On the fractional optimal control problems with a general derivative operator

A Jajarmi, D Baleanu - Asian Journal of Control, 2021 - Wiley Online Library
This paper deals with a general form of fractional optimal control problems involving the
fractional derivative with singular or non‐singular kernel. The necessary conditions for the …

A Legendre collocation method for distributed-order fractional optimal control problems

MA Zaky - Nonlinear Dynamics, 2018 - Springer
In many dynamic processes, the fractional differential operators not only appear as discrete
fractional, but they also possess a continuous nature in a sense that their order is distributed …

Approximation methods for solving fractional optimal control problems

SS Zeid, S Effati, AV Kamyad - Computational and Applied Mathematics, 2018 - Springer
In this review paper, approximation methods for the free final time of fractional optimal
control problems (FOCPs) are displayed. The considered problems mainly include the …

Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost

N Kumar, M Mehra - Numerical methods for partial differential …, 2021 - Wiley Online Library
This paper exhibits a numerical method for solving general fractional optimal control
problems involving a dynamical system described by a nonlinear Caputo fractional …

[HTML][HTML] A comprehensive review on fractional-order optimal control problem and its solution

A Abd-Elmonem, R Banerjee, S Ahmad… - Open …, 2023 - degruyter.com
This article presents a comprehensive literature survey on fractional-order optimal control
problems. Fractional-order differential equation is extensively used nowadays to model real …

A new approach for the nonlinear fractional optimal control problems with external persistent disturbances

A Jajarmi, M Hajipour, E Mohammadzadeh… - Journal of the Franklin …, 2018 - Elsevier
The aim of this manuscript is to investigate an efficient iterative approach for the nonlinear
fractional optimal control problems affected by the external persistent disturbances. For this …

Optimal control computation for nonlinear fractional time-delay systems with state inequality constraints

C Liu, Z Gong, C Yu, S Wang, KL Teo - Journal of Optimization Theory and …, 2021 - Springer
In this paper, a numerical method is developed for solving a class of delay fractional optimal
control problems involving nonlinear time-delay systems and subject to state inequality …

Numerical solutions for distributed-order fractional optimal control problems by using generalized fractional-order Chebyshev wavelets

G Ghanbari, M Razzaghi - Nonlinear Dynamics, 2022 - Springer
This paper studies a numerical approach based on generalized fractional-order Chebyshev
wavelets for solving distributed-order fractional optimal control problems (DO-FOCPs). The …

A numerical approach based on fractional-order hybrid functions of block-pulse and Bernoulli polynomials for numerical solutions of fractional optimal control …

O Postavaru, A Toma - Mathematics and Computers in Simulation, 2022 - Elsevier
We present, an accurate and efficient computational method based on the fractional-order
hybrid of block-pulse functions and Bernoulli polynomials for solving fractional optimal …

Development of the method of quasi-optimal robust control for periodic operational processes

I Lutsenko, E Fomovskaya, S Koval… - Восточно-Европейский …, 2017 - irbis-nbuv.gov.ua
Пошук супремуму оптимальної траєкторії управління практично недосяжний в реальних
умовах. Це пов'язано з великою кількістю ступенів свободи керованої системи …