Improvements on non-quadratic stabilization of continuous-time Takagi-Sugeno descriptor models

This paper presents a relaxed approach for stabilization and H_∞ disturbance rejection of continuous-time Takagi-Sugeno models in descriptor form. Based on Finsler´s Lemma, the control law can be conveniently decoupled from a non-quadratic Lyapunov function. These developments include and outperform previous results on the same subject while preserving the advantage of being expressed as linear matrix inequalities. Two examples are presented to illustrate the improvements.