Study of B-spline collocation method for solving fractional optimal control problems

Edrisi-Tabriz Y., Lakestanı M., Razzaghi M.

Transactions of the Institute of Measurement and Control, vol.43, no.11, pp.2425-2437, 2021 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 11
  • Publication Date: 2021
  • Doi Number: 10.1177/0142331220987537
  • Journal Name: Transactions of the Institute of Measurement and Control
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, Metadex, DIALNET, Civil Engineering Abstracts
  • Page Numbers: pp.2425-2437
  • Keywords: Caputo derivative, collocation method, Fractional optimal control problem, linear b-spline function, operational matrix
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this article, a class of fractional optimal control problems (FOCPs) are solved using a direct method. We present a new operational matrix of the fractional derivative in the sense of Caputo based on the B-spline functions. Then we reduce the solution of fractional optimal control problem to a nonlinear programming (NLP) one, where some existing well-developed algorithms may be applied. Numerical results demonstrate the efficiency of the presented technique.