Guaranteed cost control of time-delay chaotic systems

被引：48
作者：
Park, JH [1 ]
Kwon, OM
机构：
[1] Yeungnam Univ, Dept Elect Engn, Robust Control & Nonlinear Dynam Lab, Kyongsan 712749, South Korea
[2] Samsung Heavy Ind Co Ltd, Mechatron Ctr, Dept Intelligent Control Res, Taejon, South Korea
来源：
CHAOS SOLITONS & FRACTALS | 2006年 / 27卷 / 04期
关键词：
D O I：
10.1016/j.chaos.2005.04.076
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article studies a guaranteed cost control problem for a class of time-delay chaotic systems. Attention is focused on the design of memory state feedback controllers such that the resulting closed-loop system is asymptotically stable and an adequate level of performance is also guaranteed. Using the Lyapunov method and LMI (linear matrix inequality) framework, two criteria for the existence of the controller are derived in terms of LMIs. A numerical example is given to illustrate the proposed method. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1011 / 1018
页数：8
相关论文
共 17 条
[1]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[2]   ADAPTIVE GUARANTEED COST CONTROL OF SYSTEMS WITH UNCERTAIN PARAMETERS [J].
CHANG, SSL ;
PENG, TKC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1972, AC17 (04) :474-&
[3]   On time-delayed feedback control of chaotic systems [J].
Chen, GR ;
Yu, XH .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (06) :767-772
[4]  
Gahinet P., 1995, LMI Control Toolbox
[5]   An integral inequality in the stability problem of time-delay systems [J].
Gu, KQ .
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810
[6]   Time-delayed feedback control of time-delay chaotic systems [J].
Guan, XP ;
Chen, CL ;
Peng, HP ;
Fan, ZP .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (01) :193-205
[7]  
Hale J.K., 1993, Introduction to Functional Differential Equations, DOI DOI 10.1007/978-1-4612-4342-7
[8]   Chaotic behavior in first-order autonomous continuous-time systems with delay [J].
Lu, HT ;
He, ZY .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1996, 43 (08) :700-702
[9]   OSCILLATION AND CHAOS IN PHYSIOLOGICAL CONTROL-SYSTEMS [J].
MACKEY, MC ;
GLASS, L .
SCIENCE, 1977, 197 (4300) :287-288
[10]   CONTROLLING CHAOS [J].
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199
12