A numerical method for solving quadratic fractional optimal control problems

Abstract

The objective of this article is to present a novel algorithm that can efficiently address fractional quadratic optimal control problems (FQOCPs) through the application of the generalized differential transform method, in conjunction with a Vandermonde matrix. The algorithm’s performance, in terms of solution accuracy, reliability, and efficiency, is exemplified by a range of illustrative examples. This paper introduces an innovative methodology for the numerical resolution of FQOCPs, demonstrating its inherent capabilities and efficacy.

Keywords

• Quadratic optimal control
• Caputo fractional derivative
• Fractional optimal control problems
• Generalized differential transform method