Chaos control of gear system with elastomeric web based on multi-parameter multi-step method
LIU Hai-xia1,2, JIANG Bo3,4, WANG San-min1, GUO Jia-shun1
1.School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China;2.School of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, China;3.Institute of Optics and Precision Mechanic, Chinese Academy of Sciences, Xi’an 710119, China;4.Graduate University of Chinese Academy of Sciences, Beijing 100039, China
Abstract:
This paper employs a multi-parameter multi-step chaos control method, which is built up on the OGY method, to stabilize desirable UPOs of a gear system with elastomeric web as a high-dimensional and non-hyperbolic chaotic system, and the analyses are carried out. Three types of relations between components of a certain control parameter combination are defined in a certain control process. Special emphasis is put on the comparison of control efficiencies of the multi-parameter multi-step method and single-parameter multi-step method. The numerical experiments show the ability to switch between different orbits and the method can be a good chaos control alternative since it provides a more effective UPOs stabilization of high-dimensional and non-hyperbolic chaotic systems than the single-parameter chaos control, and according to the relation between components of each parameter combination, the best combination for chaos control in a certain UPO stabilization process are obtained.
Key words: chaos control, a gear system with elastomeric web, multi-parameter multi-step method, high-dimensional and non-hyperbolic system
DOI：10.11916/j.issn.1005-9113.2012.05.004
Clc Number:TP113
Fund:
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Chaos control of gear system with elastomeric web based on multi-parameter multi-step method
本站小编 哈尔滨工业大学/2019-10-23
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