DocumentCode
646226
Title
A simplified Goddard problem in the presence of a nonlinear media resistance and a bounded thrust
Author
Dmitruk, Andrei ; Samylovskiy, Ivan
Author_Institution
Central Econ. & Math. Inst., Moscow, Russia
fYear
2013
fDate
17-19 July 2013
Firstpage
341
Lastpage
346
Abstract
We consider a problem of maximization of the distance traveled by a material point in the presence of a nonlinear friction under a bounded thrust and fuel expenditure. Using the maximum principle we obtain the form of optimal control and establish conditions under which it contains a singular subarc. This problem seems to be the simplest one having a mechanical sense in which singular subarcs appear in a nontrivial way.
Keywords
maximum principle; optimisation; bounded thrust; fuel expenditure; material point; maximization; maximum principle; nonlinear friction; nonlinear media resistance; optimal control; simplified Goddard problem; singular subarcs; Bang-bang control; Equations; Friction; Fuels; Trajectory; Vehicles;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2013 European
Conference_Location
Zurich
Type
conf
Filename
6669634
Link To Document