Volume 9, Issue 4 (12-2023)
mmr 2023, 9(4): 122-155 |
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Marzban H R, Nezami A. A collocation method for solving nonlinear delay fractional optimal control system with constraints on the state and control variables. mmr 2023; 9 (4) :122-155
URL: http://mmr.khu.ac.ir/article-1-3312-en.html
URL: http://mmr.khu.ac.ir/article-1-3312-en.html
1- Isfahan University of Technology , hmarzban@iut.ac.ir
2- Isfahan University of Technology
2- Isfahan University of Technology
Abstract: (1736 Views)
In this research, an efficient numerical method is presented for solving a class of nonlinear delay fractional optimal control problems with inequality constraints on the state and control variables. The proposed approach is based on the hybrid of block-pulse functions and fractional-order Legendre functions. By using the operational matrices of delay and derivative associated with the hybrid functions, the original optimal control problem is transformed into a parameter optimization one. The numerical results, demonstrate the accuracy and validity of the suggested method.
Keywords: delay nonlinear fractional optimal control, hybrid of block-pulse functions and fractional order Legendre functions, Caputo fractional derivative operator, derivative operational matrix, delay operational matrix, collocation method
Type of Study: Research Paper |
Subject:
Mat
Received: 2023/01/9 | Revised: 2024/06/23 | Accepted: 2023/04/17 | Published: 2024/02/17 | ePublished: 2024/02/17
Received: 2023/01/9 | Revised: 2024/06/23 | Accepted: 2023/04/17 | Published: 2024/02/17 | ePublished: 2024/02/17
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