一类不确定混沌系统的驱动响应同步控制

Adaptive control of drive response synchronization for a uncertain class of chaotic systems

针对一类带有Lipschitz非线性条件的不确定混沌系统的驱动响应同步问题,通过Lyapunov稳定性分析与线性矩阵不等式处理方法,根据系统中的不确定有界信息,给出一种自适应状态反馈控制器设计方法。控制器中的反馈增益矩阵可以通过线性矩阵不等式设计而得到,该设计方法简单、易于操作。最后,通过仿真算例,验证了本文设计方法的有效性。

An adaptive feedback controller is proposed for the synchronization of driveresponse uncertain chaotic systems with Lipschitz nonlinear.In this controller,the stability of Lyapunov theory,linear matrix inequality and the information of uncertain bounded in systems are used,and the control feedback matrix gain can be obtained by using linear matrix inequality.This design is simply,and easy to work,and its effectiveness is approved through simulation.