MIDACO on MINLP space applications |
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Authors: | Martin Schlueter Sven O Erb Matthias Gerdts Stephen Kemble Jan-J Rückmann |
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Institution: | 1. Division of Large Scale Computing Systems, Information Initiative Center, Hokkaido University, Sapporo 060-0811, Japan;2. European Space Agency, ESTEC (TEC-ECM), Keplerlaan 1, 2201 AZ Noordwijk, The Netherlands;3. Institut fuer Mathematik und Rechneranwendung, Universität der Bundeswehr, München, D-85577 Neubiberg/München, Germany;4. Astrium Limited, Gunnels Wood Road, Stevenage, Hertfordshire SG1 2AS, United Kingdom;5. School of Mathematics, University of Birmingham, Birmingham B15 2TT, United Kingdom |
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Abstract: | A numerical study on two challenging mixed-integer non-linear programming (MINLP) space applications and their optimization with MIDACO, a recently developed general purpose optimization software, is presented. These applications are the optimal control of the ascent of a multiple-stage space launch vehicle and the space mission trajectory design from Earth to Jupiter using multiple gravity assists. Additionally, an NLP aerospace application, the optimal control of an F8 aircraft manoeuvre, is discussed and solved. In order to enhance the optimization performance of MIDACO a hybridization technique, coupling MIDACO with an SQP algorithm, is presented for two of these three applications. The numerical results show, that the applications can be solved to their best known solution (or even new best solution) in a reasonable time by the considered approach. Since using the concept of MINLP is still a novelty in the field of (aero)space engineering, the demonstrated capabilities are seen as very promising. |
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Keywords: | MIDACO Mixed-integer nonlinear programming (MINLP) Nonlinear programming (NLP) Sequential quadratic programming (SQP) Space application |
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