ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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vol 67 / February, 2024
Article

DOI 10.17586/0021-3454-2021-64-9-728-740

UDC 681.5.015.8

NUMERICAL METHODS OF OPTIMIZATION FOR ROBUST CONTROL OF ROBOTIC AND MECHATRONIC SYSTEMS

T. Orłowska-Kowalska
Wroclaw University of Science and Technology, Department of Electrical Machines, Drives and Measurements;


S. Y. Lovlin
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate Professor


M. . Tsvetkova
ITMO University; student


V. M. Musalimov
Institute of Problems of Machine Science of the Russian Academy of Sciences, St. Petersburg; Chief Scientific Officer


M. V. Abramchuk
ITMO University, Department of Mechatronics; senior lecturer


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Abstract. A new numerical method is developed for optimization of robust control over robotic and mechatronic systems. The method is based on minimizing the maximum of control system frequency response to disturbance in coordinate under regulation. The system stability is ensured by a new method of limiting the search area for the regulator parameters, based on the stability margin radius. This optimization method consists of parametric and structural tuning of the control system. Correctness of the proposed method is confirmed by presented results of numerical experiments.
Keywords: robust control, mechatronic systems, numerical methods

References:
  1. Shabashov A.A. Sotsial'no-ekonomicheskiye i tekhnicheskiye problemy oboronno-promyshlennogo kompleksa: istoriya, real'nost', innovatsii (Socio-Economic and Technical Problems of the Military-Industrial Complex: History, Reality, Innovation), Interuniversity collection of articles based on the materials of the V All-Russian scientific and practical conference), Nizhny Novgorod, 2018, рр. 229–233. (in Russ.)
  2. Gryzlov A.A., Grigorev M.A. Russian Electrical Engineering, 2019, no. 5, pp. 364–369.
  3. Gundareva M.O., Russkiy E.Yu. Nauka, promyshlennost', oborona (Science, Industry, Defense), Proceedings of the XVIII All-Russian Scientific and Technical Conference, Novosibirsk, 2017, рр. 146 151. (in Russ.)
  4. Volovodov S.K., Smol'nikov A.V. Sistemy upravleniya i obrabotki informatsii (Control and Information Processing Systems), St. Petersburg, 2018, рр. 18–24. (in Russ.)
  5. Orłowska-Kowalska T., Lovlin S.Yu., Tsvetkova M.H., Kononova M.S., Mamatov A.G. Journal of Instrument Engineering, 2019, no. 6(62), pp. 576–584. (in Russ.)
  6. Patil N., Behere D. Journal on Electrical Engineering, 2019, no. 1(13), pp. 12–18.
  7. Krishnan T.V.D., Krishnan C.M.C., Vittal K.P. 2017 International Conference on Smart grids, Power and Advanced Control Engineering (ICSPACE), IEEE, 2017, pp. 37-42.
  8. Derets O., Sadovoi O., Derets Y. 2019 IEEE 20th International Conference on Computational Problems of Electrical Engineering (CPEE), IEEE, 2019, pp. 1–4.
  9. Lukichev D.V. and Demidova G.L. 2016 IX International Conference on Power Drives Systems (ICPDS), Perm, 2016, pp. 1–5.
  10. Gribanov P.S., Lovlin S.Y. and Lukichev D.V. 2018 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (EIConRus), Moscow, 2018, pp. 872–877.
  11. Shustov I.V., Tolmachev V.A. and Lovlin S.Y. 2020 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (EIConRus), St. Petersburg and Moscow, 2020, pp. 867–872.
  12. Toscano R. Journal of Process Control, 2005, no. 1(15), pp. 81–88.
  13. Hassan N.A. Ismail1, Youssef I.K., Tamer M. International Journal of Mathematics and Statistics Invention (IJMSI), 2017, no. 2(5), pp. 15–20.
  14. Zhmud V., Dimitrov L., Semibalamut V., and Taichenachev A. 2017 International Siberian Conference on Control and Communications (SIBCON), Astana, 2017, pp. 1–7.
  15. Janin Z., Mad Kaidi H., Ahmad R., & Khan S. International Journal of Integrated Engineering, 2020, no. 6(12), pp. 200–206.
  16. Chunlei Zhang, Ordóñez R. Automatica, 2009, no. 3(45), pp. 634–646.
  17. Vweza A.O., Chong K.T, Lee D.J. Int. J. Control Autom. Syst., 2015, vol. 13, рр. 877–886.
  18. Bryant A.T., Wang Y., Finney S.J., Lim T.C., Palmer P.R. IEEE Transactions on Power Electronics, 2007, no. 2(22), pp. 374–383.
  19. Zhang C., Ordonez R. Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, 2006, рр. 4460–4465.
  20. Demidova G.L., Lovlin S.Yu., Tsvetkova M.H. Vestnik IGEU, 2011, no. 2, pp. 77–81. (in Russ.)
  21. Lovlin S., Poliakov N. and Abdullin A. 2018 X International Conference on Electrical Power Drive Systems (ICEPDS), Novocherkassk, 2018, pp. 1–4.
  22. Bode H.W. Network analysis and feedback amplifier design, Tung Hwa Book Company, Shanghai, China, 1949. 23. Аlexandrov А.G. Analytical methods for control design, 1980, рр. 3–14.