is more relaxed and the control system has good performance. The efficiency of the method is illustrated through the simulation of some numerical examples.