Integral constraint regularization method for fractional optimal control problem with pointwise state constraint

Fangyuan Wang, Chuanjun Chen and Zhaojie Zhou

Chaos, Solitons & Fractals, 2024, vol. 180, issue C

Abstract: This paper investigates integral constraint regularization approximation of fractional optimal control problem with pointwise state constraint. Firstly the continuous first-order optimality condition is derived. In order to deal with the irregular multiplier, a regularized optimal control problem with finitely many integral state constraints is proposed based on integral constraint regularization method. The error between the original solution and the regularized solution is deduced. Continuous piecewise linear finite element combined with variational discretization approach is used to discretize the regularized optimal control problem. Finite element discretization error combined with the regularization error leads to the final error estimate. Finally, numerical examples are presented to verify the theoretical findings.

Keywords: Fractional optimal control problem; State constraint; Integral constraint regularization; Error estimate (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001103

DOI: 10.1016/j.chaos.2024.114559

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