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Time-optimal aircraft trajectories in climbing phase and singular perturbations

Cots, Olivier and Gergaud, Joseph and Goubinat, Damien Time-optimal aircraft trajectories in climbing phase and singular perturbations. (2017) In: 20th World Congress of the International Federation of Automatic Control (IFAC 2017), 9 July 2017 - 14 July 2017 (Toulouse, France).

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Official URL: https://doi.org/10.1016/j.ifacol.2017.08.327

Abstract

This article deals with the singularly perturbed aircraft minimum time-to-climb problem. First, we introduce a reduced-order problem with affine dynamics with respect to the control and analyze it with the tools from geometric control: maximum principle combined with second order optimality conditions. Then, we compute candidates as minimizers using multiple shooting and homotopy methods for both problems, that we briefly compare numerically. Particular attention is paid to the singular extremals and we discuss about their local optimality.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Elsevier editor. This papers appears in volume 50 of IFAC-PapersOnLine. The definitive version is available at: https://www.sciencedirect.com/science/article/pii/S2405896317306559
HAL Id:hal-02871308
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Other partners > Thales (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited On:10 Jun 2020 12:07

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