主动控制和状态反馈控制相结合的超混沌系统同步

摘要

The synchronization and anti-synchronization of hyperchaotic systems was investigated in this paper.Based on Lyapunov theory,the active static state feedback controller is presented to guarantee the asymptotic stability.The error feedback gain matrix can be obtained by the iterative linear matrix inequali-ty(ILMI).Finally,the effectiveness of the proposed controller is verified and demonstrated by the syn-chronization of the hyperchaotic Lorenz systems and the anti-synchronization of Chen systems.%针对超混沌系统的同步和反同步问题进行研究。基于李雅普诺夫理论，设计一个主动控制和静态状态反馈控制相结合的控制器，保证两个系统达到同步或者反同步。反馈的增益矩阵采用一种相对于LMI方法具有较好可解性的迭代线性矩阵不等式（ ILMI）算法获取。最后，通过对超混沌Chen系统的同步和Lorenz系统反同步的Matlab仿真，验证了该控制器的有效性。