ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
Menu

11
Issue
vol 67 / November, 2024
Article

DOI 10.17586/0021-3454-2023-66-12-1050-1059

UDC 681.5

PARAMETERIZATION ALGORITHM FOR NON-STATIONARY SYSTEMS USING A DYNAMIC CONTROLLER

M. S. Ta
ITMO University, Saint Petersburg, 197101, Russian Federation; PhD Student, Engineer


A. A. Pyrkin
ITMO University, Saint Petersburg, 197101, Russian Federation; Full Professor, Dean


Read the full article 
Reference for citation: Та М. S., Pyrkin А. А. Parameterization algorithm for non-stationary systems using a dynamic controller. Journal of Instrument Engineering. 2023. Vol. 66, N 12. P. 1050—1059 (in Russian). DOI: 10.17586/0021-3454-2023-66-12-1050-1059.

Abstract. For a static control object with a variable parameter, the problem of tracking a deterministic reference action with zero error has been solved. An algorithm for the synthesis of a dynamic controller is proposed, which allows a parameterization of variable parameter generators with an unknown state matrix, in which the problem of potential division by zero is solved.
Keywords: non-stationary systems, динамическая параметризация, dynamic parameterization, geometric approach, output control

Acknowledgement: the work was supported by a grant from the President of the Russian Federation No. MD-3574.2022.4 and the Ministry of Science and Higher Education of the Russian Federation (state assignment passport No. 2019-0898).

References:
  1. Le V.T., Korotina M.M., Bobtsov A.A., Aranovskiy S.V., Vo Q.D. Мechatronics, Automation, Control, 2019, no. 5(20), pp. 259–265. (in Russ.)
  2. Dung Kh.B., Pyrkin A.A., Bobtsov А.А., Vedyakov А.А. Journal of Instrument Engineering, 2021, no. 6(64), pp. 459–468. (in Russ.)
  3. Dung Kh.B., Pyrkin A.A., Bobtsov А.А., Vedyakov А.А., Nizovtsev S.I. Мechatronics, Automation, Control, 2021, no. 8(22), pp. 404–410. (in Russ.)
  4. Pyrkin A., Bobtsov A., Ortega R., Isidori A. Automatica, 2023, vol. 147, рр. 110677.
  5. Pyrkin A.A., Bobtsov А.А., Nguen K.T. Journal of Instrument Engineering, 2023, no. 4(66), pp. 266–275. (in Russ.)
  6. Pyrkin A., Ta M.S., Nguen Q.C., Sinetova M. IFAC-PapersOnLine, 2022, no. 12(55), pp. 312–317.
  7. Pyrkin A., Bobtsov A., Ortega R., Vedyakov A., Aranovskiy S. Systems & Control Letters, 2019, vol. 133, рр. 104519.
  8. Ortega R., Bobtsov A., Pyrkin A., Aranovskiy S. Systems & Control Letters, 2015, vol. 85, рр. 84–94.
  9. Ortega R., Bobtsov A., Dochain D., Nikolaev N. Journal of Process Control, 2019, vol. 83, рр. 53–62.
  10. Ortega R., Bobtsov A., Nikolaev N., Schiffer J., Dochain D. Automatica, 2021, vol. 129, рр. 109635.
  11. Ljung L. System Identification, Theory for the User, NJ, PTR Prentice Hall, 1987.
  12. Ortega R., Aranovskiy S., Pyrkin A.A., Astolfi A., Bobtsov A.A. IEEE Transactions on Automatic Control, 2020, no. 5(66), pp. 2265–2272.