Tangency property and prior-saturation points in planar minimal time problems
| Autor: | Olivier Cots, Térence Bayen |
|---|---|
| Přispěvatelé: | EA2151 Laboratoire de Mathématiques d'Avignon (LMA), Avignon Université (AU), Algorithmes Parallèles et Optimisation (IRIT-APO), Institut de recherche en informatique de Toulouse (IRIT), Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées, Institut National Polytechnique (Toulouse) (Toulouse INP) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Singular arcs Plane (geometry) 020208 electrical & electronic engineering Mathematical analysis Tangent 02 engineering and technology Geometric optimal control Minimum time problems Singular control Arc (geometry) 020901 industrial engineering & automation Planar Control and Systems Engineering 0202 electrical engineering electronic engineering information engineering Point (geometry) [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] Locus (mathematics) Saturation (chemistry) Mathematics |
| Zdroj: | International Federation of Automatic Control 2020 (IFAC 2020) International Federation of Automatic Control 2020 (IFAC 2020), Jul 2020, Berlin, Germany |
| Popis: | International audience; In this paper, we address properties of the minimal time synthesis for control-affine-systems in the plane involving a saturation point for the singular control. First, we provide sufficient conditions on the data ensuring occurence of a prior-saturation point. Then, we show that the bridge (i.e., the optimal bang arc issued from the singular locus at this point) is tangent to the switching curve at the prior-saturation point. We illustrate these results on a fed-batch model in bioprocesses. |
| Databáze: | OpenAIRE |
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