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 - 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

All Science Journal Classification (ASJC) codes

  • Industrial and Manufacturing Engineering

Fingerprint Dive into the research topics of 'Stabilization control of chaotic system based on LaSalle invariant principle'. Together they form a unique fingerprint.

  • 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