Research On The Application Of H_∞ Satisfactory Control For Nonlinear System Base On T-S Fuzzy Model

Based on the conception of satisfactory control, the paper presents a state feedback satisfactory controller design of complex nonlinear systems, which can be represented to linear model by T-S fuzzy model but is nonlinear in essence. That is, the method adds constraints of pole and state covariance to H_∞control. And through questions of feasible solution to a set of linear matrix inequalities, the method describes the design of state feedback control which includes H_∞, pole and state covariance constraint. The parameters of the controller can be got through solving a set of linear matrix inequalities. The method makes that the system gets better static precise and dynamic performance. Separately for two situations of interface and parameter uncertainties in system, simulation results demonstrate that systems using controllers designed by this method give prominence to good static precise ,strong robustness and better closed-loop dynamic performance ,and make up the disadvantage of previous H_∞controllers for T-S fuzzy system which can only satisfy one.