Adaptive control of a nonlinear oscillating system

Robert L. Kosut, Deirdre Meldrum, Gene F. Franklin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


A slowly adapting feedforward controller is applied to a nonlinear (Duffing) oscillator. Simulation results show that the adaptation continues uninterruptedly to improve performance despite the complex system behavior, i.e., the system state passes in and out of both chaotic and multiperiodic attractors, finally settling down to a quiet periodic orbit. An analysis is presented based on the method of averaging. Under slow parameter adjustment it is shown that the source of the complex behavior is the nonlinearity in the system being controlled, not that introduced by the adaptation.

Original languageEnglish (US)
Title of host publicationProc 1989 Am Control Conf
Place of PublicationPiscataway, NJ, United States
PublisherPubl by IEEE
Number of pages6
StatePublished - 1989
Externally publishedYes
EventProceedings of the 1989 American Control Conference - Pittsburgh, PA, USA
Duration: Jun 21 1989Jun 23 1989


OtherProceedings of the 1989 American Control Conference
CityPittsburgh, PA, USA

ASJC Scopus subject areas

  • Engineering(all)


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