DU-Admissibility with static output feedback for uncertain descriptor T–S systems
Résumé
This paper deals with the problem of DU-admissibility analysis and synthesis for a class of uncertain continuous fuzzy descriptor systems. By adopting the linear matrix inequality approach and introducing some free matrices, sufficient conditions are established to ensure the DU-admissibility of the considered class of nonlinear uncertain descriptor systems. From this formulated criterion, a static output feedback multi-controller is designed to ensure the admissibility of the closed loop fuzzy descriptor systems and to improve the transient performances in a union of sub-regions. The merit and effectiveness of the proposed conditions are illustrated by two numerical examples.