Controller Synthesis of Affine TS Fuzzy Systems based on Piecewise Lyapunov Function

This paper presents a new approach for controller design of continuous-time affine TS fuzzy systems. Based on piecewise quadratic Lyapunov function, a sufficient condition of closed-loop fuzzy system is proposed. Via variable replaced, bilinear matrix inequalities (BMIs) are converted into LMIs so that control law can be solved efficiently via LMI control toolbox in MATLAB. Compared with previous works, the new method proposed in this paper can release the conservatism of using a common P matrix, and piecewise quadratic Lyapunov can be solved more effective. A simulation example is given to demonstrate feasibility of the proposed method