Fractional-order discrete-time PIλ controllers design

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Abstract

This paper introduces a new design method of discrete-time fractional-order PIλ controllers. It is based on using an exact discretization method that always guarantees the implementation of 3rd-order, minimum-phase, and stable discrete-time controllers. The structure of the controller can be considered as an adaptive one since it only depends on the order of the controller, which is one of three tuning parameters. The other two parameters are the controller gain, and its integral reset time constant. The exact discretization method is more effective than the direct or indirect ones, where rational z-transfer functions are developed instead of using generating functions. The hereditary effect of the proposed controllers can be extended by increasing the order of the discrete-time operators beyond three. The main points of the proposed method are illustrated via numerical simulations.

Original languageBritish English
Title of host publication2017 IEEE 60th International Midwest Symposium on Circuits and Systems, MWSCAS 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages205-208
Number of pages4
ISBN (Electronic)9781509063895
DOIs
StatePublished - 27 Sep 2017
Event60th IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2017 - Boston, United States
Duration: 6 Aug 20179 Aug 2017

Publication series

NameMidwest Symposium on Circuits and Systems
Volume2017-August
ISSN (Print)1548-3746

Conference

Conference60th IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2017
Country/TerritoryUnited States
CityBoston
Period6/08/179/08/17

Keywords

  • Digital filters
  • Discrete-time
  • Fractional-order controller
  • PI controllers
  • PID controller

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