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Application of the Total Least Squares Estimation Method for an Aircraft Aerodynamic Model Identification

Authors: Foughali Khaled, Zaouche Mohamed, Amini Mohamed, Aitkaid Souhila, Bouchiha Nihad Sarah


The aerodynamic coefficients are important in the evaluation of an aircraft performance and stability-control characteristics. These coefficients also can be used in the automatic flight control systems and mathematical model of flight simulator. The study of the aerodynamic aspect of flying systems is a reserved domain and inaccessible for the developers. Doing tests in a wind tunnel to extract aerodynamic forces and moments requires a specific and expensive means. Besides, the glaring lack of published documentation in this field of study makes the aerodynamic coefficients determination complicated. This work is devoted to the identification of an aerodynamic model, by using an aircraft in virtual simulated environment. We deal with the identification of the system, we present an environment framework based on Software In the Loop (SIL) methodology and we use MicrosoftTM Flight Simulator (FS-2004) as the environment for plane simulation. We propose The Total Least Squares Estimation technique (TLSE) to identify the aerodynamic parameters, which are unknown, variable, classified and used in the expression of the piloting law. In this paper, we define each aerodynamic coefficient as the mean of its numerical values. All other variations are considered as modeling uncertainties that will be compensated by the robustness of the piloting control.

Keywords: aircraft aerodynamic model, total least squares estimation, piloting the aircraft, Microsoft Flight Simulator, MQ-1 predator

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[1] R. Jategaonkar, «Flight vehicle system identification: a time domain methodology», American Institute of Aerodynamics and Astronautics, 2006.
[2] V. Klein, and E. Morelli, «Aircraft system identification: theory and practice», American Institute of Aerodynamics and Astronautics, 2006.
[3] M.Laban, «On-Line Aircraft Aerodynamic Model Identification», PHD Dissertation, Technische Universiteit Delf, May 1994.
[4] Gene H. Golub, Charles F. Van Loan, «Matrix computations», 4th Edition, The Johns Hopkins University Press Baltimore, chap. 8, 2013.
[5] Jean-Luc Boiffier: « The dynamics of flight: The equations », John Wiley and Sons,pp. 92, 1998.
[6] M. Zaouche, A. Beloula, R. louali, S. Bouaziz, M. Hamerlain «Adaptive differentiators via second order sliding mode for a fixed wing aircraft», Computer Modeling in Engineering and Sciences, Vol.104, No.3, 2015.
[7] M. Zaouche, « Identification et commande robust d’un engine aérodynamique Volant à 03 axes», Thèse doctorat, Ecole Militaire Polytechnique, Algiers, 2015.
[8] Jan Roskam, «Airplane flight dynamics and automatic flight controls, part I», DARcorporation, 2001, chap. 3.
[9] John D. Anderson «Aircraft performance and design», McGraw-Hill, 1999, pp. 57–70.
[10] Ivan Markovsky, Sabine Van Huffel, «Overview of total least-squares methods», Signal Processing, Science direct, 2007.
[11] Sabine Van Huffel, JoosVandewell, «Analysis and properties of the generalized total least when some or all columns squares problem, In A are subject to error», SIAM J. Matrix Anal. Appl.,Vol. 10, No. 3, pp. 294-315, July 1989.
[12] D. Allerton, «Principles of flight simulation», Aerospace series, Wiley, chap.3, 2004.
[13] E. Torenbeek, H. Wittenberg, «Flight physics: Essentials of Aeronautical Disciplines and Technology, with Historical Notes», Springer, chap. 4, 2002.
[14] R.C. Nelson, «Flight stability and automatic control», McGraw-Hill Book Company, 1989, pp. 34-111.
[15] S.M. Calhoun, «Six degree-of-freedom modeling of an uninhabited aerial vehical», Master thesis, Russ college of engineering and technology of Ohio University, 2006.
[16] Arthur Gelb, «Applied optimal estimation», Massachusetts Institute of Technology, Cambridge~Massachusetts, and London, England, chap.2, 2001.
[17] H. Muhammad, H. P.Thien, T. Mulyanto, «Total Least Squares Estimation of Aerodynamic Parameter of Micro Coaxial Helicopter from Flight Data», International Journal of Basic & Applied Sciences IJBAS-IJENS Vol: 12 No: 02, 2012.
[18] J. C. Hoff, «Initial evaluation of the modified step-wise regression procedure to estimate aircraft stability and control parameters from flight test data», College of Aeronautics Reports, Cranfield University, BedfordshireMK43 0AL, UK, 1993.
[19] A.Jacek Goszczyński, «Practical aspects of identification of the aerodynamic characteristics», Journal of theoretical and applied mechanics 44, 1, pp. 31-50, Warsaw 2006.
[20] P. Dowson, “FSUIPC: Application interfacing module for Microsoft Flight Simulator”, August 30 2012, Available online at: 2012.
[21] Zaouche Mohammed, Amini Mohammed, Foughali Khaled, Hamissi Aicha, Aktouf Mohand Arezki, Boureghda Ilyes, “Application of the Piloting Law Based on Adaptive Differentiators via Second Order Sliding Mode for a Fixed Wing Aircraft”, World Academy of Science, Engineering and Technology, International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering Vol:10, No:6,pp.998-1008, 2016.