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Control of near-grazing dynamics in impact oscillators
Virginia Polytechnic Institute and State University, Department of Engineering Science and Mechanics, Virginia, USA.
KTH, Skolan för teknikvetenskap (SCI), Farkost och flyg, Fordonsdynamik.ORCID-id: 0000-0002-1426-1936
2005 (engelsk)Inngår i: Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, E-ISSN 1471-2946, Vol. 461, nr 2063, s. 3365-3380Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

A method is presented for controlling the persistence of a local attractor near a grazing periodic trajectory in a piecewise smooth dynamical system in the presence of discontinuous jumps in the state associated with intersections with system discontiunities. In particular, it is shown that a discrete, linear feedback strategy may be employed to retain the existence of an attractor near the grazing trajectory, such that the deviation of the attractor from the grazing trajectory goes to zero as the system parameters approach those corresponding to grazing contact. The implementation relies on a local analysis of the near-grazing dynamics using the concept of discontinuity mappings. Numerical results are presented for a linear and a nonlinear oscillator.

sted, utgiver, år, opplag, sider
2005. Vol. 461, nr 2063, s. 3365-3380
Emneord [en]
piecewise smooth systems, grazing trajectories, grazing bifurcations, discontinuity mappings, control, bifurcations
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-15132DOI: 10.1098/rspa.2005.1516ISI: 000232719000002Scopus ID: 2-s2.0-32844461037OAI: oai:DiVA.org:kth-15132DiVA, id: diva2:333173
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QC 20100525

Tilgjengelig fra: 2010-08-05 Laget: 2010-08-05 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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