Fuzzy normalization and stabilization for a class of nonlinear rectangular descriptor systems

This paper studies the problem of fuzzy normalization and stabilization for a class of rectangular descriptor systems in Takagi-Sugeno (T-S) fuzzy models. It delivers a feasible scheme for the design of proportional and derivative type dynamic compensator which ensures the closed-loop system normalized and admissible. The dynamic compensator parameters are computed by solving a set of quadratic matrix inequalities, and accordingly, an efficient algorithm is built to solve related matrix inequalities. Illustrative examples are given to show the effectiveness of the present results.