Chaos synchronization for master slave piecewise linear systems: Application to Chua's circuit
Chaos synchronization for master slave piecewise linear systems: Application to Chua's circuit
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DOI：
10.1016/j.cnsns.2011.07.027
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发表时间：
2012-03
影响因子：
3.9
通讯作者：
H. Mkaouar;O. Boubaker
中科院分区：
文献类型：
--
作者：
H. Mkaouar;O. Boubaker
研究了主从分段线性系统的混沌同步问题。将同步问题表述为误差同步动力学的全局稳定性问题。利用李亚普诺夫方法和所谓的s -过程提供了新的充分条件。我们证明了同步问题可以作为一组线性矩阵不等式（LMI）的优化问题来解决，并有效地设计了状态反馈控制器。利用蔡氏电路模型的仿真结果验证了所提方案的有效性。进一步证明，新的充分条件放宽了原有工作的保守性。
This paper deals with chaos synchronization for master slave piecewise linear systems. The synchronization problem is formulated as a global stability problem of error synchronization dynamics. New sufficient conditions are provided using a Lyapunov approach and the so-called S-procedure. We show that the synchronization problem can be solved as an optimization problem subject to a set of Linear Matrix Inequalities (LMI) for which a state feedback controller is designed efficiently. The effectiveness of the proposed solution is verified via simulation results using the original Chua’s circuit model. Furthermore, it will be proven that the new sufficient conditions relaxed the conservatism of previous existing works.