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Authors:
Kimmerle, Sven-Joachim; Gerdts, Matthias; Herzog, Roland 
Document type:
Konferenzbeitrag / Conference Paper 
Title:
An Optimal Control Problem for a Rotating Elastic Crane-Trolley-Load System 
Collection editors:
Breitenecker, Felix; Kemmetmüller, Wolfgang; Körner, Andreas; Kugi, Andreas; Troch, Inge 
Title of conference publication:
9th Vienna International Conference on Mathematical Modelling 
Journal:
IFAC-PapersOnLine 
Volume:
51 
Issue:
Organizer (entity):
International Federation of Automatic Control (IFAC) 
Conference title:
Vienna International Conference on Mathematical Modelling (9., 2018, Wien) 
Venue:
Wien, Österreich 
Year of conference:
2018 
Date of conference beginning:
21.02.2018 
Date of conference ending:
23.02.2018 
Publisher:
Elsevier 
Publication date:
04.05.2018 
Year:
2018 
Pages from - to:
272-277 
Language:
Englisch 
Keywords:
Time-optimal control ; coupling models ; coupled ODE-PDE system ; partial differential equations ; ordinary differential equations ; numeric control ; numerical simulation ; crane-trolley-load system ; ODE-PDE constrained optimization ; Fréchet-differentiability 
Abstract:
In this study we present an extension of a model of an elastic crane transporting a load by means of controlling the crane trolley motion and the crane rotation. In addition to the model considered in Kimmerle et al. (2017), we allow for rotations of the crane and include damping of the trolley and moments of inertia as well. We derive a fully coupled system of ordinary differential equations (ODE), representing the trolley and load (modelled as a pendulum), and partial differential equations (P...    »
 
Department:
Fakultät für Luft- und Raumfahrttechnik 
Institute:
LRT 1 - Institut für Mathematik und Rechneranwendung 
Chair:
Gerdts, Matthias 
Open Access yes or no?:
Ja / Yes