Finding the integer order systems for fractional order systems via fractional operational matrices

Chi-Hsu Wang*, Chun Yao Chen

*Corresponding author for this work

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

1 Scopus citations

Abstract

In this paper, a new innovative method for approximating fractional order system by an integer order model is proposed. The Riemann-Liouville's integral is adopted for fractional order operations via block pulse expansion and a new SID (system identification) matrix can be derived to identify the coefficients of an integer order transfer function to approximate the given fractional order system. In comparison with previous approach via PSO (Particle Swarm Optimization) method, this new approach provides a more reasonable approach and yield better results. Several examples are illustrated to validate our better results.

Original languageEnglish
Title of host publicationProceedings of 2012 9th IEEE International Conference on Networking, Sensing and Control, ICNSC 2012
Pages267-270
Number of pages4
DOIs
StatePublished - 4 Jul 2012
Event2012 9th IEEE International Conference on Networking, Sensing and Control, ICNSC 2012 - Beijing, China
Duration: 11 Apr 201214 Apr 2012

Publication series

NameProceedings of 2012 9th IEEE International Conference on Networking, Sensing and Control, ICNSC 2012

Conference

Conference2012 9th IEEE International Conference on Networking, Sensing and Control, ICNSC 2012
CountryChina
CityBeijing
Period11/04/1214/04/12

Keywords

  • fractional order system
  • least-square estimation
  • system identification

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