A class of nonlinear optimal control problems governed by Fredholm integro-differential equations with delay. Issue 9 (1st September 2020)

• Record Type: Journal Article
• Authors: Marzban, Hamid Reza; Rostami Ashani, Mehrdad
• Is Part Of: International journal of control. Volume 93:Issue 9(2020)
• Page Start: 2199
• Page End: 2211
• Publication Date: 2020-09-01
• Subjects: Block-pulse functions -- orthonormal Taylor polynomials -- Fredholm integro-differential equation -- nonlinear optimal control -- time-delay system; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2018.1550683
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: This paper introduces an efficient numerical scheme for solving a significant class of nonlinear delay optimal control problem governed by Fredholm integro-differential equations. A direct approach based on a combination of block-pulse functions and orthonormal Taylor polynomials is utilised to transcribe the problem under study into a nonlinear programming one. The resulting optimisation problem is then solved by employing the method of Lagrange multipliers. An upper error bound for the hybrid functions with respect to the maximum norm is obtained. In addition, the convergence of the hybrid functions is established. Numerous numerical experiments are carried out to evaluate the performance and effectiveness of the suggested framework.