Extending the limits of stabilizability of systems with feedback delay via fractional-order PD controllers

Tamas Balogh, T. Insperger

Research output: Contribution to journalArticle

Abstract

In the last few decades the advantages of fractional-order control was demonstrated with several examples in comparison with integer-order control. In this paper, stabilizability of a second-order unstable system subject to a delayed PDµ and PDµDρ controller is investigated in terms of the critical delay. Stabilizability diagrams are determined as a function of the order of the fractional derivatives. It is shown that the critical delay for the PDµ controller is larger by 12% than that of the PD1 (or simply proportional-derivative, PD) controller and the critical delay for the PDµDρ controller is larger by 3.8% than the critical delay of the PD1D2 (or simply proportional-derivative-acceleration, PDA) controller.

Original languageEnglish
Pages (from-to)265-270
Number of pages6
JournalIFAC-PapersOnLine
Volume51
Issue number14
DOIs
Publication statusPublished - Jan 1 2018

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Keywords

  • fractional-order control
  • stability
  • stabilizability
  • time delay

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Extending the limits of stabilizability of systems with feedback delay via fractional-order PD controllers. / Balogh, Tamas; Insperger, T.

In: IFAC-PapersOnLine, Vol. 51, No. 14, 01.01.2018, p. 265-270.

Research output: Contribution to journalArticle

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