Admissible Finite-Time Stability and Stabilization of Uncertain Discrete Singular Systems

被引：15
|
作者：
Xue, Wenping [1 ,2 ]
Mao, Weijie [1 ]
机构：
[1] Zhejiang Univ, Inst Cyber Syst & Control, Hangzhou 310027, Peoples R China
[2] Jiangsu Univ, Sch Elect & Informat Engn, Zhenjiang 212013, Peoples R China
来源：
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 2013年 / 135卷 / 03期
基金：
中国国家自然科学基金;
关键词：
discrete singular system; admissible finite-time stability; admissible finite-time stabilization; parametric uncertainty; linear matrix inequality; H-INFINITY CONTROL; LINEAR-SYSTEMS; STATE DELAY; ROBUST STABILITY; OUTPUT-FEEDBACK; SUBJECT;
D O I：
10.1115/1.4023213
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problems of admissible finite-time stability (AFTS) and admissible finite-time stabilization for a class of uncertain discrete singular systems are addressed in this study. The definition of AFTS is first given. Second, a sufficient condition for the AFTS of the nominal unforced system is established, which is further extended to the uncertain case. Then, a sufficient condition is proposed for the design of a state feedback controller such that the closed-loop system is admissibly finite-time stable for all admissible uncertainties. Both the AFTS and the controller design conditions are presented in terms of linear matrix inequalities (LMIs) with a fixed parameter. Finally, two numerical examples are provided to illustrate the effectiveness of the developed theory.
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页数：6
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