期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 66, 期 -, 页码 20-30出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2018.06.003
关键词
Degeneration of eigenvalues; Degeneration of grazing; Perturbation analysis; Discontinuous grazing control
类别
资金
- China Scholarship Council [201706130054]
- National Natural Science Foundation of China [11672104]
- Chair Professor of Lotus Scholars Program in Hunan province [XJT2015408]
- National Science Fund for Distinguished Young Scholars in China [11225212]
- Natural Science Foundation of Hunan province [2016JJ4027]
- Collaborative Innovation Center of Intelligent New Energy Vehicle
- Hunan Collaborative Innovation Center for Green Car
- Hunan Province Cooperative Innovation Center for the Construction & Development of Dongting Lake Ecological Economic Zone
In controlling the discontinuous grazing bifurcations in impact oscillators, a discrete-intime linear feedback control strategy in the existing literature was used to change the conditions at the grazing point based on the grazing stability criterion. Though this strategy is effective for its linear inequality constraint of the control parameter domain, a smooth and predictable bifurcating response cannot be obtained for the controlled system, but the grazing induced chaos or period-adding phenomena. To improve this control strategy and stabilize the elementary near-grazing impact periodic motion in impact oscillators, one feasible control criterion is established in this paper by performing the perturbation analysis of the eigenvalues of the Jacobian matrix. It is found that the degeneration of both eigenvalues and grazing bifurcation can stabilize the elementary near-grazing impact periodic motion and eliminate the discontinuous jump phenomenon at grazing. (C) 2018 Elsevier B.V. All rights reserved.
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