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Control of Fractional Stochastic chaos with Fractional Sliding Mode

机译:分数滑模控制分数阶随机混沌

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In this paper, a Fractional Sliding Mode Control strategy is introduced to realize the control of fractional stochastic chaotic system. Besides modeling stochastic chaos by an Ito stochastic differential form, fractional-order of this chaos system is studied. Based on the Lyapunov stability theory, the stability of the closed-loop system is guaranteed. The Chaos control is also obtained between two fractional-order stochastic and deterministic systems in two cases: 1) A control task; to behave period doubling form, 2) Synchronization job; both in different order. This is the first research to apply the proposed sliding mode controller to control of this type system. The simulation results and the lyapunov exponents demonstrate the feasibility of the proposed control method.
机译:本文提出了分数滑模控制策略,以实现分数阶随机混沌系统的控制。除了通过伊藤随机微分形式对随机混沌建模外,还研究了该混沌系统的分数阶。基于李雅普诺夫稳定性理论,可以保证闭环系统的稳定性。在两种情况下,还可以在两个分数阶随机和确定性系统之间获得混沌控制:1)控制任务;表现出周期加倍的形式; 2)同步工作;两者的顺序不同。这是将拟议的滑模控制器应用于此类系统控制的第一项研究。仿真结果和lyapunov指数证明了该控制方法的可行性。

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