Optimal periodic trajectories of aircraft with singular control

G. Sachs; K. Lesch

doi:10.1016/b978-0-08-041263-4.50019-1

Optimal periodic trajectories of aircraft with singular control

G. Sachs, K. Lesch

TUM Emeriti of Excellence

Technical University of Munich

Research output: Contribution to conference › Paper › peer-review

Abstract

For minimizing fuel consumption in aircraft cruise, it is shown that optimal periodic trajectories with singular arcs for thrust control exist. An analytical treatment is presented for dealing with the singular control problem, and the resulting optimality conditions are derived. It is shown which is the form of optimal trajectories and which amount of reduction in fuel consumption can be achieved. Furthermore, the reason for the existence of a singular thrust arc is considered and it is shown which flight mechanics factor is favouring such a type of control.

Original language	English
Pages	87-92
Number of pages	6
DOIs	https://doi.org/10.1016/b978-0-08-041263-4.50019-1
State	Published - 1991
Event	Proceedings of the 11th Triennial World Congress of the International Federation of Automatic Control - Tallinn, USSR Duration: 13 Aug 1990 → 17 Aug 1990

Conference

Conference	Proceedings of the 11th Triennial World Congress of the International Federation of Automatic Control
City	Tallinn, USSR
Period	13/08/90 → 17/08/90

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10.1016/b978-0-08-041263-4.50019-1

Cite this

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title = "Optimal periodic trajectories of aircraft with singular control",

abstract = "For minimizing fuel consumption in aircraft cruise, it is shown that optimal periodic trajectories with singular arcs for thrust control exist. An analytical treatment is presented for dealing with the singular control problem, and the resulting optimality conditions are derived. It is shown which is the form of optimal trajectories and which amount of reduction in fuel consumption can be achieved. Furthermore, the reason for the existence of a singular thrust arc is considered and it is shown which flight mechanics factor is favouring such a type of control.",

author = "G. Sachs and K. Lesch",

year = "1991",

doi = "10.1016/b978-0-08-041263-4.50019-1",

language = "English",

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AU - Lesch, K.

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AB - For minimizing fuel consumption in aircraft cruise, it is shown that optimal periodic trajectories with singular arcs for thrust control exist. An analytical treatment is presented for dealing with the singular control problem, and the resulting optimality conditions are derived. It is shown which is the form of optimal trajectories and which amount of reduction in fuel consumption can be achieved. Furthermore, the reason for the existence of a singular thrust arc is considered and it is shown which flight mechanics factor is favouring such a type of control.

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U2 - 10.1016/b978-0-08-041263-4.50019-1

DO - 10.1016/b978-0-08-041263-4.50019-1

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EP - 92

T2 - Proceedings of the 11th Triennial World Congress of the International Federation of Automatic Control

Y2 - 13 August 1990 through 17 August 1990

ER -

Optimal periodic trajectories of aircraft with singular control

Abstract

Conference

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