Application of the zero-order numerical method in the problems of parametric optimization in digital PID-regulators of drones
DOI:
https://doi.org/10.20535/mmtu-2019.2-051Keywords:
Numerical methods, Parametric optimization, Ziegler–Nichols method, Digital PID controller, Mathematical modelingAbstract
The article presents the methodology, which consists in the complex application of the Ziegler–Nichols method and zero order numerical methods. The Ziegler–Nichols method allows us to obtain initial conditions which ensure a rapid approximation to the optimum point with the further application of zero-order numerical methods. The calculations confirmed the high efficiency of the proposed method in the same way as using only the Ziegler-Nichols method. In the example, the performance indicator (criterion), which was used to evaluate the quality of the setup, improved by almost 14 times.References
Diakonov, V., & Kruglov, V. (2002). MATLAB. Analysis, identification and modeling of systems [in Russian]. Saint Petersburg: Piter.
Dorf, R. C., & Bishop, R. H. (2011). Modern control systems (12th ed.). Pearson.
Goodwin, G. C., Graebe, S. F., & Salgado, M. E. (2001). Control system design. Prentice Hall.
Kargin, A. A. (2010). Introduction to intelligent machines [in Russian] (Vol. 1). Donetsk: Nord Press.
Larionov, Y. I., Levykin, V. M., & Khazhmuradov, M. A. (2005). Operations research in information systems [in Ukrainian]. Kharkiv: Kompania SMIT.
Lysenko, O. I., Tachinina, O. M., & Alekseeva, I. V. (2018). Algorithm of optimal control of UAV group. Electronics and Control Systems, 2(56), 114–119. https://doi.org/10.18372/1990-5548.56.12945
Lysenko, O. I., Tachynina, O. M., & Alekseeva, I. V. (2017). Mathematical methods of modeling and optimization [in Ukrainian] (Vol. 1). Kyiv: National Aviation University.
Ouissam, B., Jijira, I., & Firsov, S. (2018). Functionally stable motion control of small autonomous aircraft. Synthèse: Revue des Sciences et de la Technologie, 36(1), 74–86. https://www.ajol.info/index.php/srst/article/view/172535/161938
Repnikova, N. D. (2011). The theory of automatic control: the classics and the present [in Ukrainian]. Kyiv: Kyiv Polytechnic Institute.
Romanchenko, I. S., Lysenko, O. I., Chumachenko, S. M., Danyliuk, S. L., Novikov, V. I., Tachynina, O. M.,..., Valuiskyi, S. V. (2016). Models of application of information and telecommunication technologies on the basis of unmanned aviation complexes in emergency situations [in Ukrainian]. Kyiv: National Aviation University.
Tachinina, O. M., & Lysenko, O. I. (2017). Method of path constructing of information robot on the basis of unmanned aerial vehicle. Proсeedings of the National Aviation University, 2017(4), 60–68. http://er.nau.edu.ua:8080/handle/NAU/35609
Yakhno, O. M., Uzonov, A. V., Luhovskoi, A. F., Kovalev, V. A., Pyzhikov, Y. A., & Hubarev, A. P. (2008). Introduction to mechatronics [in Russian]. Kyiv: Kyiv Polytechnic Institute.
Zhezhera, I., Ouissam, B., & Firsov, S. (2017). Development of a functionally sustainable system of orientation of a free battle fl ighting unit. Eastern-European Journal of Enterprise Technologies, 6(9), 22–29. https://doi.org/10.15587/1729-4061.2017.118640
Downloads
Issue
Section
License
Copyright (c) 2019 Mathematics in Modern Technical University
This work is licensed under a Creative Commons Attribution 4.0 International License.