| Issue |
ESAIM: Proc.
Volume 35, March 2012
Congrès National de Mathématiques Appliquées et Industrielles
|
|
|---|---|---|
| Page(s) | 269 - 274 | |
| DOI | https://doi.org/10.1051/proc/201235026 | |
| Published online | 06 April 2012 | |
Two-Aircraft optimal control problem. The in-flight noise reduction*,, **
1
Infomaths, University Claude Bernard of Lyon 1 France - LTE-IFSTTAR - University
of Burundi,E-Mail: nahayo
E-Mail: fulgence@gmail.com
2
INSA-IRMAR, UMR-CNRS 6625, Rennes - France
3
LTE, The French Institute of Science and Technology for Transport,
Development and Networks, Lyon - France
4
LMFA,University Claude Bernard of Lyon 1,
France
5
Mathematics departement, University of Burundi,
Bujumbura - Burundi
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.
© EDP Sciences, SMAI 2012
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