Passivity Control for Uncertain T-S Fuzzy Descriptor Systems

作     者：ZHU Bao-Yan ZHANG Qing-Ling TONG Shao-Cheng ZHU Bao-Yan;ZHANG Qing-Ling;TONG Shao-Cheng

作者机构：Institute of Systems Science Northeastern University Shenyang 110004 College of Sciences Shenyang Jianzhu University Shenyang 110168 Department of Mathematics and Physics Liaoning Institute of Technology Jinzhou 121001 

出 版 物：《自动化学报》 (Acta Automatica Sinica)

年 卷 期：2006年第32卷第5期

页      面：674-679页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 

基　　金：Supported by National Natural Science Foundation of P. R  China (60574011)the Distinguished Teacher Funds of Liaoning Universities (124210)the Key Laboratory Funds of Liaoning Universities of Intelligent Control Theory and Applications 

主　　题：Uncertain T-S fuzzy descriptor systems admissibility passivity linear matrix inequality (LMI) 

摘      要：By means of matrix decomposition method a criterion is presented for the admissibility of T-S fuzzy descriptor system. Then, the problem of passivity control is studied for a kind of T-S fuzzy descriptor system with uncertain parameters, and sufficient conditions which make the closed-loop system admissible and strictly passive are obtained based on linear matrix inequality (LMI). The nonstrict LMIs restricted conditions which characterize the descriptor system are transformed into strict ones, so testing admissibility and passivity of the system can be finished simultaneously. The design scheme of state feedback controller is also obtained. Finally, a numerical example is given to show the validity and feasibility of the proposed approach.