Model Reference Tracking Control Design of T-S Fuzzy Systems with Polynomial Input Functions

This paper proposes a fuzzy tracking control design for Takagi-Sugeno (T-S) fuzzy systems. T-S fuzzy model is used to represent the nonlinear systems subject to external disturbance. Based on Lyapunov's direct method, the model reference tracking control scheme based on the augmented system is proposed and a nonlinear control law is derived with robust H infinity performance. Sufficient condition is derived in terms of a state-dependent nonlinear matrix inequality and then it is converted into a sum-of-squares (SOS) optimization problem. Semi-definite programming and SOS decomposition techniques are employed to solve the optimization problem. Simulation example is given to illustrate tracking performance of the proposed method.