A novel scheme for solving multi-delay fractional optimal control problems

Document Type : Research Paper


Department of Mathematics, Payame Noor University (PNU), Tehran, Iran


In this paper, we consider the problems of suboptimal control for a class of fractional-order optimal control problems with multi-delay argument. The fractional derivative in these problems is in the Caputo sense. To solve the problem, first by a suitable approximation, we replace the Caputo derivative to integer order derivative. The optimal control law consists of an accurate linear feedback term and a nonlinear compensation term which is the limit of an adjoint vector sequence, is obtained by a sensitivity approach. The feed back term is determined by solving Riccati matrix differential equation. By using a finite sum of the series, we can obtain a suboptimal control law. Finally, numerical results are included to demonstrate the validity and applicability of the present technique.


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Volume 13, Issue 1
March 2022
Pages 2095-2113
  • Receive Date: 11 March 2021
  • Revise Date: 25 June 2021
  • Accept Date: 28 June 2021