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, cilt.43, sa.11, ss.2425-2437, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 11
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1177/0142331220987537
  • Dergi Adı: Transactions of the Institute of Measurement and Control
  • Derginin Tarandığı İndeksler: 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
  • Sayfa Sayıları: ss.2425-2437
  • Anahtar Kelimeler: Caputo derivative, collocation method, Fractional optimal control problem, linear b-spline function, operational matrix
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.