一种针对未知参数系统的实时混沌化方法

周加喜;徐道临;张月英;刘春嵘

振动与冲击 ›› 2013, Vol. 32 ›› Issue (4) : 71-74.

PDF(2222 KB)
PDF(2222 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (4) : 71-74.
论文

一种针对未知参数系统的实时混沌化方法

  • 周加喜,徐道临,张月英,刘春嵘
作者信息 +

A real-time chaotification method for dynamic systems with unknown parameters

  • ZHOU Jia-xi, XU Dao-lin, ZHANG Yue-ying, LIU Chun-rong
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摘要

针对未知参数系统,本文提出一种基于频谱优化和时延反馈控制的实时混沌化方法。首先,基于系统稳态响应构造频谱性能指标,量化系统稳态行为(周期或混沌等);然后,随着时间进程的推进,按照直接寻优算法(Hooke-Jeeves 方法)实时调整反馈控制器的时延,直至算法收敛。当性能指标达到最小值时,系统进入最佳混沌状态。数值算例验证了本方法的有效性。本方法最大优点在于无需知道系统参数,仅基于系统响应状态便可实施混沌化控制,易于实现工程化应用。

Abstract

In this paper, a chaotification method based on spectrum optimization in conjunction with time-delay feedback control is proposed to drive a system with unknown parameters be chaotic. A performance index is constructed to quantify the spectrum characteristic of the steady state behavior of the system. In the process of chaotification, the time delay of the time-delay feedback controller is optimally adjusted by using the Hooke-Jeeves method, until the termination criteria are satisfied. When the performance index reaches to a minimum, the system tends to the best chaotic state. Numerical simulations verify the feasibility of this chaotification method. The advantage of this method is that only the steady state response is required in a process of chaotification without knowing the system’s parameters, which makes this method easy to be applied in practical engineering.

关键词

混沌化 / 时延反馈 / 频谱优化 / 未知参数系统

Key words

Chaotification / Time-delay feedback / Spectrum optimization / Unknown parameters system

引用本文

导出引用
周加喜;徐道临;张月英;刘春嵘. 一种针对未知参数系统的实时混沌化方法[J]. 振动与冲击, 2013, 32(4): 71-74
ZHOU Jia-xi;XU Dao-lin;ZHANG Yue-ying;LIU Chun-rong. A real-time chaotification method for dynamic systems with unknown parameters [J]. Journal of Vibration and Shock, 2013, 32(4): 71-74

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