Lounis, AbbesMarthon, PhilippeLouadj, KahinaAidene, Mohamed2022-04-172022-04-172022-01-24Lounis, 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]https://dspace.univ-eloued.dz/handle/123456789/10843Forum Intervention of Artificial Intelligence and Its Applications. Faculty of Exat science. University of ElouedA 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.enOptimal control · Multiple Shooting Method · Non-Linear Programming Problem · Newton’s methodOther