Synchronising chaotic Chua＇s circuit using switching feedback control based on piecewise quadratic Lyapunov functions
Synchronising chaotic Chua＇s circuit using switching feedback control based on piecewise quadratic Lyapunov functions
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DOI：
10.1088/1674-1056/19/3/030505
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发表时间：
2010-03
影响因子：
1.7
通讯作者：
Hong-Bin Zhang;Jianwei Xia;Yongbin Yu;Chuang-Yin Dang
中科院分区：
文献类型：
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作者：
Hong-Bin Zhang;Jianwei Xia;Yongbin Yu;Chuang-Yin Dang
研究了两个耦合混沌蔡氏电路的混沌同步问题。基于分段二次型李雅普诺夫函数，得到了系统全局渐近同步的线性矩阵不等式（LMI）充分条件。首先，我们得到的分段线性微分包含（PLDI）模型的同步误差的动态，然后我们设计了一个开关（分段线性）反馈控制律，以稳定它的分段二次型的Layplane函数的基础上。最后，我们给出了一些数值模拟来证明我们的理论结果的有效性。
This paper investigates the chaos synchronisation between two coupled chaotic Chua's circuits. The sufficient condition presented by linear matrix inequalities (LMIs) of global asymptotic synchronisation is attained based on piecewise quadratic Lyapunov functions. First, we obtain the piecewise linear differential inclusions (pwLDIs) model of synchronisation error dynamics, then we design a switching (piecewise-linear) feedback control law to stabilise it based on the piecewise quadratic Laypunov functions. Then we give some numerical simulations to demonstrate the effectiveness of our theoretical results.