Control of Neimark-Sacker bifurcation for a three-degree-of-freedom vibro-impact system with clearances

被引：2

作者：

Xu, Huidong ^{[1
]}

Zhang, Jianwen ^{[2
]}

Wu, Xin ^{[3
]}

机构：

[1] Taiyuan Univ Technol, Coll Mech & Vehicle Engn, Taiyuan 030024, Shanxi, Peoples R China

[2] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Shanxi, Peoples R China

[3] Hunan Inst Engn, Coll Mech Engn, Xiangtan 411104, Hunan, Peoples R China

来源：

MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2022年 / 177卷

基金：

中国国家自然科学基金;

关键词：

Bifurcation control; Neimark-Sacker bifurcation; Vibro-impact system; Impulsive state feedback control; STATE-FEEDBACK CONTROL; LOCAL BIFURCATION; HOPF-BIFURCATION; DISCRETE-TIME; SYNCHRONIZATION; NETWORKS; MODEL;

D O I：

10.1016/j.ymssp.2022.109188

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper designs an impulsive state feedback control for a three-degree-of-freedom vibroimpact system with clearances to create a stable Neimark-Sacker bifurcation. The linear control gains of the feedback control are determined by using the explicit criteria of Neimark-Sacker bifurcation without directly using eigenvalues, which are designed to guarantee the existence of Neimark-Sacker bifurcation. The non-linear control gains are determined by using center manifold reduction theory and normal form approach, which are selected to govern the direction and stability of Neimark-Sacker bifurcation. The amplitude of the created invariant cycle from the Neimark-Sacker bifurcation is analytically obtained to achieve the control of the amplitude by selecting appropriate non-linear control gains. Numerical experiments are provided to show the effectiveness of the proposed control method.

引用

页数：14

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