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 language | English (US) |
|---|---|
| Title of host publication | Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011 |
| Pages | 705-711 |
| Number of pages | 7 |
| Edition | VOL. 4 |
| DOIs | |
| State | Published - Dec 1 2011 |
| Event | 2011 International Conference on Electric and Electronics, EEIC 2011 - Nanchang, China Duration: Jun 20 2011 → Jun 22 2011 |
Publication series
| Name | Lecture Notes in Electrical Engineering |
|---|---|
| Number | VOL. 4 |
| Volume | 100 LNEE |
| ISSN (Print) | 1876-1100 |
| ISSN (Electronic) | 1876-1119 |
Other
| Other | 2011 International Conference on Electric and Electronics, EEIC 2011 |
|---|---|
| Country | China |
| City | Nanchang |
| Period | 6/20/11 → 6/22/11 |
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All Science Journal Classification (ASJC) codes
- Industrial and Manufacturing Engineering
Cite this
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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 proceeding › Conference contribution
TY - GEN
T1 - Parameter estimation in a class of chaotic system via adaptive steady state control
AU - Shi, Chunchao
AU - Che, Yanqiu
AU - Han, Chunxiao
AU - Wang, Jiang
AU - Deng, Bin
AU - Wei, Xile
PY - 2011/12/1
Y1 - 2011/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84863051503&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84863051503&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-21762-3_92
DO - 10.1007/978-3-642-21762-3_92
M3 - Conference contribution
AN - SCOPUS:84863051503
SN - 9783642217616
T3 - Lecture Notes in Electrical Engineering
SP - 705
EP - 711
BT - Communication Systems and Information Technology - Selected Papers from the 2011 International Conference on Electric and Electronics, EEIC 2011
ER -