Indirect method for solving non-linear optimal control of a non-rectilinear motion of a rocket with variable mass

Mohamed Aliane; Nacima Moussouni; Kahina Louadj; Nicolas Boizot

doi:10.5269/bspm.62778

Mohamed Aliane Department of Mathematics and Computer Science,University of Medea https://orcid.org/0000-0002-8020-4649
Nacima Moussouni University of Tizi-Ouzou https://orcid.org/0000-0002-3570-2462
Kahina Louadj University of Tizi-Ouzou https://orcid.org/0000-0002-4203-6357
Nicolas Boizot Université de Toulon https://orcid.org/0000-0001-7898-8723

Resumo

In this paper, an optimal trajectory of the rocket angle with a variable mass will be calculated by considering the aerodynamic forces, the acceleration of gravity and moves with a non-rectilinear motion from a initial state to a final state with a known altitude. The aim is to optimize the lateral oset of the rocket. For this, we formulate an optimal control problem where the rocket angle is the control. In order to solve the problem, let applied Shooting method's based on the Pontryagin's maximum principle, and study the precision and a duration time. Finally, we validate the results by using MATLAB software.

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Biografia do Autor

Mohamed Aliane, Department of Mathematics and Computer Science,University of Medea

Department of Mathematics and Computer Science

Nacima Moussouni, University of Tizi-Ouzou

laboratory L2CSP

Kahina Louadj, University of Tizi-Ouzou

Laboratory L2CSP

Nicolas Boizot, Université de Toulon

Laboratoire des Sciences de l’Information et systèmes

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