Mathematical modeling of a control system for small fixed-wing aircraft with non-standard aerodynamic surfaces
https://doi.org/10.22405/2226-8383-2025-26-1-204-217
Abstract
This title describes the development of a mathematical control system for a small fixedwing aircraft with unconventional aerodynamic surfaces. The research process involved an
analysis of the complex factors influencing the dynamics of aircraft, represented by a set of differential equations. The study focused on identifying and selecting the parameters necessary for creating a mathematical model of a non-standard control system. This system is designed to generate and deliver commands to actuators responsible for the aerodynamic surfaces, which are arranged in a unique configuration. The developed mathematical model incorporates the control of innovative, domestically produced brushless electric motors, taking into account their specific technological characteristics. The efficiency of the mathematical model was validated in the MATLAB software environment using the Simulink toolbox, considering various operational conditions. The culmination of the work was the experimental testing of the control system and the mathematical model on a physical prototype, enabling the control of unmanned aerial vehicles with innovative, non-standard aerodynamic configurations.
About the Authors
Mikhail Yuryevich Modenov
Tula Mechatronic Systems LLC
Russian Federation
Russian Federation
general director
Alexander Nikolaevich Chukanov
Tula State Lev Tolstoy Pedagogical University
Russian Federation
Russian Federation
doctor of technical sciences
Evgeny Vladimirovich Tsoi
Tula State Lev Tolstoy Pedagogical University
Russian Federation
Russian Federation
senior lecturer
References
1. Alaluev, R.V., Ladonkin, A.V., Malyutin, D.M., Matveev, V.V., Mashnin, M.N., Paramonov, P.P., Pogorelov, M.G., Raspopov, V.Ya., Sabo, Yu.I., Telukhin, S.V., Tovkach, S.E., Shvedov, A.P., Shukalov, A.V. 2011, “Microsystems of orientation of unmanned aerial vehicles”, Edited by V.Ya. Raspopov, Moscow: Mashinostroenie Publ., 184 p.
2. Besekersky, V.A., Popov, E.P. 2004, “Theory of automatic control systems”, Moscow - 4th ed.,revised and enlarged - St. Petersburg: Profession, 752 p.
3. Branets, V.N., Shmyglevsky, I.P. 1992, “Introduction to the Theory of Strapdown Inertial Navigation Systems”, Moscow: Nauka, 280 p.
4. Zhuravlev, D.O., Zau, H.N. 2017, “Evolution of control systems of unmanned aerial vehicles: from the emergence to the present day”, Achievements and prospects of modern science. Proceedings of the international (correspondence) scientific and practical conference (Astana, Kazakhstan. 07.02.2017). Scientific and Publishing Center “World of Science” - Astana, Kazakhstan. pp. 57–87.
5. Matveev, V.V., Raspopov, V.Ya. 2009, “Fundamentals of constructing strapdown inertial navigation systems”, St. Petersburg JSC “Concern “TsNII Elektropribor””, 280 p.
6. Markelov, M.K., Ishkov, A.S., Novichkov, D.A., Borisov, N.A. 2022, “An example of the implementation of the radio-electronic system of an unmanned aerial vehicle”, Vestnik of Penza State University. Iss. 4, pp. 96–100.
7. Jordan, J.W. 1969, “An Accurate Strapdown Direction Cosine Algorithm”, Jordan, J. W. NASATN-D-5384, 80 p.
8. Paul G. Savage. 2010, “Coning Algorithm Design by Explicit Frequency Shaping”, Journal of Guidance Control and Dynamics, Vol. 33, № 4. pp. 1123–1132.
9. Savage, P. G. 1998, “Strapdown Inertial Navigation System Integration Algorithm Design Part 1-Attitude Algorithms”, Journal of Guidance Control, and Dynamics, Vol. 21, No. 1. P. 19–28.
10. Kelly M. Roscoe. 2001, “Equivalency Between Strapdown Inertial Navigation Coning and Sculling Integrals”. Algorithms, Journal of Guidance Control, and Dynamics. Vol. 24.No.2. p. 201-205.
11. Modenov, M.Yu. 2020, “Peripheral unit of the precision positioning system for converting SCVT signals”, In: Modern technologies in control, automation and information processing problems. Collection of proceedings of the XXIX International Scientific and Technical Conference. Moscow, pp. 88-89.
12. Moiseev, V.S. 2013, “Applied Theory of Control of Unmanned Aerial Vehicles”, M. – Kazan: State Budgetary Institution “Republican Center for Monitoring the Quality of Education” (Series “Modern Applied Mathematics and Computer Science”), 768 p.
13. Raspopov, V.Ya. 2010, “Microsystem avionics: study guide”, Tula: Grif and K, 248 p.
14. Raspopov, V.Ya., Malyutin, D.M., Alaluev R.V., Pogorelov M.G., Shvedov A.P. 2010, “Orientation systems of UAVs”, Handbook. Engineering journal. State Educational Institution of Higher Professional Education “Tula State University”, Issue: 11 (164), pp. 51-56.
15. Chernykh, I. V. 2008, “Modeling of electrical devices in MATLAB, SimPowerSystems and Simulink”, M.: DMK Press; St. Petersburg: Piter, 288 p.
16. Chukanov, A.N., Modenov, M.Yu., Tsoi, E.V. 2022, “Design, debugging and manufacturing of a hardware-software complex board”, Information technologies in control, automation and mechatronics. Coll. scientific. art. of the 4-th International STC. Responsible. editor M.S. Razumov. Kursk, pp. 205-209.
Review
For citations:
Modenov M.Yu., Chukanov A.N., Tsoi E.V. Mathematical modeling of a control system for small fixed-wing aircraft with non-standard aerodynamic surfaces. Chebyshevskii Sbornik. 2025;26(1):204-217. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-1-204-217
Views:
22
Email this article 