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Controlling grazing-induced multistability in a piecewise-smooth impacting system via the time-delayed feedback control

dc.contributor.authorZhang, Z
dc.contributor.authorPáez Chávez, J
dc.contributor.authorSieber, J
dc.contributor.authorLiu, Y
dc.date.accessioned2021-05-11T10:01:23Z
dc.date.issued2021-05-19
dc.description.abstractGrazing events may create coexisting attractors and cause complex dynamics in piecewise-smooth dynamical systems. This paper studies control of grazing-induced multistability in a soft impacting oscillator by using time-delayed feedback control. The control switches from one of the coexisting attractors to a desired one to suppress complex dynamics near grazing events. We use path-following (continuation) techniques for non-smooth dynamical systems to investigate robustness of the controller and the parameter dependence of the controlled system. In particular, several newly developed computational methods have been used, including a numerical method for analysing non-smooth delay equations and a method for calculating the Lyapunov exponents and the grazing point estimation. Numerical simulations demonstrate that the delayed feedback controller is effective, and a proper selection of the control gain and delay time can simplify the complex dynamics of the system near grazing.en_GB
dc.description.sponsorshipEngineering and Physical Sciences Research Council (EPSRC)en_GB
dc.description.sponsorshipUniversity of Exeteren_GB
dc.identifier.citationPublished online 19 May 2021en_GB
dc.identifier.doi10.1007/s11071-021-06511-2
dc.identifier.grantnumberEP/P023983/1en_GB
dc.identifier.grantnumberEP/N023544/1en_GB
dc.identifier.grantnumberEP/V04687X/1en_GB
dc.identifier.urihttp://hdl.handle.net/10871/125634
dc.language.isoenen_GB
dc.publisherSpringeren_GB
dc.rights© The Author(s) 2021. Open access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/
dc.subjectNon-smooth systemen_GB
dc.subjectPiecewise-smooth dynamical systemen_GB
dc.subjectMultistabilityen_GB
dc.subjectImpact oscillatoren_GB
dc.subjectGrazingen_GB
dc.subjectDelayed feedback controlen_GB
dc.titleControlling grazing-induced multistability in a piecewise-smooth impacting system via the time-delayed feedback controlen_GB
dc.typeArticleen_GB
dc.date.available2021-05-11T10:01:23Z
dc.identifier.issn0924-090X
dc.descriptionThis is the final version. Available on open access from Springer via the DOI in this recorden_GB
dc.descriptionData accessibility: The datasets generated and analysed during the current study are available from the corresponding author on reasonable requesten_GB
dc.identifier.journalNonlinear Dynamicsen_GB
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_GB
dcterms.dateAccepted2021-04-30
exeter.funder::Engineering and Physical Sciences Research Council (EPSRC)en_GB
rioxxterms.versionVoRen_GB
rioxxterms.licenseref.startdate2021-04-30
rioxxterms.typeJournal Article/Reviewen_GB
refterms.dateFCD2021-05-11T08:31:13Z
refterms.versionFCDAM
refterms.dateFOA2021-06-02T15:04:52Z
refterms.panelBen_GB


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© The Author(s) 2021. Open access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/
Except where otherwise noted, this item's licence is described as © The Author(s) 2021. Open access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/