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Journal of Control Science and Engineering
Volume 2013, Article ID 570137, 8 pages
http://dx.doi.org/10.1155/2013/570137
Research Article

External Periodic Force Control of a Single-Degree-of-Freedom Vibroimpact System

1School of Automobile and Transportation, ShenYang Ligong University, Shenyang 110159, China
2Shenyang Aerospace University, Shenyang 110136, China

Received 16 July 2013; Accepted 11 October 2013

Academic Editor: Zoltan Szabo

Copyright © 2013 Jingyue Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A single-degree-of-freedom mechanical model of vibro-impact system is established. Bifurcation and chaos in the system are revealed with the time history diagram, phase trajectory map, and Poincaré map. According to the bifurcation and chaos of the actual vibro-impact system, the paper puts forward external periodic force control strategy. The method of controlling chaos by external periodic force feedback controller is developed to guide chaotic motions towards regular motions. The stability of the control system is also analyzed especially by theory. By selecting appropriate feedback coefficients, the unstable periodic orbits of the original chaotic orbit can be stabilized to the stable periodic orbits. The effectiveness of this control method is verified by numerical simulation.