Control of near-grazing dynamics in impact oscillators
2005 (English)In: Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, E-ISSN 1471-2946, Vol. 461, no 2063, 3365-3380 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2005. Vol. 461, no 2063, 3365-3380 p.
piecewise smooth systems, grazing trajectories, grazing bifurcations, discontinuity mappings, control, bifurcations
IdentifiersURN: urn:nbn:se:kth:diva-15132DOI: 10.1098/rspa.2005.1516ISI: 000232719000002ScopusID: 2-s2.0-32844461037OAI: oai:DiVA.org:kth-15132DiVA: diva2:333173
QC 201005252010-08-052010-08-052016-09-20Bibliographically approved