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离散非线性动力系统的倍周期分叉控制

欧阳克俭 唐驾时

噪声与振动控制Issue(3):57-60,4.
噪声与振动控制Issue(3):57-60,4.DOI:10.3969/j.issn.1006-1335.2014.03.012

离散非线性动力系统的倍周期分叉控制

Period-doubling Bifurcation Control of Discrete Nonlinear Dynamic System

欧阳克俭 1唐驾时2

作者信息

  • 1. 国网湖南省电力公司 电力科学研究院,长沙 410007
  • 2. 湖南大学 工程力学系,长沙 410002
  • 折叠

摘要

Abstract

This paper studies the control of period-doubling bifurcation of discrete nonlinear system, designs of linear controller and nonlinear controller, and state feedback control method to control nonlinear dynamical systems. The bifurcation diagrams before and after the control are obtained, so that the desired bifurcation control purposes of the system can be achieved. According to the purpose of actual application, different controllers can be designed. The linear controller and non-linear controller consist of two portions of rough tuning and fine tuning, so that bifurcation of the system can be controlled effectively. Selecting appropriate controller and effective control parameters, the state feedback can yield good results for the bifurcation control.

关键词

振动与波/倍周期分叉/分叉控制/状态反馈控制/分叉图

Key words

vibration and wave/period-doubling bifurcation/bifurcation control/state feedback control/bifurcation diagram

分类

数理科学

引用本文复制引用

欧阳克俭,唐驾时..离散非线性动力系统的倍周期分叉控制[J].噪声与振动控制,2014,(3):57-60,4.

基金项目

国家自然科学基金资助无限维非线性系统的分岔控制 ()

噪声与振动控制

OACSCDCSTPCD

1006-1355

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