# 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

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topNahayo, 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 -