On fraction order modeling and control of dynamical systems

Islam S.M. Khalil, A. Teoman Naskali, Asif Sabanovic

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2 Citations (Scopus)

Abstract

This paper demonstrates the feasibility of modeling any dynamical system using a set of fractional order differential equations, including distributed and lumped systems. Fractional order differentiators and integrators are the basic elements of these equations representing the real model of the dynamical system, which in turn implies the necessity of using fractional order controllers instead of controllers with integer order. This paper proves that fractional order differential equations can be used to model any dynamical system whether it is continuous or lumped.

Original languageEnglish
Title of host publication2nd IFAC International Conference on Intelligent Control Systems and Signal Processing
PublisherIFAC Secretariat
Pages192-196
ISBN (Print)978-3-902661-66-1
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event2nd IFAC International Conference on Intelligent Control Systems and Signal Processing, ICONS 2009 - Istanbul, Turkey
Duration: 21 Sept 200923 Sept 2009
Conference number: 2

Publication series

NameIFAC Proceedings Volumes
PublisherElsevier
Number19
Volume42
ISSN (Print)1474-6670

Conference

Conference2nd IFAC International Conference on Intelligent Control Systems and Signal Processing, ICONS 2009
Abbreviated titleICONS
Country/TerritoryTurkey
CityIstanbul
Period21/09/0923/09/09

Keywords

  • Continuous and lumped systems
  • Fraction calculus
  • Fraction order control
  • Laplace transform
  • n/a OA procedure

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