ROBUST FINITE-TIME STABILITY AND STABILIZATION OF LINEAR UNCERTAIN TIME-DELAY SYSTEMS

被引：25
|
作者：
Stojanovic, Sreten B. [1 ]
Debeljkovic, Dragutin Lj. [2 ]
Antic, Dragan S. [3 ]
机构：
[1] Univ Nis, Fac Technol, Dept Math & Engn Sci, Leskovac 16000, Serbia
[2] Univ Belgrade, Fac Mech Engn, Dept Control Engn, Belgrade 11120, Serbia
[3] Univ Nis, Fac Elect Engn, Dept Control Engn, Nish 18000, Serbia
来源：
ASIAN JOURNAL OF CONTROL | 2013年 / 15卷 / 05期
关键词：
Uncertain systems; time-delay; LMIs; finite-time stability; finite-time stabilization; cone complementarity linearization algorithm; BOUNDEDNESS ANALYSIS; PRACTICAL STABILITY; NEURAL-NETWORKS;
D O I：
10.1002/asjc.689
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Robust finite-time stability and stabilization problems for a class of linear uncertain time-delay systems are studied. The concept of finite-time stability is extended to linear uncertain time-delay systems. Based on the Lyapunov method and properties of matrix inequalities, a sufficient condition that ensures finite-time stability of linear uncertain time-delay systems is given. By virtue of the results on finite-time stability, a memoryless state feedback controller that guarantees that the closed-loop system is finite time stable, is proposed. The controller design problem is solved by using the linear matrix inequalities and the cone complementarity linearization iterative algorithm. Numerical examples verify the efficiency of the proposed methods.
引用
收藏
页码：1548 / 1554
页数：7
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