A robust observer design for chaos synchronization of uncertain systems using LMI criterion

International Journal of Physical Sciences

Xiaojue Ma¹ 

关键词: Chaos synchronization;    the observer method;    Lyapunov theory;    linear matrix inequality (LMI);    PACC: 0545.;   

DOI  :  

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

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 usingthe MATLAB LMI Toolbox,the observer gainLis derived, which can not only make the outputs of both master and slave systems reachH∞synchronization with the passage of time but alsoreduce 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.

【 授权许可】

CC BY