Feedback Control of Grazing-Induced Chaos in the Single-Degree-of-Freedom Impact Oscillator

被引：7
|
作者：
Shen, Yongkang [1 ]
Yin, Shan [1 ]
Wen, Guilin [1 ]
Xu, Huidong [2 ]
机构：
[1] Hunan Univ, Coll Mech & Vehicle Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China
[2] Taiyuan Univ Technol, Coll Mech, Taiyuan 030024, Shanxi, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2018年 / 13卷 / 01期
基金：
中国国家自然科学基金;
关键词：
grazing-induced chaos; degenerate grazing bifurcation; discontinuity mapping; feedback control; TORUS T-2; BIFURCATIONS; DYNAMICS; MOTION; TRANSITION;
D O I：
10.1115/1.4037924
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Based on the special dynamical property of continuous transition at certain degenerate grazing points in the single-degree-of-freedom impact oscillator, the control problem of the grazing-induced chaos is investigated in this paper. To design degenerate grazing bifurcations, we show how to obtain the degenerate grazing points of the 1/n impact periodic motions by the existence and stability analysis first. Then, a discrete-in-time feedback control strategy is used to suppress the grazing-induced chaos into the 1/n impact periodic motions precisely by the desired degenerate grazing bifurcation. The feasibility of the control strategy is verified by numerical simulations.
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收藏
页数：9
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