Using a Direct Multiple Shooting Method to an Optimal control problem Direct Multiple Shooting Method

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Date

2022-01-24

Journal Title

Journal ISSN

Volume Title

Publisher

University of Eloued جامعة الوادي

Abstract

A multiple direct fire method is considered to solve optimal control problems. The multiple direct multiple shooting method is a numerical method for solving limit value problems. The method divides the interval over which a solution is sought into several smaller intervals, solves an initial value problem in each of the smaller intervals, and imposes additional matching conditions to form a solution over the entire interval. This method transforms an optimal control problem into a non-linear programming problem. To solve the latter problem, the zeros of the Lagrange Jacobian are computed using Newton’s method. Then, this method is illustrated by a numerical example and finally.

Description

Forum Intervention of Artificial Intelligence and Its Applications. Faculty of Exat science. University of Eloued

Keywords

Optimal control · Multiple Shooting Method · Non-Linear Programming Problem · Newton’s method

Citation

Lounis, Abbes • Marthon, Philippe •Louadj, Kahina • Aidene, Mohamed. Using a Direct Multiple Shooting Method to an Optimal control problem Direct Multiple Shooting Method. Forum of Artificial Intelligence and Its Applications. 24-26 Jan 2022. Faculty of Exat science. University of Eloued. [visited in ../../….]. available from [copy the link here]