Status: Bibliographieeintrag
Standort: ---
Exemplare:
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| Online-Ressource |
Verfasst von: | Jung, Michael [VerfasserIn]  |
| Kirches, Christian [VerfasserIn]  |
| Sager, Sebastian [VerfasserIn]  |
| Sass, Susanne [VerfasserIn]  |
Titel: | Computational approaches for mixed integer optimal control problems with indicator constraints |
Verf.angabe: | Michael N. Jung, Christian Kirches, Sebastian Sager, Susanne Sass |
E-Jahr: | 2018 |
Jahr: | 5 October 2018 |
Umfang: | 29 S. |
Fussnoten: | Gesehen am 07.11.2019 |
Titel Quelle: | Enthalten in: Vietnam journal of mathematics |
Ort Quelle: | Singapore : Springer, 1999 |
Jahr Quelle: | 2018 |
Band/Heft Quelle: | 46(2018), 4, Seite 1023-1051 |
ISSN Quelle: | 2305-2228 |
Abstract: | Optimal control problems with mixed integer control functions and logical implications, such as a state-dependent restriction on when a control can be chosen (so-called indicator or vanishing constraints) frequently arise in practice. A prominent example is the optimal cruise control of a truck. As every driver knows, admissible gear choices critically depend on the current velocity. A large variety of approaches has been proposed on how to numerically solve this challenging class of control problems. We present a computational study in which the most relevant of them are compared for a reference model problem, based on the same discretization of the differential equations. This comprehends dynamic programming, implicit formulations of the switching decisions, and a number of explicit reformulations, including mathematical programs with vanishing constraints in function spaces. We survey all of these approaches in a general manner, where several formulations have not been reported in the literature before. We apply them to a benchmark truck cruise control problem and discuss advantages and disadvantages with respect to optimality, feasibility, and stability of the algorithmic procedure, as well as computation time. |
DOI: | doi:10.1007/s10013-018-0313-z |
URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.
Volltext: https://doi.org/10.1007/s10013-018-0313-z |
| DOI: https://doi.org/10.1007/s10013-018-0313-z |
Datenträger: | Online-Ressource |
Sprache: | eng |
Sach-SW: | 49-04 |
| 49M37 |
| 65K05 |
| 90-08 |
| 90C30 |
| 90C33 |
| 90C39 |
| 90C59 |
| 90C90 |
| 93B40 |
| Cruise control |
| Dynamic programming |
| Heavy-duty truck |
| Indicator constraints |
| MINLP |
| Mixed integer optimal control |
| Partial outer convexification |
| Switched systems |
| Switching function |
| Vanishing constraints |
K10plus-PPN: | 1041419902 |
Verknüpfungen: | → Zeitschrift |
Computational approaches for mixed integer optimal control problems with indicator constraints / Jung, Michael [VerfasserIn]; 5 October 2018 (Online-Ressource)
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