Sliding mode control of T-S fuzzy descriptor systems with time-delay

被引：102
|
作者：
Han, Chunsong [1 ,2 ]
Zhang, Guojiang [3 ]
Wu, Ligang [1 ]
Zeng, Qingshuang [1 ]
机构：
[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
[2] Qiqihar Univ, Sch Comp & Control Engn, Qiqihar 161002, Peoples R China
[3] Harbin Inst Technology, Control & Simulat Ctr, Harbin 150001, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 04期
基金：
中国国家自然科学基金; 黑龙江省自然科学基金;
关键词：
H-INFINITY CONTROL; STABILITY ANALYSIS; DEPENDENT STABILITY; STABILIZATION; DESIGN;
D O I：
10.1016/j.jfranklin.2011.07.001
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 problem of sliding mode control (SMC) of a class of Takagi-Sugeno (T-S) fuzzy descriptor system with time-delay. An integral-type sliding surface function is designed by taking the descriptor matrix into account, thus the resulting sliding mode dynamics is a full-order uncertain T-S fuzzy descriptor time-delay system. By the use of the delay partitioning technique, a delay-dependent criterion is established, which ensures the sliding mode dynamics to be regular, impulse-free and stable. Moreover, an SMC law is synthesized to guarantee the stability of the closed-loop system, and the proposed SMC law can drive the dynamics of controlled system into a designated sliding surface in finite time. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theories. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1430 / 1444
页数：15
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