Abstract
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.
| Original language | English |
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| Title of host publication | IEEE Internation Symposium on Circuits and Systems: Proceedings: May 23-26, 2005, International Conference Center, Kobe, Japan: ISCAS 2005 |
| Publisher | IEEE Computer Society |
| Number of pages | 4 |
| ISBN (Print) | 0780388348 |
| Publication status | Published - 2005 |
| Event | IEEE International Symposium on Circuits and Systems - Duration: 20 May 2012 → … |
Conference
| Conference | IEEE International Symposium on Circuits and Systems |
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| Period | 20/05/12 → … |
Keywords
- transmission disturbances
- chaos synchronization
- Lyapunov stability theory
- linear matrix inequalities
- observers
- stability