基于线性状态反馈方法的混沌同步LMI判据

2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508) Pub Date : 2004-09-02 DOI:10.1109/CACSD.2004.1393904

Guoping Jiang, W. Zheng

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引用次数: 2

摘要

基于控制论中的李雅普诺夫稳定性理论，提出了一类混沌系统采用线性状态反馈方法进行混沌同步的一个新的充分条件。利用舒尔定理和一些矩阵技术，将该判据转化为线性矩阵不等式(LMI)形式，利用MATLAB LMI工具箱可以方便地验证和求解。结果表明，在该准则下混沌同步可以以指数收敛速度实现。通过混沌Murali-Lakshmanan-Chua电路验证了该准则的有效性

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An LMI criterion for chaos synchronization via the linear-state-feedback approach

Based on the Lyapunov stability theory in control theory, a new sufficient condition is proposed in this paper for chaos synchronization by the linear-state-feedback approach for a class of chaotic systems. By using Schur theorem and some matrix technique, this criterion is then transformed into the linear matrix inequality (LMI) form, which can be easily verified and resolved using the MATLAB LMI Toolbox. It is shown that under the proposed criterion chaos synchronization can be achieved at an exponential convergence rate. The effectiveness of the criterion proposed herein is verified and demonstrated by the chaotic Murali-Lakshmanan-Chua circuit

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2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)

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