Guaranteed cost control of time-delay chaotic systems via memoryless state feedback

被引:20
作者
Chen, Bing
Liu, Xiaoping [1 ]
Tong, Shaocheng
机构
[1] Qingdao Univ, Inst Complex Sci, Qingdao 266071, Peoples R China
[2] Lakehead Univ, Dept Elect Engn, Thunder Bay, ON P7B 5E1, Canada
[3] Liaoning Inst Technol, Dept Basic Math, Jinzhou 121000, Peoples R China
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1016/j.chaos.2006.05.009
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper studies the problem of guaranteed cost control for a class of time-delay chaotic systems via memoryless state feedback. A design procedure is proposed to construct a memoryless state feedback controller, which guarantees that the resulting closed-loop system is asymptotically stable and achieves an adequate level of performance. A numerical example is provided to demonstrate the effectiveness of the proposed method. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1683 / 1688
页数:6
相关论文
共 16 条
[1]   Recovery of the time-evolution equation of time-delay systems from time series [J].
Bunner, MJ ;
Meyer, T ;
Kittel, A ;
Parisi, J .
PHYSICAL REVIEW E, 1997, 56 (05) :5083-5089
[2]   ON FEEDBACK-CONTROL OF CHAOTIC CONTINUOUS-TIME SYSTEMS [J].
CHEN, GR ;
DONG, XN .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (09) :591-601
[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]   An adaptive feedback control of linearizable chaotic systems [J].
Feki, M .
CHAOS SOLITONS & FRACTALS, 2003, 15 (05) :883-890
[5]   CONTROLLING CHAOS USING DIFFERENTIAL GEOMETRIC-METHOD [J].
FUH, CC ;
TUNG, PC .
PHYSICAL REVIEW LETTERS, 1995, 75 (16) :2952-2955
[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]   Learning control of time-delay chaotic systems and its applications [J].
Konishi, K ;
Kokame, H .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (12) :2457-2465
[8]   OSCILLATION AND CHAOS IN PHYSIOLOGICAL CONTROL-SYSTEMS [J].
MACKEY, MC ;
GLASS, L .
SCIENCE, 1977, 197 (4300) :287-288
[9]   CONTROLLING CHAOS [J].
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199
[10]   Guaranteed cost control of time-delay chaotic systems [J].
Park, JH ;
Kwon, OM .
CHAOS SOLITONS & FRACTALS, 2006, 27 (04) :1011-1018