Explicit harmonic balance method for transition curve analysis of linear fractional periodic time-delayed systems

Arman Dabiri, Morad Nazari, Eric Butcher

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

14 Scopus citations

Abstract

This paper presents an explicit harmonic balance (EHB) method for the analysis of transition curves of linear fractional periodic time delayed (FPTD) systems. The EHB method has advantages in computational efficiency in obtaining transition curves of a FPTD system compared with conventional techniques. The proposed technique is illustrated with parametrically excited single and double pendulum systems, with both time-delayed states and fractional damping.

Original languageEnglish (US)
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
PublisherIFAC Secretariat
Pages39-44
Number of pages6
Volume48
Edition12
DOIs
StatePublished - Jul 1 2015
Event12th IFAC Workshop on Time Delay Systems, TDS 2015 - Ann Arbor, United States
Duration: Jun 28 2015Jun 30 2015

Other

Other12th IFAC Workshop on Time Delay Systems, TDS 2015
CountryUnited States
CityAnn Arbor
Period6/28/156/30/15

Keywords

  • Floquet theory
  • Fractional derivative
  • Harmonic balance
  • Parametric excitation
  • Stability
  • Time delay
  • Time periodic
  • Transition curves

ASJC Scopus subject areas

  • Control and Systems Engineering

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    Dabiri, A., Nazari, M., & Butcher, E. (2015). Explicit harmonic balance method for transition curve analysis of linear fractional periodic time-delayed systems. In IFAC Proceedings Volumes (IFAC-PapersOnline) (12 ed., Vol. 48, pp. 39-44). IFAC Secretariat. https://doi.org/10.1016/j.ifacol.2015.09.350