Abstract
This Letter presents an adaptive approach for synchronization of Takagi-Sugeno (T-S) fuzzy chaotic systems. Since the parameters of chaotic system are assumed unknown, the adaptive law is derived to estimate the unknown parameters and its stability is guaranteed by Lyapunov stability theory. The control law to be designed consists of two parts: one part that can stabilize the synchronization error dynamics and the other part that estimates the unknown parameters. Numerical examples are given to demonstrate the validity of the proposed adaptive synchronization approach.
| Original language | English |
|---|---|
| Pages (from-to) | 295-305 |
| Number of pages | 11 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 334 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2005 Jan 17 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cite this
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Fuzzy adaptive synchronization of uncertain chaotic systems. / Kim, Jae Hun; Park, Chang Woo; Kim, Euntai; Park, Mignon.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 334, No. 4, 17.01.2005, p. 295-305.Research output: Contribution to journal › Article
TY - JOUR
T1 - Fuzzy adaptive synchronization of uncertain chaotic systems
AU - Kim, Jae Hun
AU - Park, Chang Woo
AU - Kim, Euntai
AU - Park, Mignon
PY - 2005/1/17
Y1 - 2005/1/17
N2 - This Letter presents an adaptive approach for synchronization of Takagi-Sugeno (T-S) fuzzy chaotic systems. Since the parameters of chaotic system are assumed unknown, the adaptive law is derived to estimate the unknown parameters and its stability is guaranteed by Lyapunov stability theory. The control law to be designed consists of two parts: one part that can stabilize the synchronization error dynamics and the other part that estimates the unknown parameters. Numerical examples are given to demonstrate the validity of the proposed adaptive synchronization approach.
AB - This Letter presents an adaptive approach for synchronization of Takagi-Sugeno (T-S) fuzzy chaotic systems. Since the parameters of chaotic system are assumed unknown, the adaptive law is derived to estimate the unknown parameters and its stability is guaranteed by Lyapunov stability theory. The control law to be designed consists of two parts: one part that can stabilize the synchronization error dynamics and the other part that estimates the unknown parameters. Numerical examples are given to demonstrate the validity of the proposed adaptive synchronization approach.
UR - http://www.scopus.com/inward/record.url?scp=11144257137&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=11144257137&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2004.11.033
DO - 10.1016/j.physleta.2004.11.033
M3 - Article
AN - SCOPUS:11144257137
VL - 334
SP - 295
EP - 305
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 4
ER -