多自由度参数振动混沌控制方法研究  

STUDY ON CHAOS CONTROL METHOD FOR PARAMETRIC VIBRATION OF MULTIPLE DEGREES OF FREEDOM SYSTEM

作　　者：黄迪山[1] 刘献之 邵何锡 Huang Dishan;Liu Xianzhi;Shao Hexi(School of Mechatronical Engineering and Automation,Shanghai University,Shanghai 200072,China)

机构地区：[1]上海大学机电工程与自动化学院,上海200072

出　　处：《动力学与控制学报》2018年第3期233-238,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金(51575330)~~

摘　　要：基于耦合倒立双摆模型,本文采用Liapunov-Floquet变换,将周期时变系统转化为时不变系统,并引入反馈和极点配置,对该多自由度系统做参数振动进行主动控制.对研究的系统结合单位脉冲响应进行了稳定性分析,并成功地应用于系统混沌控制.This article examines an inverted coupled pendulum system. By using L-F transformation principle and pole placement feedback control method,the active control for parametric vibration of multiple degrees of freedom system was achieved. The stability of the system is then illustrated by using the unit impulse response. Finally,the chaos is fully removed from the give system. The research shows that the proposed method can realize active chaos control for a parametric system.

关 键 词：多自由度 参数振动 Liapunov-Floquet变换 主动控制 混沌 

分 类 号：O231[理学—运筹学与控制论] O415.5[理学—数学]