Robust fractional-order lag/lead compensators

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Abstract

this paper introduces a new design method of fractional-order robust lag/lead compensators. The proposed compensators are realizable and exhibit a frequency response of fractional-order dynamics. The structure of such controllers allows one to alternate between lag/lead forms by simply interchanging two parameters with each other. An analytical design method of these controllers is simplified to reduce the number of design parameters to two; the gain and one corner frequency of the compensator. It also ensures a robust flat phase response at their geometric mean, especially for those controllers of fractional-orders between 0. 5 < α < 1. The proposed design method is straightforward and demonstrate a competitive performance to other existing ones as verified via set of numerical examples.

Original languageBritish English
Title of host publication2018 IEEE 61st International Midwest Symposium on Circuits and Systems, MWSCAS 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages817-820
Number of pages4
ISBN (Electronic)9781538673928
DOIs
StatePublished - 22 Jan 2019
Event61st IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2018 - Windsor, Canada
Duration: 5 Aug 20188 Aug 2018

Publication series

NameMidwest Symposium on Circuits and Systems
Volume2018-August
ISSN (Print)1548-3746

Conference

Conference61st IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2018
Country/TerritoryCanada
CityWindsor
Period5/08/188/08/18

Keywords

  • Fractional-order calculus
  • Fractional-order controller
  • Lag/lead compensator
  • PID controller

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