Time Optimal Control and Switching Curve Analysis for Caputo Fractional Systems

Zeinab Zolfaghari, Mahdi Baradarannia, Farzad Hashemzadeh, Sehraneh Ghaemi

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

2 Citations (Scopus)

Abstract

In this paper we present a method for fractional time optimal control problems in terms of Caputo fractional derivatives. The studies up to now are about systems in terms of Riemann-Liouville fractional derivatives. But in this paper we investigated Caputo fractional systems. Firstly, by utilizing matrix approach method to discrete fractional derivatives, fractional Caputo derivative is solved. Then, the original problem is solved by traditional optimal problem solvers. Finally, time optimal problem is studied for a double fractional integrator and a method for obtaining switching curve has presented.

Original languageEnglish
Title of host publicationProceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages229-233
Number of pages5
ISBN (Electronic)9781509036967
DOIs
Publication statusPublished - 2 Oct 2017
Externally publishedYes
Event3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016 - Dubai, United Arab Emirates
Duration: 23 Nov 201625 Nov 2016

Publication series

NameProceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016

Conference

Conference3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016
Country/TerritoryUnited Arab Emirates
CityDubai
Period23/11/1625/11/16

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

Keywords

  • Caputo fractional systems
  • switching curve
  • Time optimal control

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