St. Petersburg, Russian Federation
graduate student
Emperor Alexander I St. Petersburg State Transport University (“Information and Computing Systems” Department, Postgraduate Student)
St. Petersburg, Russian Federation
With the expansion of the scope of unmanned aerial vehicles, reliable forecasting of their behavior at the design stage is becoming an increasingly urgent task. This problem can be solved using appropriate modeling methods. Purpose: to identify and compare the methods used in simulating the flight characteristics of unmanned aerial vehicles. Results: a model of spatial motion with six degrees of freedom (6DoF, Six Degrees of Freedom) was considered, a comparison was made of the main methods used to simulate flight characteristics (Euler’s method, the classic Runge — Kutta fourth-order method and the adaptive Runge — Kutta — Felberg scheme), route planning algorithms (A*, RRT*, genetic particle swarm algorithm and method. It has been established that for most research problems, the Runge — Kutta method of the fourth order turns out to be a reasonable compromise in accuracy and computational cost, while adaptive schemes are preferred in modes with different-scale dynamics. Recommendations are formulated on the selection of the method depending on the class of the problem and the permissible error. Practical significance: the results of the work are applicable to the creation of flight simulation software and the selection of a computing core for a specific class of unmanned aerial vehicles
unmanned aerial vehicle, mathematical modeling, flight dynamics, numerical methods, Runge — Kutta method, trajectory optimization, A* algorithm, particle swarm optimization, flight simulation
1. Lebedev A. A., Chernobrovkin L. S. Dinamika poleta bespilotnyh letatel'nyh apparatov: uchebnoe posobie dlya vuzov. 2-e izd., pererab. i dop. M.: Mashinostroenie, 1973. 616 s.
2. Upravlenie i navedenie bespilotnyh manevrennyh letatel'nyh apparatov na osnove sovremennyh informacionnyh tehnologiy / pod red. M. N. Krasil'schikova i G. G. Sebryakova. M.: Fizmatlit, 2003. 280 s.
3. Byushgens G. S., Studnev R. V. Aerodinamika samoleta. Dinamika prodol'nogo i bokovogo dvizheniya. M.: Mashinostroenie, 1979. 352 s.
4. Bahvalov N. S., Zhidkov N. P., Kobel'kov G. M. Chislennye metody: uchebnik. 12-e izd. M.: Laboratoriya znaniy, 2024. 639 s.
5. Stevens B. L., Lewis F. L., Johnson E. N. Aircraft Control and Simulation: Dynamics, Controls Design, and Autonomous Systems. Third Edition. Hoboken (NJ): Wiley-Blackwell, 2015. 768 p.
6. Etkin B., Reid L. D. Dynamics of Flight: Stability and Control. Third Edition. Hoboken (NJ): Wiley, 1996. 400 p.
7. Mhitaryan A. M. Aerodinamika: uchebnik dlya vuzov. 2-e izd., pererab. i dop. M.: KNORUS, 2012. 448 s.
8. Kim D. P. Teoriya avtomaticheskogo upravleniya: uchebnik dlya vuzov. T. 1. Lineynye sistemy. 2-e izd., ispr. i dop. M.: Fizmatlit, 2016. 312 s.
9. Hayrer E., Nersett S., Vanner G. Reshenie obyknovennyh differencial'nyh uravneniy. Nezhestkie zadachi / per. s angl. pod red. S. S. Filippova. M.: Mir, 1990. 512 s.
10. Bodner V. A. Sistemy upravleniya letatel'nymi apparatami: uchebnik dlya vuzov. M.: Mashinostroenie, 1973. 504 s.
11. Karpenko A.P. Sovremennye algoritmy poiskovoy optimizacii. Algoritmy, vdohnovlennye prirodoy: uchebnoe posobie. 2-e izd. M.: Izd-vo MGTU im. N. E. Baumana, 2017. 446 s.
12. Algoritmy: postroenie i analiz. Tret'e izdanie = Introduction to Algorithms. Third Edition / Kormen T. H. [i dr.]; per. s angl. i red. I. V. Krasikova. M.: Vil'yams, 2013. 1328 s.
13. Karaman S., Frazzoli E. Sampling-Based Algorithms for Optimal Motion Planning // International Journal of Robotics Research. 2011. Vol. 30, no. 7. Pp. 846–894. DOI:https://doi.org/10.1177/0278364911406761
14. LaValle S. M. Planning Algorithms. Cambridge: Cambridge University Press, 2006. 844 p.
15. Gladkov L. A., Kureychik V. V., Kureychik V. M. Geneticheskie algoritmy: uchebnik. 2-e izd., ispr. i dop. M.: Fizmatlit, 2010. 368 s.
16. Kennedy J., Eberhart R. Particle Swarm Optimization // Proceedings of ICNN ‘95 — International Conference on Neural Networks (Perth, Australia, 27 November — 1 December 1995). Vol. 4. Institute of Electrical and Electronics Engineers, 1995. Pp. 1942–1948. DOI:https://doi.org/10.1109/ICNN.1995.488968
17. Beard R. W., McLain T. W. Small Unmanned Aircraft: Theory and Practice. Second Edition. Princeton (NJ): Princeton University Press, 2012. 320 p.
