On finite time resonance entrainment in multi-DOF systems

Denis Efimov, Alexander Fradkov, Tetsuya Iwasaki

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

The mechanism of entrainment to natural oscillations in a class of (bio) mechanical systems described by linear models is investigated. A nonlinear control strategy (based on the speed gradient control algorithm) is analyzed providing the system oscillation in resonance mode with a natural frequency. It ensures an energy-optimal entrainment performance robustly against perturbations in system parameters in a finite time. The obtained controller equations can be interpreted as equations of a dynamical neural network. Assuming that the resetting mechanism in animals is selected to ensure a suboptimal entrainment performance, the neural network interpretation may be helpful for understanding the entrainment phenomenon in nature. Efficiency of the proposed entrainment solutions is demonstrated by examples of computer simulation.

Original languageEnglish
Title of host publication2012 AMERICAN CONTROL CONFERENCE (ACC)
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1035-1039
Number of pages5
ISBN (Print)978-1-4577-1095-7
StatePublished - 2012
EventAmerican Control Conference (ACC) - Montreal, Canada
Duration: 27 Jun 201229 Jun 2012

Publication series

NameProceedings of the American Control Conference
PublisherIEEE COMPUTER SOC
ISSN (Print)0743-1619

Conference

ConferenceAmerican Control Conference (ACC)
CountryCanada
CityMontreal
Period27/06/1229/06/12

Keywords

  • entrainment
  • nonlinear control
  • oscillations

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