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Minimization of the Energy Consumption of an Aircraft

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Proceedings of the 4th International Conference on Electrical Engineering and Control Applications (ICEECA 2019)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 682))

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Abstract

In this article, we studied a problem of minimizing an aircraft energy flow, the model used is obtained from the fundamental principle of dynamics. We solved this problem with the method of relaxation coupled with the method of shooting.

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References

  1. Efstathios Bakolas-Panagiotis Siotras (2013) Optimal synthesis of the Zermelo-Markov-Dubins, problem in a constant drift field, J Opt Theory Appl 156:469–492 (Springer)

    Google Scholar 

  2. Pontryagin et al L (1974) Mathematical theory of optimal processes. Mir, Moscou

    Google Scholar 

  3. Lee EB, Markus L (1967) Foundations of optimal control theory. The SIAM series in applied mathematics. Wiley, New-York, London-Sydney

    Google Scholar 

  4. Hagelauer P, Mora Camino F (2014) A soft dynamic programming approach for on-line aircraft 4D-trajectory optimization. LAAS, Toulouse

    Google Scholar 

  5. Titouche S, Spiteri P, Messine F, Aidene M (2015) Optimal control of a large thermic. J Control Syst 25:50–58

    Google Scholar 

  6. Sethi SP, Thompson GL (2000) Optimal control theory: applications to management science and economics, 2nd edn. Springer, Berlin, pp 504

    Google Scholar 

  7. Demim F, Nemra A, Louadj K (2016) Solution of an optimal control problem of the robot with Bellman Principle’s. In: Conférence Internationale en Sciences et Technologies Electriques, October 26–28, CISTEM’16, Morocco, Marakech

    Google Scholar 

  8. Demim F, Nemra A, Louadj K, Hamelain M (2018) Simultaneous localization, mapping, and path planning for unmanned vehicle using optimal control. Adv Mech Eng 10(1):1–25

    Google Scholar 

  9. Hull DG (2003) Optimal control theory for applications. Springer, New York

    Book  Google Scholar 

  10. Sethi SP, Thompsonn GL (2000) Optimal control theory, applications to management science and economics, 2nd edn

    Google Scholar 

  11. Sager S, Bock HG, Reinelt G (2009) Direct methods with maximal lower bound for mixed-integer optimal control problems. Math Program Ser A 118:109–149

    Article  MathSciNet  Google Scholar 

  12. Ternovskii VV, Khapaev MM (2008) Direct numerical method for solving optimal control problems. Doklady Math 77(3):428431

    Article  MathSciNet  Google Scholar 

  13. Trelat E (2005) Contrôle optimal: théorie et applications. Vuibert, collection Mathématiques Concrètes, France

    Google Scholar 

  14. Ortega JM, Rheinboldt WC (1970) Iterative solution of nonlinear equations in several variables. Academic Press, New York

    Google Scholar 

  15. Demim F, Louadj K, Aidene M, Nemra A (2016) Solution of an optimal control problem with vector control using relaxation method. Autom Control Syst Eng J 16(2) (ISSN 1687-4811, ICGST LLC, Delaware, USA)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Laboratoire de Conception et Conduite des systèmes de Production, University of Tizi Ouzou (UMMTO), Tizi-Ouzou, Algeria

    Abbes Lounis, Kahina Louadj & Mohamed Aidene

Authors
  1. Abbes Lounis
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  2. Kahina Louadj
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  3. Mohamed Aidene
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Corresponding author

Correspondence to Abbes Lounis .

Editor information

Editors and Affiliations

  1. Faculty of Sciences and Technology, University Abbes Laghrour Khenchela, Khenchela, Algeria

    Sofiane Bououden

  2. University of Evry, IBISC, University of Paris-Saclay, Evry, France

    Mohammed Chadli

  3. Department of Electronics, University of Frères Mentouri Constantine 1, Constantine, Algeria

    Salim Ziani

  4. Faculty of Electrical Engineering and Computer Science, VŠB TU Ostrava, Ostrava, Czech Republic

    Ivan Zelinka

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Lounis, A., Louadj, K., Aidene, M. (2021). Minimization of the Energy Consumption of an Aircraft. In: Bououden, S., Chadli, M., Ziani, S., Zelinka, I. (eds) Proceedings of the 4th International Conference on Electrical Engineering and Control Applications. ICEECA 2019. Lecture Notes in Electrical Engineering, vol 682. Springer, Singapore. https://doi.org/10.1007/978-981-15-6403-1_37

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