混沌同步控制策略构造方法研究

左兆伦,俞翔

振动与冲击 ›› 2020, Vol. 39 ›› Issue (13) : 170-175.

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PDF(913 KB)
振动与冲击 ›› 2020, Vol. 39 ›› Issue (13) : 170-175.
论文

混沌同步控制策略构造方法研究

  • 左兆伦,俞翔
作者信息 +

Construction method for chaos synchronization control strategy

  • ZUO Zhaolun, YU Xiang
Author information +
文章历史 +

摘要

水下辐射噪声中的低频线谱是影响潜艇声隐身性能的主要因素,线谱混沌化控制技术通过处于混沌状态的非线性隔振系统将低频线谱转换为宽频混沌谱,可以实现频谱重构并降低线谱强度。前期研究表明,利用广义混沌同步方法可以实现变工况下隔振系统的持续混沌化,在某些情况下还能显著减小振幅,为线谱混沌化控制理论提供了新思路。然而,目前要利用广义混沌同步产生小振幅的持续混沌运动,只能通过“试错”来选择合适的混沌同步控制策略,还没有形成系统的方法。为此,提出了一种混沌同步控制策略构造方法。结合耦合Duffing隔振系统对该构造方法进行验证和说明,并将该方法应用于两自由度非线性隔振系统。

Abstract

Low-frequency line spectra in underwater radiated noise are the main factor affecting submarine acoustic stealth performance. The line spectra chaotic control technique is to convert low frequency line spectra into wide frequency chaotic spectra with a nonlinear vibration isolation system (VIS), realize spectra reconstruction and reduce line spectra intensity. Previous studies show that the generalized chaos synchronization method can be used to realize continuous chaos of a VIS under variable operation conditions, and in some cases, chaos amplitude can be significantly reduced to provide a new idea for the line spectra chaotic control theory. However, at present, in order to generate continuous chaos motion with small amplitude utilizing the generalized chaos synchronization method, the "trial and error" method is the only way to choose the appropriate chaos synchronization control strategy. Consequently, there is not a systematic method. Here, a construction method for the appropriate chaos synchronization control strategy was proposed. This method was verified and illustrated using a coupled Duffing VIS, and applied in a two-DOF nonlinear VIS.

关键词

线谱抑制 / 广义混沌同步 / 控制策略 / 中心流形 / 隔振系统(VIS)

Key words

line spectra suppressing / generalized chaos synchronization / control strategy / central manifold / vibration isolation system (VIS)

引用本文

导出引用
左兆伦,俞翔. 混沌同步控制策略构造方法研究[J]. 振动与冲击, 2020, 39(13): 170-175
ZUO Zhaolun, YU Xiang. Construction method for chaos synchronization control strategy[J]. Journal of Vibration and Shock, 2020, 39(13): 170-175

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