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A computational method for free time optimal control problems, with application to maximizing the range of an aircraft-like projectile

Published online by Cambridge University Press:  17 February 2009

K. L. Teo ,
G. Jepps ,
E. J. Moore  and
S. Hayes
K. L. Teo
Affiliation:
Department of Industrial and Systems Engineering, National University of Singapore, Kent Ridge, Singapore 0511, Singapore.
G. Jepps
Affiliation:
Weapons Systems Research Laboratory, Defence Science and Technology Organisation, Department of Defence, GPO Box 2151, Adelaide, South Australia 5001, Australia.
E. J. Moore
Affiliation:
Department of Applied Mathematics, University of New South Wales, P. O. Box 1, Kensington, N. S. W. 2033, Australia.
S. Hayes
Affiliation:
Department of Applied Mathematics, University of New South Wales, P. O. Box 1, Kensington, N. S. W. 2033, Australia.
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Abstract

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A class of non-standard optimal control problems is considered. The non-standard feature of these optimal control problems is that they are of neither fixed final time nor of fixed final state. A method of solution is devised which employs a computational algorithm based on control parametrization techniques. The method is applied to the problem of maximizing the range of an aircraft-like gliding projectile with angle of attack control.

Type
Research Article
Information
The ANZIAM Journal , Volume 28 , Issue 3 , January 1987 , pp. 393 - 413
Copyright
Copyright © Australian Mathematical Society 1987

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