Finsler´s relaxation for local H-infinity controller design of continuous-time Takagi-Sugeno models via non-quadratic Lyapunov functions

This paper presents a new robust controller design based on non-quadratic Lyapunov functions for continuous-time Takagi-Sugeno Models. Using non-PDC controller and Finsler´s Lemma, the new scheme leads to the design of a local H infinity controller ensuring external disturbance attenuation, and a way to handle the time-derivative of the membership functions. Conditions for robust stabilization are given in the form of Linear Matrix inequalities. Examples are given to illustrate the effectiveness of the proposed method.