TY - JOUR
T1 - Integral observer approach for chaos synchronizationn with transmission disturbances
AU - Jiang, Guo Ping
AU - Zheng, Wei Xing
AU - Tang, Wallace Kit Sang
AU - Chen, Guanrong
PY - 2005
Y1 - 2005
N2 - This paper addresses the issue of chaos synchronization with disturbances in the transmission channel. Using an integral observer approach, a new scheme for chaos synchronization is developed for a class of chaotic systems. Based on the Lyapunov stability theory, a sufficient condition is derived for chaos synchronization in the aforementioned setting. By using the Schur theorem and some matrix operation techniques, this criterion is then transformed into a Linear Matrix Inequality form, which can be easily verified and solved by using the MATLAB LMI Toolbox. It is then shown that under the proposed scheme and derived criterion, the effect of the transmission disturbances can be greatly reduced, and consequently chaos synchronization is achieved satisfactorily. The chaotic Murali-Lakshmanan-Chua system is simulated to verify the effectiveness of the scheme and to validate the criterion suggested in this paper.
AB - This paper addresses the issue of chaos synchronization with disturbances in the transmission channel. Using an integral observer approach, a new scheme for chaos synchronization is developed for a class of chaotic systems. Based on the Lyapunov stability theory, a sufficient condition is derived for chaos synchronization in the aforementioned setting. By using the Schur theorem and some matrix operation techniques, this criterion is then transformed into a Linear Matrix Inequality form, which can be easily verified and solved by using the MATLAB LMI Toolbox. It is then shown that under the proposed scheme and derived criterion, the effect of the transmission disturbances can be greatly reduced, and consequently chaos synchronization is achieved satisfactorily. The chaotic Murali-Lakshmanan-Chua system is simulated to verify the effectiveness of the scheme and to validate the criterion suggested in this paper.
UR - http://www.scopus.com/inward/record.url?scp=67649126610&partnerID=8YFLogxK
U2 - 10.1109/ISCAS.2005.1466016
DO - 10.1109/ISCAS.2005.1466016
M3 - Conference article
AN - SCOPUS:67649126610
SN - 0271-4310
SP - 6038
EP - 6041
JO - Proceedings - IEEE International Symposium on Circuits and Systems
JF - Proceedings - IEEE International Symposium on Circuits and Systems
M1 - 1466016
T2 - IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005
Y2 - 23 May 2005 through 26 May 2005
ER -