Volume 35, March 2012Congrès National de Mathématiques Appliquées et Industrielles
|Page(s)||269 - 274|
|Published online||06 April 2012|
Two-Aircraft optimal control problem. The in-flight noise reduction*,, **
Infomaths, University Claude Bernard of Lyon 1 France - LTE-IFSTTAR - University
of Burundi,E-Mail: nahayo
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.
This work is supported by the Agence Universitaire de la Francophonie and the French Institute of Science and Technology for Transport, Development and Networks - Transport and Environment Laboratory ”IFSTTAR-LTE”, Lyon - France
© EDP Sciences, SMAI 2012
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