Parameter estimation in a class of chaotic system via adaptive steady state control

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

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

Abstract

In this paper, we propose an adaptive steady state control scheme for parameter estimation of chaotic systems, which is based on the LaSalle invariant principle. By adaptive stabilizing the chaotic motion to a steady state, one can obtain the unknown parameters, assuming that independent variables and the structure of underlying dynamical evolution equations for the chaotic system are available. Two nonlinear chaotic systems, the well-known Chua's circuit and L system, are chosen as our examples. The simulation results demonstrate the effectiveness of the proposed 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
Pages705-711
Number of pages7
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
Parameter estimation
Networks (circuits)

All Science Journal Classification (ASJC) codes

  • Industrial and Manufacturing Engineering

Cite this

Shi, C., Che, Y., Han, C., Wang, J., Deng, B., & Wei, X. (2011). Parameter estimation in a class of chaotic system via adaptive steady state control. In Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011 (VOL. 4 ed., pp. 705-711). (Lecture Notes in Electrical Engineering; Vol. 100 LNEE, No. VOL. 4). https://doi.org/10.1007/978-3-642-21762-3_92
Shi, Chunchao ; Che, Yanqiu ; Han, Chunxiao ; Wang, Jiang ; Deng, Bin ; Wei, Xile. / Parameter estimation in a class of chaotic system via adaptive steady state control. Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011. VOL. 4. ed. 2011. pp. 705-711 (Lecture Notes in Electrical Engineering; VOL. 4).
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Shi, C, Che, Y, Han, C, Wang, J, Deng, B & Wei, X 2011, Parameter estimation in a class of chaotic system via adaptive steady state control. 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. 705-711, 2011 International Conference on Electric and Electronics, EEIC 2011, Nanchang, China, 6/20/11. https://doi.org/10.1007/978-3-642-21762-3_92

Parameter estimation in a class of chaotic system via adaptive steady state control. / Shi, Chunchao; Che, Yanqiu; Han, Chunxiao; Wang, Jiang; Deng, Bin; Wei, Xile.

Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011. VOL. 4. ed. 2011. p. 705-711 (Lecture Notes in Electrical Engineering; Vol. 100 LNEE, No. VOL. 4).

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

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Shi C, Che Y, Han C, Wang J, Deng B, Wei X. Parameter estimation in a class of chaotic system via adaptive steady state control. In Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011. VOL. 4 ed. 2011. p. 705-711. (Lecture Notes in Electrical Engineering; VOL. 4). https://doi.org/10.1007/978-3-642-21762-3_92