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Status: Bibliographieeintrag

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Verfasst von:Jung, Michael [VerfasserIn]   i
 Kirches, Christian [VerfasserIn]   i
 Sager, Sebastian [VerfasserIn]   i
 Sass, Susanne [VerfasserIn]   i
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

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