Integral observer approach for chaos synchronization with transmission disturbances

The 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 this setting. By using the Schur theorem and some matrix operation techniques, this criterion is then transformed into a linear matrix inequality (LMI) form, which can be easily verified and solved 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 suggested criterion.