The Passivity Control for a Kind of T-S Fuzzy Descriptor System
Baoyan Zhu, Xuefeng Zhang · Systems Engineering - Theory & Practice · 2006
This paper is concerned with the problem of passivity control for a kind of T-S fuzzy descriptor system.A necessary and sufficient to test the admissibility for the system is proved by means of the matrix decomposition method.Based on the condition,the notion of strictly passive is proposed and the sufficient conditions,which make the closed-loop system be admissible and strictly passive,are obtained for the system.The conditions are expressed as linear matrix inequalities(LMIs),so the feedback gain matrix can be obtained by solving the LMIs.The sufficient conditions can check the admissibility and passivity of the considered system only once.An illustrative example is given to show the validity and feasibility of the proposed approach.