分数阶Rossler混沌系统的模糊同步控制

Fuzzy Synchronization Control of Fractional-order Rossler Chaotic Systems

  • 摘要: 采用分数阶T-S模糊模型对分数阶Rossler混沌系统建模.使用并行分布式补偿方法设计模糊状态反馈控制器,使得闭环系统极点位于稳定区域内,从而保证闭环系统满足渐近稳定性条件.利用所设计的模糊状态反馈同步控制器实现了两个具有不同初始条件的分数阶Rossler混沌系统的同步.数值仿真结果表明该方案的有效性.

     

    Abstract: The fractional-order Rossler chaotic systems are modeled using fractional-order T-S fuzzy model.The parallel distributed compensation method is used to design the fuzzy state feedback controller to enable poles of the closed loop systems to be placed inside the stability zone,thus satisfying the asymptotical stability requirements of the closed loop systems.Synchronization of two fractional-order Rossler chaotic systems with different initial states is achieved by the designed fuzzy state feedback synchronization controller.The effectiveness of the proposed scheme is demonstrated with numerical simulation results.

     

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