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Adaptive Hybrid Function Projective Synchronization of Chaotic Systems with Time-Varying Parameters

机译:时变参数混沌系统的自适应混合函数投影同步

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摘要

The adaptive hybrid function projective synchronization (AHFPS) of different chaotic systems with unknown time-varying parameters is investigated. Based on the Lyapunov stability theory and adaptive bounding technique, the robust adaptive control law and the parameters update law are derived to make the states of two different chaotic systems asymptotically synchronized. In the control strategy, the parameters need not be known throughly if the time-varying parameters are bounded by the product of a known function of t and an unknown constant. In order to avoid the switching in the control signal, a modified robust adaptive synchronization approach with the leakage-like adaptation law is also proposed to guarantee the ultimately uni-formly boundedness (UUB) of synchronization errors. The schemes are successfully applied to the hybrid function projective synchronization between the Chen system and the Lorenz system and between hyperchaotic Chen system and generalized Lorenz system. Moreover, numerical simulation results are presented to verify the effectiveness of the proposed scheme.
机译:研究了具有未知时变参数的不同混沌系统的自适应混合函数投影同步(AHFPS)。基于Lyapunov稳定性理论和自适应约束技术,推导了鲁棒的自适应控制律和参数更新律,使两个不同混沌系统的状态渐近同步。在控制策略中,如果时变参数受已知的t函数和未知常数的乘积限制,则不需要完全知道参数。为了避免控制信号的切换,还提出了一种改进的鲁棒的自适应同步方法,该方法具有类似泄漏的自适应定律,以保证同步误差的最终统一边界(UUB)。该方案已成功地应用于Chen系统与Lorenz系统之间以及超混沌Chen系统与广义Lorenz系统之间的混合函数投影同步。此外,数值仿真结果表明了该方案的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第5期|p.22.1-22.18|共18页
  • 作者

    Jinsheng Xing;

  • 作者单位

    School of Mathematics and Computer Science, Shanxi Normal University, Shanxi, Linfen 041004, China;

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  • 正文语种 eng
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