DR -Admissibility With Static Output Feedback For Uncertain Descriptor Fuzzy System

Abstract In this paper, the issue of DR-admissibility analysis and synthesis for a class of uncertain continuous fuzzy descriptor systems is investigated. The descriptor Takagi-sugeno T-S fuzzy model with parameter uncertainties is adopted for admissibility analysis and control design. Using linear matrix inequality approach and introducing some free matrices, sufficient criterion is established to guarantee the admissibility and DR-stability of the considered class of nonlinear systems. From this new characterization, fuzzy static output feedback controller is designed not only to ensure the admissibility of the closed loop descriptor systems but also the transient performances in a specified LMI region. An example is introduced to illustrate the effectiveness of the proposed condition.