Abstract

In this paper, considering the effect of exoteric perturbation on system’s parameters, a robust observer, based on Lyapunov theory, is designed for the output synchronization of a class of uncertain systems when the full state vector is not available. With the help of LMI criterion and then using the MATLAB LMI Toolbox, the observer gain L is derived, which can not only make the outputs of both master and slave systems reach H_∞ synchronization with the passage of time but also reduce the influence of the disturbance within a prescribed level. In the end, we take the perturbed Chua’s circuit as an example to illustrate that the proposed method is effective and quite robust against the effect of exoteric perturbation.

Key words: Chaos synchronization, the observer method, Lyapunov theory, linear matrix inequality (LMI), PACC: 0545.