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Quadcopter: dynamics and control

Authors: Lysukho G.V., Maslennikov A.L.
Published in issue: #5(46)/2020
DOI: 10.18698/2541-8009-2020-5-604


Category: Aviation and Rocket-Space Engineering | Chapter: Aircraft Dynamics, Ballistics, Motion Control

Keywords: UAV, multirotor UAV, quadcopter, mathematical model, control, dynamics, flight dynamics, motors
Published: 08.05.2020

Development of multirotor UAVs and quadcopters as a special case make it possible to use in different areas of human life, not only for effective photo and video. In more serious tasks, for instance, in target tracking or in trajectory tracking by UAV, the control system should obey to high requirements, especially in accuracy and response rate. Design of such control demand the knowledge of quadcopter flight and control dynamics and also the adequate mathematical model for testing and debugging. In this paper flight and control dynamics of the quadcopter is discussed, and full nonlinear dynamical model including motors dynamics is presented.


References

[1] Tsokurova I.G., Denisov A.N., Samoylenko S.A., et al. Application of unmanned aircraft like DJI INSPIRE 1V 2.0 quadcopter at people search on site. Nauka, tekhnika i obrazovanie, 2018, no. 11, pp. 43–46 (in Russ.).

[2] Zverev A.P., Gomonay M.V. [Application of unmanned aircraft – one of the ways to search people in the woods]. Sb. mat. XIII Mezhd. nauch.-prakt. konf., posvyashchennoy Godu kul’tury bezopasnosti [Proc. XIII Int. Sci.-Pract. Conf., dedicated to Year of Culture safety], 2018, pp. 366–368 (in Russ.).

[3] Lamkov I.M., Chermoshentsev A.Yu., Arbuzov S.A., et al. The study of the possible application of quadrocopter for shooting the coastline of the flooded quarry with the purpose of state cadastral registration. Vestnik SGUGiT [Vestnik of SSUGT], 2016, no. 4, pp. 200–209 (in Russ.).

[4] Cherkasov R.A., Il’ina T.A. Possibilities of using quadrocopters for transportation of cargo in logistics. Vestnik Dmitrovgradskogo inzhenerno-tekhnologicheskogo instituta, 2019, no. 1, pp. 100–107 (in Russ.).

[5] Minin I.V. Fire-prevention monitoring of petrochemical industry objects using small autonomous aerial vehicles. Fundamental’nye issledovaniya [Fundamental research], 2015, no. 10-3, pp. 503–506 (in Russ.).

[6] Beard R.W., McLain T.W. Small unmanned aircraft: theory and practice. Princeton University Press, 2012. (Russ. ed.: Malye bespilotnye letatel’nye apparaty: teoriya i praktika. Moscow, Tekhnosfera Publ., 2015.)

[7] Krasovskiy A.N., Suslova O.A. On a mathematical model of the controlled motion of a drone-quadrocopter. Agrarnyy vestnik Urala [Agrarian Bulletin of the Urals], 2016, no. 4, pp. 55–59 (in Russ.).

[8] Shilov K.E. Development of automated control system for multirotor unmanned aircraft. Trudy moskovskogo fiziko-tekhnicheskogo instituta, 2014, no. 4, pp. 139–152 (in Russ.).

[9] Kanatnikov A.N. The plane motion control of the quadrocopter. Matematika i matematicheskoe modelirovanie [Mathematics and Mathematical Modelling], 2015, no. 2, pp. 23–36 (in Russ.).

[10] Gen K.K., Chulin N.A. Stabilization algorithms for automatic control of the trajectory movement of quadcopter. Nauka i obrazovanie: nauchnoe izdanie [Science and Education: Scientific Publication], 2015, no. 5, pp. 218–235. URL: http://engineering-science.ru/doc/771076.html (in Russ.).

[11] Karpunin A.A., Titkov I.P. Evaluation of the influence of cross-connections accounting in the simplified mathematical model of the quadrotor motion in three-dimensional space. Procedia Comput. Sci., 2019, vol. 150, pp. 663–670. DOI: https://doi.org/10.1016/j.procs.2019.02.040

[12] Erman B.J. A review of quadrotor: an underactuated mechanical system. Annu. Rev. Control, 2018, vol. 46, pp. 165–178. DOI: https://doi.org/10.1016/j.arcontrol.2018.10.009

[13] Samyy bystryy kvadrokopter v mire: mirovoy rekord skorosti [The fastest quadcopter in the world: world speed record]. popmech.ru: website (in Russ.). URL: https://www.popmech.ru/technologies/news-377042-samyy-bystryy-kvadrokopter-v-mire-mirovoy-rekord-skorosti/ (accessed: 02.03.2020).

[14] Solodovnikov V.V., ed. Ustroystva i elementy sistem avtomaticheskogo regulirovaniya. Tekhnicheskaya kibernetika. Kn. 3. Ispolnitel’nye ustroystva i servomekhanizmy [Devices and elements of automated regulation. Vol. 3. Actuators and servo units]. Moscow, Mashinostroenie Publ., 1976 (in Russ.).