Two-Aircraft optimal control problem. The in-flight noise reduction*, **

Fulgence Nahayo; Mounir Haddou; Salah Khardi; Mahmoud Hamadiche; Jean Ndimubandi

ESAIM: Proceedings (2012)

  • Volume: 35, page 269-274
  • ISSN: 1270-900X

Abstract

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The aim of this paper is to present and solve a mathematical model of a two-aircraft optimal control problem reducing the noise on the ground during the approach. The mathematical modelization of this problem is a non-convex optimal control governed by ordinary non-linear differential equations. To solve this problem, A direct method and a Runge-Kutta RK4 discretization schema are used. This discretization schema is chosed because it is a sufficiently high order and it does-not require computation of the partial derivatives of the aircraft dynamic. The Nonlinear Interior point Trust Region Optimization solver KNITRO is applied. A large set of numerical experiments is presented. The obtained results give feasible trajectories with a significant noise reduction.

How to cite

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Nahayo, Fulgence, et al. Denis Poisson, Fédération, and Trélat, E., eds. " Two-Aircraft optimal control problem. The in-flight noise reduction*, **." ESAIM: Proceedings 35 (2012): 269-274. <http://eudml.org/doc/251267>.

@article{Nahayo2012,
abstract = {The aim of this paper is to present and solve a mathematical model of a two-aircraft optimal control problem reducing the noise on the ground during the approach. The mathematical modelization of this problem is a non-convex optimal control governed by ordinary non-linear differential equations. To solve this problem, A direct method and a Runge-Kutta RK4 discretization schema are used. This discretization schema is chosed because it is a sufficiently high order and it does-not require computation of the partial derivatives of the aircraft dynamic. The Nonlinear Interior point Trust Region Optimization solver KNITRO is applied. A large set of numerical experiments is presented. The obtained results give feasible trajectories with a significant noise reduction.},
author = {Nahayo, Fulgence, Haddou, Mounir, Khardi, Salah, Hamadiche, Mahmoud, Ndimubandi, Jean},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {269-274},
publisher = {EDP Sciences},
title = { Two-Aircraft optimal control problem. The in-flight noise reduction*, **},
url = {http://eudml.org/doc/251267},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Nahayo, Fulgence
AU - Haddou, Mounir
AU - Khardi, Salah
AU - Hamadiche, Mahmoud
AU - Ndimubandi, Jean
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - Two-Aircraft optimal control problem. The in-flight noise reduction*, **
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 269
EP - 274
AB - The aim of this paper is to present and solve a mathematical model of a two-aircraft optimal control problem reducing the noise on the ground during the approach. The mathematical modelization of this problem is a non-convex optimal control governed by ordinary non-linear differential equations. To solve this problem, A direct method and a Runge-Kutta RK4 discretization schema are used. This discretization schema is chosed because it is a sufficiently high order and it does-not require computation of the partial derivatives of the aircraft dynamic. The Nonlinear Interior point Trust Region Optimization solver KNITRO is applied. A large set of numerical experiments is presented. The obtained results give feasible trajectories with a significant noise reduction.
LA - eng
UR - http://eudml.org/doc/251267
ER -

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