Stabilization control of chaotic system based on LaSalle invariant principle

Chunchao Shi, Yanqiu Che, Jiang Wang, Xile Wei, Bin Deng, Chunxiao Han

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we propose an adaptive control scheme for the stabilization of chaotic systems, which is based on LaSalle invariant principle. The controller can asymptotically stabilize unstable fixed points of chaotic systems without explicit knowledge of the desired steady-state position. Three nonlinear chaotic systems are chosen as our examples, the well known Chua's circuit, L system and Gyro system. The simulation results demonstrate the effectiveness of the proposed control scheme.

Original languageEnglish (US)
Title of host publicationCommunication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011
Pages697-704
Number of pages8
EditionVOL. 4
DOIs
StatePublished - Dec 1 2011
Event2011 International Conference on Electric and Electronics, EEIC 2011 - Nanchang, China
Duration: Jun 20 2011Jun 22 2011

Publication series

NameLecture Notes in Electrical Engineering
NumberVOL. 4
Volume100 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Other

Other2011 International Conference on Electric and Electronics, EEIC 2011
CountryChina
CityNanchang
Period6/20/116/22/11

Fingerprint

Chaotic systems
Stabilization
Controllers
Networks (circuits)

All Science Journal Classification (ASJC) codes

  • Industrial and Manufacturing Engineering

Cite this

Shi, C., Che, Y., Wang, J., Wei, X., Deng, B., & Han, C. (2011). Stabilization control of chaotic system based on LaSalle invariant principle. In Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011 (VOL. 4 ed., pp. 697-704). (Lecture Notes in Electrical Engineering; Vol. 100 LNEE, No. VOL. 4). https://doi.org/10.1007/978-3-642-21762-3_91
Shi, Chunchao ; Che, Yanqiu ; Wang, Jiang ; Wei, Xile ; Deng, Bin ; Han, Chunxiao. / Stabilization control of chaotic system based on LaSalle invariant principle. Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011. VOL. 4. ed. 2011. pp. 697-704 (Lecture Notes in Electrical Engineering; VOL. 4).
@inproceedings{f5dc398702b7402dbfaca371a523faeb,
title = "Stabilization control of chaotic system based on LaSalle invariant principle",
abstract = "In this paper, we propose an adaptive control scheme for the stabilization of chaotic systems, which is based on LaSalle invariant principle. The controller can asymptotically stabilize unstable fixed points of chaotic systems without explicit knowledge of the desired steady-state position. Three nonlinear chaotic systems are chosen as our examples, the well known Chua's circuit, L system and Gyro system. The simulation results demonstrate the effectiveness of the proposed control scheme.",
author = "Chunchao Shi and Yanqiu Che and Jiang Wang and Xile Wei and Bin Deng and Chunxiao Han",
year = "2011",
month = "12",
day = "1",
doi = "10.1007/978-3-642-21762-3_91",
language = "English (US)",
isbn = "9783642217616",
series = "Lecture Notes in Electrical Engineering",
number = "VOL. 4",
pages = "697--704",
booktitle = "Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011",
edition = "VOL. 4",

}

Shi, C, Che, Y, Wang, J, Wei, X, Deng, B & Han, C 2011, Stabilization control of chaotic system based on LaSalle invariant principle. in Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011. VOL. 4 edn, Lecture Notes in Electrical Engineering, no. VOL. 4, vol. 100 LNEE, pp. 697-704, 2011 International Conference on Electric and Electronics, EEIC 2011, Nanchang, China, 6/20/11. https://doi.org/10.1007/978-3-642-21762-3_91

Stabilization control of chaotic system based on LaSalle invariant principle. / Shi, Chunchao; Che, Yanqiu; Wang, Jiang; Wei, Xile; Deng, Bin; Han, Chunxiao.

Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011. VOL. 4. ed. 2011. p. 697-704 (Lecture Notes in Electrical Engineering; Vol. 100 LNEE, No. VOL. 4).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Stabilization control of chaotic system based on LaSalle invariant principle

AU - Shi, Chunchao

AU - Che, Yanqiu

AU - Wang, Jiang

AU - Wei, Xile

AU - Deng, Bin

AU - Han, Chunxiao

PY - 2011/12/1

Y1 - 2011/12/1

N2 - In this paper, we propose an adaptive control scheme for the stabilization of chaotic systems, which is based on LaSalle invariant principle. The controller can asymptotically stabilize unstable fixed points of chaotic systems without explicit knowledge of the desired steady-state position. Three nonlinear chaotic systems are chosen as our examples, the well known Chua's circuit, L system and Gyro system. The simulation results demonstrate the effectiveness of the proposed control scheme.

AB - In this paper, we propose an adaptive control scheme for the stabilization of chaotic systems, which is based on LaSalle invariant principle. The controller can asymptotically stabilize unstable fixed points of chaotic systems without explicit knowledge of the desired steady-state position. Three nonlinear chaotic systems are chosen as our examples, the well known Chua's circuit, L system and Gyro system. The simulation results demonstrate the effectiveness of the proposed control scheme.

UR - http://www.scopus.com/inward/record.url?scp=84863063828&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84863063828&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-21762-3_91

DO - 10.1007/978-3-642-21762-3_91

M3 - Conference contribution

SN - 9783642217616

T3 - Lecture Notes in Electrical Engineering

SP - 697

EP - 704

BT - Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011

ER -

Shi C, Che Y, Wang J, Wei X, Deng B, Han C. Stabilization control of chaotic system based on LaSalle invariant principle. In Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011. VOL. 4 ed. 2011. p. 697-704. (Lecture Notes in Electrical Engineering; VOL. 4). https://doi.org/10.1007/978-3-642-21762-3_91