An Intermittent Chaos Control Method for a Class of Symmetric Impact Systems

DU Weixia; ZHANG Sijin; YIN Shan

doi:10.21656/1000-0887.380292

Volume 39 Issue 10

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DU Weixia, ZHANG Sijin, YIN Shan. An Intermittent Chaos Control Method for a Class of Symmetric Impact Systems[J]. Applied Mathematics and Mechanics, 2018, 39(10): 1149-1158. doi: 10.21656/1000-0887.380292

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An Intermittent Chaos Control Method for a Class of Symmetric Impact Systems

doi: 10.21656/1000-0887.380292

College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, P.R.China

Funds: The National Natural Science Foundation of China（11372101）

Received Date: 2017-11-22
Rev Recd Date: 2018-01-26
Publish Date: 2018-10-01

Abstract

Abstract

An intermittent chaos control method for symmetric impact systems was studied. The Hopf bifurcation control was applied to make a new control method for chaos control of such systems. The 2DOF elastic doubleimpact system was considered. Firstly, the mechanical model for the 2DOF system was built and its motion was divided into 4 stages according to the dynamic characteristics. Then, an appropriate Poincaré mapping was established; a suitable fixed phase plane was chosen, a linear controller was applied to the section to get the mapping with control, and the chaotic control explicit condition was obtained according to the stability criterion. Finally, numerical analyses of the original system and the controlled system were carried out respectively. The numerical results show that, the proposed method controls the chaos movement of the original system well, to achieve the desired goal and verify the correctness of the method. The method, with practical significance, is helpful to improve the stability, working efficiency and service life of the system.
- chaos control,
- Poincaré mapping,
- intermittent linear control,
- explicit condition

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References

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