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

Arman Dabiri, Morad Nazari, Eric A. Butcher

Research output: Contribution to journalConference articlepeer-review

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)
Pages (from-to)39-44
Number of pages6
JournalIFAC-PapersOnLine
Volume28
Issue number12
DOIs
StatePublished - Jul 1 2015
Event12th IFAC Workshop on Time Delay Systems, TDS 2015 - Ann Arbor, United States
Duration: Jun 28 2015Jun 30 2015

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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