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TsAGI Science Journal

ISSN Imprimir: 1948-2590
ISSN En Línea: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.2019031677
pages 387-410

TO AIRCRAFT TRAJECTORY OPTIMIZATION IN THE REAL ATMOSPHERE

Alexander Eduardovich Sagalakov
Central Aerohydrodynamic Institute (TsAGI), 1, Zhukovsky Str., Zhukovsky, Moscow Region, 140180, Russian Federation
Aleksandr Sergeevich Filatyev
Central Aerohydrodynamic Institute (TsAGI), 1, Zhukovsky Str., Zhukovsky, Moscow Region, 140180, Russian Federation

SINOPSIS

The minimum-fuel aircraft cruise optimization problem under real wind conditions is considered. An analytical solution based on Pontryagin's maximum principle for the linearized wind model is obtained. A trajectory optimization algorithm based on the continuation method for arbitrary spatial wind distribution is developed. It is shown that under real atmospheric conditions the optimal solutions allow obtaining considerable fuel savings even for closed routes. An example of applying the developed algorithm to a long-haul airplane on specific routes is given. Attention is paid to the effect of the wind factor on the choice of the optimal aircraft configuration and route logistics.

REFERENCIAS

  1. Cavcar, M., Bregeut Range Equation, J. Aircraft, 43(5):1542-1544, 2006.

  2. Ostoslavskii, I.V. and Strazheva, I.V., Flight Dynamics: Aircraft Trajectories, Moscow: Mashinostroe- nie, 1969 (in Russian).

  3. Bushgens, G.S., Ed., Aerodynamics and Flight Dynamics of Long-Range Airplanes, Moskva-Pekin: Izd. Otdel TsAGI, Avia-Izdatel'stvo KNR, 1995 (in Russian).

  4. Kovalev, I.E., Shustov, A.V., andBuzuluk, V.I., Analytical Definition of Cruising Range for the Trunk Aircraft in View of Flight Level, Aerospace Technol., 3-4:43-47, 2015.

  5. Buzuluk, V.I., Optimization of Motion Trajectories of Spacecraft, Moscow: TsAGI, 2008 (in Russian).

  6. Bryson Jr., A.E. and Ho, Y.-C., Applied Optimal Control, Washington DC: Hemisphere Publishing Corporation, 1975.

  7. Bijlsma, S.J., Optimal Aircraft Routing in General WindFields, J. Guid. Control Dynam., 32(3):1025-1029, 2009.

  8. Jardin, M.R. and Bryson, A.E., Methods for Computing Minimum-Time Paths in Strong Winds, J. Guid. Control Dynam, 35(1):165-171, 2012.

  9. Marchidan, A. and Bakolas, E., Numerical Techniques for Minimum-Time Routing on Sphere with Realistic Winds, J. Guid. Control Dynam, 39(1):188-193, 2016.

  10. Hok, K.Ng., Shridhar, B., and Grabbe, S., Optimizing Aircraft Trajectories with Multiple Cruise Altitudes in the Presence of Winds, J. Aerosp. Inform. Syst., 11(1):35-46,2014.

  11. Rivas, D., Lopez-Garcia, O., Esteban, S., and Gallo, E., An Analysis of Maximum Range Cruise Including Wind Effects, Aerosp. Sci. Technol, 14:38-48, 2010.

  12. Franco, A. and Rivas, D., Analysis of Optimal Aircraft Cruise with Fixed Arrival Time Including Wind Effects, Aerosp. Sci. Technol, 32(1):212-222, 2014.

  13. Franco, A. and Rivas, D., Optimization of Multiphase Aircraft Trajectories Using Hybrid Optimal Control, J Guid. Control Dynam, 38(3):452-467,2015.

  14. Valenzuela, A. and Rivas, D., Analysis of Along-Track Variable Wind Effects on Optimal Aircraft Trajectory Generation, J. Guid. Control Dynam, 39(9):2149-2156, 2016.

  15. Pontryagin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V., and Mitshenko, E.F., Mathematical Theory of Optimal Processes, 2nd ed., Moscow: Nauka, 1969 (in Russian).

  16. Allgower, E.L. and Georg, K., Introduction to Numerical Continuation Methods (Classics in Applied Mathematics), Philadelphia, PA: Society for Industrial and Applied Mathematics, 2003.

  17. Filatyev, A.S., Thorough Optimization of Branched Ascent Trajectories of Spacecraft in Atmosphere on the Basis of Pontryagin's Maximum Principle, PhD, Central Aerohydrodynamic Institute, 2001 (in Russian).

  18. Shkadov, L.M., Bukhanova, R.S. and Illarionov, V.F., Mechanics of Optimal Spatial Motion of Aircraft in Atmosphere, Moscow: Mashinostroenie, 1972 (in Russian).

  19. Davidenko, D.F., About One New Method of Numerical Solving Systems of Non-Linear Equations, Dokl. Akad. Nauk SSSR, 88(4):601-602, 1953.

  20. Dennis Jr., J.E. and Schnabel, R.B., Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Englewood Cliffs, NJ: Prentice Hall, 1983.

  21. Sachs, G. and da Costa, O., Dynamic Soaring in Altitude Region below Jet Streams, in Proc. of AIAA Guidance, Navigation, and Control Conference and Exhibit, August 1-24, Keystone, CO, 2006.

  22. GOST 4401-81, Standard Atmosphere. Parameters, Moscow: Izd-vo Standartov, 1981.

  23. Press, W.H., Teukolsky, S.A., Vetterling, W.T., and Flannery, B.P., Numerical Recipes, Cambridge, UK: Cambridge University Press, 2007.

  24. National Oceanic and Atmospheric Association, U.S. Department of Commerce, updated January 3, www.noaa.gov, 2018.


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