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中国物理学会期刊

基于滑模控制实现分数阶混沌系统的投影同步

CSTR: 32037.14.aps.58.3747

Projective synchronization of fractional-order chaotic systems based on sliding mode control

CSTR: 32037.14.aps.58.3747
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  • 针对分数阶混沌系统的投影同步问题,提出了一种基于主动滑模原理的控制器.基于分数阶线性系统的稳定性理论,分析了该方法的稳定性.分别以同结构分数阶Liu-Liu系统的投影同步和异结构分数阶Chen-Liu系统的投影同步为例进行了数值仿真,仿真结果验证了主动滑模控制方法在分数阶混沌系统投影同步中的有效性.

     

    For the projective synchronization of fractional-order chaotic systems,a controller based on active sliding mode theory is presented. Based on the stability theory of fractional-order linear system,stability of the proposed method is analysed. Two cases of projective synchronization,i.e.identical fractional-order Liu-Liu systems and different fractional-order Chen-Liu systems,are implemented separately. The simulation results show the effectiveness of the proposed controller.

     

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