Feedback Control of Grazing-Induced Chaos in the Single-Degree-of-Freedom Impact Oscillator-Reference-Cited by-同舟云学术

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

Published:2017-10-31 Issue:1 Volume:13 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Shen Yongkang¹,Yin Shan¹,Wen Guilin²,Xu Huidong³

Affiliation:

1. State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan 410082, China

2. State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan 410082, China e-mail:

3. College of Mechanics, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China

Abstract

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.

Funder

National Natural Science Foundation of China

Science Fund for Creative Research Groups

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4037924/6110915/cnd_013_01_011012.pdf

Reference31 articles.

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2. Hopf–Hopf Bifurcation and Invariant Torus of a Vibro-Impact System;Int. J. Non Linear Mech.,2005