Robust fuzzy control of nonlinear systems with parametric uncertainties

This paper addresses the robust fuzzy control problem for nonlinear systems in the presence of parametric uncertainties. The Takagi-Sugeno (T-S) fuzzy model is adopted for fuzzy modeling of the nonlinear system, Two cases of the TS fuzzy system,vith parametric uncertainties, both continuous-time and discrete-time cases are considered. In both continuous-time and discrete-time cases, sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability, for the TS fuzzy system with parametric uncertainties. The sufficient conditions are formulated in the format of linear matrix inequalities. The TS fuzzy model of the chaotic Lorenz system, which has complex nonlinearity, is developed as a test bed, The effectiveness of the proposed controller design methodology is finally demonstrated through numerical simulations on the chaotic Lorenz system.