Robust Stabilization Control for Takagi-Sugeno Fuzzy Systems with Uncertainties

Abstract

This short note discusses a design of a robust stabilization controller for Takagi-Sugeno fuzzy system with uncertainties in control matrices. Takagi-Sugeno fuzzy system can represent a wide range of systems, and due to this, it is effective for nonlinear system control. However, generally on system identification, it is impossible to make math equation model which is completely same as control object. Therefore, we need to consider designing a controller for Takagi-Sugeno fuzzy system having uncertainties as modeling errors in order to improve control quality of the controller. In this short note, we employ a non-quadratic Lyapunov function including integral functions of membership functions. Finally, a numerical example is given to illustrate the effectiveness of our designed controller.