Consistency and feasibility of Haar wavelet collocation method for a nonlinear optimal control problem with application

Abstract

Haar wavelet-based numerical algorithms have recently been developed for various mathematical problems, including optimal control problems. However, no numerical algorithm is complete without its theoretical analysis. In this paper, we have shown the consistency and feasibility of the Haar wavelet-based collocation method for solving nonlinear optimal control problems that have a single state and a single control variable with constraints. The accuracy of the method has been shown through some application problems. © 2023, World Scientific and Engineering Academy and Society. All rights reserved.