Dynamic Surface Control Based TS-Fuzzy Model for a Class of Uncertain Nonlinear Systems

This paper revisits dynamic surface control based adaptive Takagi-Sugeno (TS) fuzzy model i.e. (DSC-TS), for a problem of uncertain nonlinear dynamical systems with bounded disturbance. Dynamic surface control (DSC) methods with the combination of TS-model are used for control and approximation of uncertain nonlinear systems up to a tolerance limit. DSC has the advantage over integrator backpsteping or multiple sliding controls are that it avoids an explosion of complexity. TS-fuzzy model is constructed by sector nonlinearity which converts the nonlinear model to multiple rule base of the linear model. Using the fuzzy contour integral Lyapunov function a new sufficient condition for the existence of the DSC based TS-fuzzy model filter design are implemented in terms of linear matrix inequalities. The proposed method provides enhancements and produces good results. Two different type examples are given to show the effectiveness of the proposed method.