Eliminating the parameter-dependence of recent LMI results on controller design of descriptor systems

In this paper, a novel approach for controller design and H∞ disturbance rejection of continuous-time Takagi-Sugeno descriptor models, is presented. This approach is based on a matrix transformation [1] which eliminates the parameter dependency of the linear matrix inequalities arising in some recent results. The proposed approach is an alternative to former results on the same subject (includes and outperforms previous results or act as a complement of other approaches) as shown both theoretically and via illustrative examples.