ROBUST STABILITY TEST FOR UNCERTAIN DISCRETE-TIME SYSTEMS: A DESCRIPTOR SYSTEM APPROACH

被引：0
|
作者：
Zhang, W. [2 ,3 ]
Su, H. [1 ]
Liang, Y. [2 ]
Han, Z. [3 ]
机构：
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
[2] Shanghai Univ Engn Sci, Engn Training Ctr, Shanghai 201620, Peoples R China
[3] Shanghai Jiao Tong Univ, Sch Elect Informat & Elect Engn, Shanghai 200240, Peoples R China
来源：
LATIN AMERICAN APPLIED RESEARCH | 2011年 / 41卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Discrete-time systems; robust stability; parameter-dependent Lyapunov functions; descriptor system approach; DEPENDENT LYAPUNOV FUNCTIONS; VARYING DELAY; LMI CONDITION; CRITERIA;
D O I：
暂无
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
This paper presents a new and less conservative condition for the robust stability test of discrete-time polytopic systems by using a descriptor system approach. The stability condition is formulated in terms of a set of linear matrix inequalities and can be easily adapted for robust controller synthesis. The developed results can be viewed as a discrete-time counterpart of the continuous-time one proposed by Cao and Lin (2004). This also enables us to offer a unified framework, namely the so-called descriptor system approach, for the analysis and synthesis of both discrete-time and continuous-time uncertain linear systems. Simulation examples are given to illustrate the theoretical results we established.
引用
收藏
页码：359 / 364
页数：6
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