Skip to main content
SpringerLink
Log in

Aircraft Cruise Altitude and Speed Profile Optimization in a Real Atmosphere

  • NONLINEAR SYSTEMS
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

This paper considers subsonic turbojet aircraft fuel consumption minimization problem during cruise phase, assuming fixed time of arrival. The problem takes into account real atmosphere data. We utilize tailwind/headwind component values at various flight levels, as well as air temperatures and atmospheric pressures at various altitudes. The solution to the altitude and speed flight profile optimization problem is through constrained coordinate descent method. The paper considers optimizing the fuel consumption of a medium-haul aircraft during the cruise phase using sample data set on temperature, pressure, and wind speed. The proposed approach achieves a decrease in fuel consumption of 1.2% when optimizing with regard to real atmosphere.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

REFERENCES

  1. Alexandrov, V.A., Zybin, E.Y., Kosyanchuk, V.V., Selvesyuk, N.I., Tremba, A.A., and Khlebnikov, M.V., Optimization of the Altitude and Speed Profile of the Aircraft Cruise with Fixed Arrival Time, Autom. Remote Control, 2021, vol. 82, no. 7, pp. 1169–1182.

    Article  MATH  Google Scholar 

  2. Gubareva, E.A. and Moszhorina, T.Yu., Optimization of a Flight Program of a Subsonic Passenger Aircraft in Cruise Phase, Inzh. Zh.: Nauka i Innovatsii, 2014, no. 12(36).

  3. Golubeva, A.A., Grigorov, P.Yu., and Kulanov, N.V., Modern Methodology for Solving the Problem of Vertical Navigation of Civilian and Military Transport Aviation, XII Multiconf. po Problemam Upravleniya (MKPU-2019) (12th Multiconf. on Control Problems MKPU-2019), 2019, pp. 32–25.

  4. Sagalakov, A.E. and Filat’ev, A.S., To the Optimization of Trajectories of Aircraft in the Real Atmosphere, Uch. Zap. TsAGI, 2019, vol. 50, no. 4, pp. 31–52.

    Google Scholar 

  5. Saucier, A., Maazoun, W., and Soumis, F., Optimal Speed-Profile Determination for Aircraft Trajectories, Aerosp. Sci. Technol., 2017, vol. 67, pp. 327–342.

    Article  Google Scholar 

  6. Franco, A. and Rivas, D., Optimization of Multiphase Aircraft Trajectories Using Hybrid Optimal Control, Journal of Guidance, Control, and Dynamics, 2015, vol. 38, no. 3, pp. 452–467.

    Article  Google Scholar 

  7. Valenzuela, A. and Rivas, D., Analysis of Along-Track Variable Wind Effects on Optimal Aircraft Trajectory Generation, Journal of Guidance, Control, and Dynamics, 2016, vol. 39, no. 9, pp. 2148–2155.

    Article  Google Scholar 

  8. Moszhorina, T.Yu. and Gubareva, E.A., Modeling the Impact of Atmospheric Conditions on the Results of Optimization of a Flight Program of a Subsonic Passenger Aircraft, Math. Modelirovanie i Chislennye Metody, 2014, no. 3, pp. 74–88.

  9. Dancila, R.I. and Botez, R.M., New Atmospheric Data Model for Constant Altitude Accelerated Flight Performance Prediction Calculations and Flight Trajectory Optimization Algorithms, Proc. of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2021, vol. 235(4), pp. 405–426.

    Article  Google Scholar 

  10. Takeichi, N., Adaptive Prediction of Flight Time Uncertainty for Ground-Based 4D Trajectory Management, Transportation Research, Part C: Emerging Technologies, 2018, vol. 95, pp. 335–345.

    Article  Google Scholar 

  11. Bartel, M. and Young, T.M., Simplified Thrust and Fuel Consumption Models for Modern Two-Shaft Turbofan Engines, Journal of Aircraft, 2008, no. 45(4), pp. 1450–1456.

  12. Grigorov, P.Yu. and Kulanov, N.V., Using the Conception of Dynamical Inverse Problems in Problems of Vertical Navigation, J. Comput. Syst. Sci. Int., 2016, vol. 55, is. 3, pp. 458–468.

  13. Hull, D.G., Fundamentals of Airplane Flight Mechanics, Berlin: Springer-Verlag, 2007.

    MATH  Google Scholar 

  14. Polyak, B.T., Vvedenie v optimizatsiyu (Introduction to Optimization), Moscow: LENAND, 2014.

  15. GOST (State Standard) 4401-81: Standard Atmosphere. Parameters, 2004.

Download references

Funding

The research was partially financially supported by Russian Science Foundation (project no. 21-71-30005), https://rscf.ru/en/project/21-71-30005/.

Author information

Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    V. A. Alexandrov, E. A. Stefanyuk, A. A. Tremba & M. V. Khlebnikov

  2. State Research Institute of Aviation Systems, Moscow, Russia

    E. Yu. Zybin, V. V. Kosyanchuk & N. I. Selvesyuk

  3. Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Russia

    E. A. Stefanyuk, A. A. Tremba & M. V. Khlebnikov

Authors
  1. V. A. Alexandrov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. Yu. Zybin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. V. Kosyanchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. N. I. Selvesyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. E. A. Stefanyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. A. A. Tremba
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. M. V. Khlebnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to V. A. Alexandrov, E. Yu. Zybin, V. V. Kosyanchuk, N. I. Selvesyuk, E. A. Stefanyuk, A. A. Tremba or M. V. Khlebnikov.

Additional information

This paper was recommended for publication by A.A. Galyaev, a member of the Editorial Board

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alexandrov, V.A., Zybin, E.Y., Kosyanchuk, V.V. et al. Aircraft Cruise Altitude and Speed Profile Optimization in a Real Atmosphere. Autom Remote Control 84, 327–336 (2023). https://doi.org/10.1134/S0005117923040021

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117923040021

Keywords:

Search

Navigation