Synthesis of the switching control law for a quadrotor autopilot

  • Authors

    • Dmytro Kucherov
    • Olha Sushchenko
    • Alexander Rasstrygin
    • Serhii Zhdanov
    • Andrei Kozub
    https://doi.org/10.14419/ijet.v7i4.21541

    Received date: November 25, 2018

    Accepted date: November 25, 2018

    Published date: April 16, 2026

  • Abstract

    The paper deals with the problem of synthesizing the time-optimal control law by the angular coordinates of an unmanned aerial vehicle with stabilization in the pitch and roll directions. The full mathematical model of the unmanned aerial vehicle is reduced to a system of the first-order differential equations, based on which the optimal control law is constructed. Control action in each plane depends only on the measured coordinates and is calculated in real time. It is believed that the dynamic model, described by a system of differential equations, contains complex roots, which indicate the oscillatory response of the controlled object to the control action. Some properties of the switching line and switching control are also considered in the paper. Some results of simulating the dynamics of the object under examination with a synthesized control law are presented.

  • References

    1. Pounds, P., Hynes, P., Mahony, R., & Roberts, J. (2002, Novem-ber), “Design of a Four-Rotor Aerial Robot”, Proceedings of the Australasian Conference on Robotics and Automation, Auckland, New Zealand, 2002, (Vol. 1, pp. 145 – 150), available online: https://www.researchgate.net/publication/229001549_Design_of_a_four-rotor_aerial_robot, last visit: 26.07.2018.
    2. Castillo, P., Dzul, A., & Lozano, R., (2004), “Real-time stabilization and tracking of a four-rotor mini-rotorcraft”, Proceedings of the IEEE Transactions on Control Systems Technology, Vol. 12, No. 4, pp. 510 – 516, available online: https://ieeexplore.ieee.org/document/1308180/, last visit: 26.07.2018.
    3. Bouabdallah, S., & Siegwart, R., (2005, April), “Backstepping and Sliding-mode Techniques Applied to an Indoor Micro Quadrotor”, Proceedings of the International Conference on Robotics and Auto-mation, 2005 International Conference of (Vol.1, pp. 2259 – 2264) IEEE, available online: https://ieeexplore.ieee.org/document/1570447/, last visit: 26.07.2018.
    4. Babaei, R., & Ehyaei, A.F., (2015), “Robust Backstepping Control of a Quadrotor UAV Using Extended Kalman Bucy Filter”, Interna-tional Journal of Multidisciplinary Engineering in Current Research, 5(16), 2276-2291, available online: https://en.civilica.com/Paper-JR_IJMEC-JR_IJMEC-5-16_006=Robust-Backstepping-Control-of-a-Quadrotor-UAV-Using-Extended-Kalman-Bucy-Filter.html, last visit: 26.07.2018.
    5. Larin, V.B., & Tunik, A.A. (2016), “Synthesis of the Quad-Rotor Flight Control System”, Proceedings of the International Conference Methods and Systems of Navigation and Motion Control (MSNMC). 2016 International Conference of (Vol.1, pp.12-17) IEEE, available online: https://ieeexplore.ieee.org/abstract/document/7783095/, last visit: 26.07.2018.
    6. Noura, H., Susilo, T.B., & Wahyudie, A., (2013), “Robust PID-controller for quad-rotors”, Journal of Unmanned System Technolo-gy, 1: 14  19, available online: https://www.researchgate.net/publication/272550330_Robust_PID_Controller_for_Quadrotors, last visit: 26.07.2018.
    7. Sen Y & Zhong-Sheng W (2017), “Quad-Rotor UAV Control Method Based on PID Control Law”, Proceedings of the Interna-tional Conference on Computer Network, Electronic and Automa-tion (ICCNEA), Xi'an, China, 23  25 September 2017, pp. 418  421, available online: https://ieeexplore.ieee.org/document/8128600/, last visit: 26.07.2018.
    8. Sushchenko OA & Goncharenko VA (2016), “Design of Robust Systems for Stabilization of Unmanned Aerial Vehicle Equipment”, International Journal of Aerospace Engineering, Article ID 6054081, p. 1 – 10, available online: https://doi.org/10.1155/2016/6054081.
    9. Lu, H., Liu, L., Tian, B., et al (2018), “Multivariable Finite Time Attitude Control for Quadrotor UAV. Theory and Experimentation”, IEEE Transactions on Industrial Electronics, Vol. 65, No. 3, pp. 2567 – 2577, available online: https://ieeexplore.ieee.org/document/8010301/, last visit: 26.07.2018.
    10. Athans M & Falb PL, Optimal Control. An Introduction to the Theo-ry and Its Applications, McGraw-Hill Book Company, (1963), pp: 451 – 589.
    11. Kucherov, D.P., (2005), “Synthesis of an adaptive controller for fixed-time control of a spinning body under the presence of bounded noise”, Journal of automation and information science, 37(1), 29-38, available online: http://www.dl.begellhouse.com/ru/journals/2b6239406278e43e,5aa280c9630a07e4,55b990ef5fa0b065.html, last visit: 26.07.2018.
    12. Goldstein H, Classical Mechanics, Addison-Wesley Publishing Company Inc. Reading, Mass, 3ed, (2001), pp: 184 – 232.
  • Downloads

  • How to Cite

    Kucherov, D., Sushchenko, O., Rasstrygin, A., Zhdanov, S., & Kozub, A. (2026). Synthesis of the switching control law for a quadrotor autopilot. International Journal of Engineering and Technology, 7(4), 3065-3069. https://doi.org/10.14419/ijet.v7i4.21541