Control of Near-Grazing Dynamics in the Two-Degree-of-Freedom Vibroimpact System with Symmetrical Constraints
Joint Authors
Xu, Jieqiong
Wang, Zihan
Wu, Shuai
Yuan, Quan
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The stability of grazing bifurcation is lost in three ways through the local analysis of the near-grazing dynamics using the classical concept of discontinuity mappings in the two-degree-of-freedom vibroimpact system with symmetrical constraints.
For this instability problem, a control strategy for the stability of grazing bifurcation is presented by controlling the persistence of local attractors near the grazing trajectory in this vibroimpact system with symmetrical constraints.
Discrete-in-time feedback controllers designed on two Poincare sections are employed to retain the existence of an attractor near the grazing trajectory.
The implementation relies on the stability criterion under which a local attractor persists near a grazing trajectory.
Based on the stability criterion, the control region of the two parameters is obtained and the control strategy for the persistence of near-grazing attractors is designed accordingly.
Especially, the chaos near codimension-two grazing bifurcation points was controlled by the control strategy.
In the end, the results of numerical simulation are used to verify the feasibility of the control method.
American Psychological Association (APA)
Wang, Zihan& Xu, Jieqiong& Wu, Shuai& Yuan, Quan. 2020. Control of Near-Grazing Dynamics in the Two-Degree-of-Freedom Vibroimpact System with Symmetrical Constraints. Complexity،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1143944
Modern Language Association (MLA)
Wang, Zihan…[et al.]. Control of Near-Grazing Dynamics in the Two-Degree-of-Freedom Vibroimpact System with Symmetrical Constraints. Complexity No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1143944
American Medical Association (AMA)
Wang, Zihan& Xu, Jieqiong& Wu, Shuai& Yuan, Quan. Control of Near-Grazing Dynamics in the Two-Degree-of-Freedom Vibroimpact System with Symmetrical Constraints. Complexity. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1143944
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143944