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中国物理学会期刊

基于主动滑模控制的一类混沌系统异结构反同步

CSTR: 32037.14.aps.57.4729

Anti-synchronizing different chaotic systems using active sliding mode control

CSTR: 32037.14.aps.57.4729
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  • 针对一类连续时间混沌系统,基于主动控制思想,提出了一种主动滑模控制策略,使得一类混沌系统可以达到异结构反同步,其中响应系统的线性部分和控制器参数决定闭环误差及反同步的趋近律. 基于Lyapunov稳定性理论分析了系统的稳定性. 以Lorenz系统、Chen系统和Lü系统为例进行仿真验证,该控制方法可以实现较快的混沌反同步,且反同步的鲁棒稳定性良好.

     

    An active sliding mode control is designed to anti-synchronize different chaotic systems. The closed loop error dynamics depends on the linear part of the response systems and parameters of the controller. Therefore, the anti-synchronization rate can be adjusted through these parameters. Analysis of the stability for the proposed method is done based on the Lyapunov stability theorem. Finally, numerical results are presented for the Lorenz, Chen and Lü systems. This method may realize the anti-synchronization quickly, and the robust stability is good.

     

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