Regularization and Stabilization for Rectangular T-S Fuzzy Discrete-Time Systems With Time Delay

被引：20
|
作者：
Chen, Jian [1 ,2 ]
Lin, Chong [1 ]
Chen, Bing [1 ]
Wang, Qing-Guo [3 ]
机构：
[1] Qingdao Univ, Inst Complex Sci, Qingdao 266071, Peoples R China
[2] Qingdao Univ Technol, Coll Automat Engn, Qingdao 266555, Peoples R China
[3] Univ Johannesburg, Inst Intelligent Syst, ZA-2006 Johannesburg, South Africa
来源：
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2019年 / 49卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Admissibility; discrete-time system; dynamic compensation; T-S fuzzy model; time-delay; H-INFINITY CONTROL; OUTPUT-FEEDBACK CONTROL; DESCRIPTOR SYSTEMS; SINGULAR SYSTEMS; CONTROLLABILITY; OBSERVABILITY; STABILITY; OBSERVER; DESIGN;
D O I：
10.1109/TSMC.2017.2686433
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the regularization and stabilization problems for rectangular discrete-time fuzzy systems with time delay. A dynamic compensation is designed to ensure that the close-loop system is square, and a necessary and sufficient condition is proposed to guarantee the existence of a dynamic compensation with which the close-loop system is regular and causal. Moreover, sufficient conditions are derived in terms of bilinear matrix inequalities to guarantee the admissibility of the closed-loop system. We present an efficient algorithm which is proved to be convergent to solve the conditions. Two examples are given to show the effectiveness and efficiency of the proposed method.
引用
收藏
页码：833 / 842
页数：10
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