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ESTIMATING DOMINANT PARAMETERS OF AIRCRAFT LINEAR DYNAMICAL MODEL VIA LEAST SQUARE METHOD

Year 2021, Volume: 20 Issue: 39, 35 - 56, 28.06.2021

Abstract

Parameter estimation methods are used to create mathematical models for systems with input and output. In this article, the least squares method (LS) for aircraft is proposed. This method is used to write a realistic equation of the mathematical relationship between physical quantities that vary depending on each other. The parameters of the transfer functions formed as a result of the aircraft mathematical model were estimated with the LS method. Thus, the algorithm of the LS method was created and the results obtained in the MATLAB/Simulink program were shared. As a result of the estimated transfer functions, some aerodynamic coefficients are estimated. In addition, the Integral Square Error (ISE) table has been extracted to see the approximation of the LS method to the real data. this table is also created for transfer functions and aerodynamic parameters. Thus, the error rate of the method was observed.

References

  • Blakelock, J.H., (1991), Automatic Control of Aircraft and Missiles, Wiley, 672, New Jersey.
  • Chen, X., Tomizuka, M., (2014). Advanced Control Systems II (Lecture Notes for ME233). University of California, Department of Mechanical Engineering, California.
  • Gupta, A., (2015), Modeling and Control of an Aircraft System, National Institute of Technology Rourkela, M.Sc. Thesis, 66, Odisha.
  • Howe, R.M., (1980), Control of Aircraft Missiles and Space Vehicles (Lecture Notes for Aero 574). University of Michigan, Department of Aerospace Engineering, Michigan.
  • Jategaonkar, R.V., (2006), Flight Vehicle System Identification: A Time Domain Methodology, AIAA (American Institute of Aeronautics & Astronautics), 629, Reston, Virginia.
  • Klein, V., Morelli, E.A., (2006), Aircraft System Identification: Theory and Practise, AIAA (American Institute of Aeronautics & Astronautics), 484, Reston, Virginia.
  • Molugaram, K., Rao, G.S., (2017), Statistical Techniques for Transportation Engineering, Elsevier, 554, Amsterdam, Netherlands.
  • Stevens, B.L., Lewis, F.L., Johnson, E.N., (2016), Aircraft Control and Simulations, Wiley, 749, New Jersey.

EN KÜÇÜK KARELER YÖNTEMİ İLE DOĞRUSAL DİNAMİK UÇAK MODELİNİN DOMİNANT PARAMETRELERİNİN TAHMİN EDİLMESİ

Year 2021, Volume: 20 Issue: 39, 35 - 56, 28.06.2021

Abstract

Girişi ve bu girişe göre çıkışı olan sistemlere matematiksel model oluşturmak için parametre tahmin metodları kullanılmaktadır. Bu makalede, hava aracında kullanılmak üzere tahmin metodu olan en küçük kareler metodu (LS) önerilmektedir. Bu yöntem, birbirine bağlı olarak değişen iki fiziksel büyüklük arasındaki matematiksel bağlantıyı, gerçeğe uygun bir denklem olarak yazmak için kullanılır. LS metodu kullanılarak hava aracı matematiksel modeli neticesinde oluşan transfer fonksiyonlarının parametreleri tahmin edilerek çıkarılmıştır. Böylece LS metodunun algoritması çıkarılmış ve MATLAB/Simulink programında elde edilen sonuçlar paylaşılmıştır. Ayrıca tahmin edilmiş transfer fonksiyonları neticesinde bazı aerodinamik katsayılar tahmin edilmiştir. Son olarak LS metodunun gerçek verilere yaklaşımını görmek için İntegral Kare Hatası (ISE) tablosu çıkarılmıştır. ISE tablosu tahmin edilen transfer fonksiyonları ve aerodinamik katsayılar için oluşturulmuştur. Böylece metodun hata oranı gözlemlenmiştir.

References

  • Blakelock, J.H., (1991), Automatic Control of Aircraft and Missiles, Wiley, 672, New Jersey.
  • Chen, X., Tomizuka, M., (2014). Advanced Control Systems II (Lecture Notes for ME233). University of California, Department of Mechanical Engineering, California.
  • Gupta, A., (2015), Modeling and Control of an Aircraft System, National Institute of Technology Rourkela, M.Sc. Thesis, 66, Odisha.
  • Howe, R.M., (1980), Control of Aircraft Missiles and Space Vehicles (Lecture Notes for Aero 574). University of Michigan, Department of Aerospace Engineering, Michigan.
  • Jategaonkar, R.V., (2006), Flight Vehicle System Identification: A Time Domain Methodology, AIAA (American Institute of Aeronautics & Astronautics), 629, Reston, Virginia.
  • Klein, V., Morelli, E.A., (2006), Aircraft System Identification: Theory and Practise, AIAA (American Institute of Aeronautics & Astronautics), 484, Reston, Virginia.
  • Molugaram, K., Rao, G.S., (2017), Statistical Techniques for Transportation Engineering, Elsevier, 554, Amsterdam, Netherlands.
  • Stevens, B.L., Lewis, F.L., Johnson, E.N., (2016), Aircraft Control and Simulations, Wiley, 749, New Jersey.
There are 8 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Articles
Authors

Mehmet Şahin 0000-0001-9399-8559

Muammer Kalyon 0000-0002-8168-2773

Publication Date June 28, 2021
Submission Date May 7, 2021
Published in Issue Year 2021 Volume: 20 Issue: 39

Cite

APA Şahin, M., & Kalyon, M. (2021). ESTIMATING DOMINANT PARAMETERS OF AIRCRAFT LINEAR DYNAMICAL MODEL VIA LEAST SQUARE METHOD. İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi, 20(39), 35-56.
AMA Şahin M, Kalyon M. ESTIMATING DOMINANT PARAMETERS OF AIRCRAFT LINEAR DYNAMICAL MODEL VIA LEAST SQUARE METHOD. İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi. June 2021;20(39):35-56.
Chicago Şahin, Mehmet, and Muammer Kalyon. “ESTIMATING DOMINANT PARAMETERS OF AIRCRAFT LINEAR DYNAMICAL MODEL VIA LEAST SQUARE METHOD”. İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi 20, no. 39 (June 2021): 35-56.
EndNote Şahin M, Kalyon M (June 1, 2021) ESTIMATING DOMINANT PARAMETERS OF AIRCRAFT LINEAR DYNAMICAL MODEL VIA LEAST SQUARE METHOD. İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi 20 39 35–56.
IEEE M. Şahin and M. Kalyon, “ESTIMATING DOMINANT PARAMETERS OF AIRCRAFT LINEAR DYNAMICAL MODEL VIA LEAST SQUARE METHOD”, İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi, vol. 20, no. 39, pp. 35–56, 2021.
ISNAD Şahin, Mehmet - Kalyon, Muammer. “ESTIMATING DOMINANT PARAMETERS OF AIRCRAFT LINEAR DYNAMICAL MODEL VIA LEAST SQUARE METHOD”. İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi 20/39 (June 2021), 35-56.
JAMA Şahin M, Kalyon M. ESTIMATING DOMINANT PARAMETERS OF AIRCRAFT LINEAR DYNAMICAL MODEL VIA LEAST SQUARE METHOD. İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi. 2021;20:35–56.
MLA Şahin, Mehmet and Muammer Kalyon. “ESTIMATING DOMINANT PARAMETERS OF AIRCRAFT LINEAR DYNAMICAL MODEL VIA LEAST SQUARE METHOD”. İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi, vol. 20, no. 39, 2021, pp. 35-56.
Vancouver Şahin M, Kalyon M. ESTIMATING DOMINANT PARAMETERS OF AIRCRAFT LINEAR DYNAMICAL MODEL VIA LEAST SQUARE METHOD. İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi. 2021;20(39):35-56.