Constraints in the Problem of Finding Optimal Trajectories for a Supersonic Non-Maneuverable Aircraft

The influence of phase and other constraints on the method of searching for the trajectories of a civil supersonic aircraft that are optimal in terms of fuel consumption is considered. Based on the solutions found by the dynamic programming method, which take into account the numerous conditions tha...

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Vydáno v:Mechanics of solids Ročník 58; číslo 7; s. 2586 - 2594
Hlavní autoři: Kumakshev, S. A., Shmatkov, A. M.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Moscow Pleiades Publishing 01.12.2023
Témata:
Classical Mechanics
Physics
Physics and Astronomy
optimal trajectory
maximum principle
dynamic programming method
supersonic aircraft
phase constraint
ISSN:0025-6544, 1934-7936
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Shrnutí:The influence of phase and other constraints on the method of searching for the trajectories of a civil supersonic aircraft that are optimal in terms of fuel consumption is considered. Based on the solutions found by the dynamic programming method, which take into account the numerous conditions that must be satisfied by the flight altitude, pitch angle, normal overload, aircraft speed, engine thrust, etc., it is shown that almost all of these conditions can be ignored during the initial stage of calculations, since these constraints do not affect the optimal solutions. Therefore, one can first apply the maximum principle and use the dynamic programming method only in those cases where a sizeable part of the constraints turns out to be significant.
ISSN:0025-6544
1934-7936
DOI:10.3103/S0025654423070130