Non-quadratic stabilization of second order continuous Takagi-Sugeno descriptor systems via line-integral Lyapunov function

In this paper, a line-integral fuzzy Lyapunov function is proposed for stability and stabilization of continuous-time Takagi-Sugeno descriptor models. The scheme enhances the relaxation due to the Lyapunov function by combining it with an application of the Finsler´s lemma which allows an independent controller design up to second order systems. The proposed approach includes and outperforms former results on the same subject as shown both theoretically and via illustrative examples.