A numerical scheme to solve fractional optimal control problems
Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres
TL;DR
This paper reviews recent methods for solving fractional order optimal control problems, introduces a numerical scheme based on expansion formulas, and demonstrates its efficiency through illustrative examples.
Contribution
It presents a new numerical scheme for fractional optimal control problems using expansion formulas for fractional derivatives, with detailed case studies.
Findings
The numerical scheme effectively solves fractional optimal control problems.
The method shows high efficiency in example applications.
Particular cases of the control problems are analyzed in detail.
Abstract
We review recent results obtained to solve fractional order optimal control problems with free terminal time and a dynamic constraint involving integer and fractional order derivatives. Some particular cases are studied in detail. A numerical scheme is given, based on expansion formulas for the fractional derivative. The efficiency of the method is illustrated through examples.
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