Adaptive Observer-Based Synchronization of Chaotic Systems With First-Order Coder in the Presence of Information Constraints

被引:44
作者
Fradkov, Alexander L. [1 ]
Andrievsky, Boris [1 ]
Evans, Robin J. [2 ]
机构
[1] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia
[2] Univ Melbourne, Dept Elect & Elect Engn, NICTA Victoria Res Lab, Melbourne, Vic 3010, Australia
基金
俄罗斯基础研究基金会;
关键词
Adaptive observers; channel coding; chaos; information rates;
D O I
10.1109/TCSI.2008.916410
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We analyze the performance of an adaptive chaotic synchronization system under information constraints assuming that some system parameters are unknown and only the system output is measured. Such a problem was studied previously in the absence of information constraints based on an adaptive observer scheme, allowing for its use in message transmission systems. We provide analytical bounds for the closed-loop system performance (asymptotic synchronization error) and conduct a numerical case study for a typical chaotic system, namely the Chua circuit, in the presence of information constraints. It is shown that the time-varying quantizer with one-step memory provides a reasonable approximation of the minimum transmission rate for adaptive state estimation.
引用
收藏
页码:1685 / 1694
页数:10
相关论文
共 42 条
[1]   Control of chaos: Methods and applications. I. Methods [J].
Andrievskii, BR ;
Fradkov, AL .
AUTOMATION AND REMOTE CONTROL, 2003, 64 (05) :673-713
[2]   Adaptive synchronization methods for signal transmission on chaotic carriers [J].
Andrievsky, B .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2002, 58 (4-6) :285-293
[3]  
ANDRIEVSKY B, 2007, 17 IFAC S AUT CONTR
[4]   Chaotic channel [J].
Baptista, MS ;
Kurths, J .
PHYSICAL REVIEW E, 2005, 72 (04)
[5]   The synchronization of chaotic systems [J].
Boccaletti, S ;
Kurths, J ;
Osipov, G ;
Valladares, DL ;
Zhou, CS .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101
[6]   Quantized feedback stabilization of linear systems [J].
Brockett, RW ;
Liberzon, D .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (07) :1279-1289
[7]   Secure synchronization of a class of chaotic systems from a nonlinear observer approach [J].
Celikovsky, S ;
Chen, GR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (01) :76-82
[8]  
Chen G., 1998, CHAOS ORDER PERSPECT
[9]  
Cover T. M., 2005, ELEM INF THEORY, DOI 10.1002/047174882X
[10]   CHAOS SHIFT KEYING - MODULATION AND DEMODULATION OF A CHAOTIC CARRIER USING SELF-SYNCHRONIZING CHUA CIRCUITS [J].
DEDIEU, H ;
KENNEDY, MP ;
HASLER, M .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1993, 40 (10) :634-642