Delay-dependent criteria for absolute stability of uncertain time-delayed Lur'e dynamical systems

被引：35
|
作者：
Lee, S. M. [2 ]
Park, Ju H. [1 ]
机构：
[1] Yeungnam Univ, Dept Elect Engn, Robust Control & Nonlinear Dynam Lab, Kyongsan 712749, South Korea
[2] Daegu Univ, Dept Elect Engn, Gyongsan, South Korea
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2010年 / 347卷 / 01期
关键词：
Delay-dependent criteria; Time-delayed Lur'e systems; Sector and slope restrictions; LMI; SECTOR;
D O I：
10.1016/j.jfranklin.2009.08.002
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 deals with the absolute stability analysis for uncertain time-delayed Lur systems with sector and slope restricted nonlinearities. New delay-dependent stability criteria are derived via linear matrix inequality (LMI) formulation that can be easily solved by various convex optimization techniques. Sector bounds and slope bounds are employed to a Lyapunov-Krasovskii functional through convex representation of the nonlinearities so that less conservative stability conditions are obtained. A numerical example shows effectiveness of the proposed stability condition over some existing ones. (c) 2009 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：146 / 153
页数：8
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