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On the fuzzy minimum entropy control to stabilize the unstable fixed points of chaotic maps

机译:关于稳定混沌映射不稳定点的模糊最小熵控制。

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摘要

This paper presents a fuzzy algorithm for controlling chaos in nonlinear systems via minimum entropy approach. The proposed fuzzy logic algorithm is used to minimize the Shannon entropy of a chaotic dynamics. The fuzzy laws are determined in such a way that the entropy function descends until the chaotic trajectory of the system is replaced by a regular one. The Logistic and the Henon maps as two discrete chaotic systems, and the Duffing equation as a continuous one are used to validate the proposed scheme and show the effectiveness of the control method in chaotic dynamical systems.
机译:本文提出了一种通过最小熵方法控制非线性系统混沌的模糊算法。所提出的模糊逻辑算法被用于使混沌动力学的香农熵最小。以这样的方式确定模糊定律,使得熵函数下降,直到系统的混沌轨迹被规则的轨迹代替为止。 Logistic和Henon映射是两个离散的混沌系统,而Duffing方程则是一个连续的混沌系统,用来验证所提出的方案,并证明了该控制方法在混沌动力学系统中的有效性。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2011年第3期|p.1016-1023|共8页
  • 作者单位

    Department of Mechanical Engineering, Sharif University of Technology, P.O. Box 11365-9567, Tehran, Iran;

    Department of Mechanical Engineering, Sharif University of Technology, P.O. Box 11365-9567, Tehran, Iran;

    Department of Mechanical Engineering, Sharif University of Technology, P.O. Box 11365-9567, Tehran, Iran;

    Department of Mechanical Engineering, Sharif University of Technology, P.O. Box 11365-9567, Tehran, Iran;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    chaos control; entropy minimization; fuzzy system;

    机译:混沌控制熵最小化模糊系统;

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