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Model parameter on-line identification with nonlinear parametrization – manipulator model

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Języki publikacji
EN
Abstrakty
EN
This paper presents an example of solving the parameter identification problem in the case of a robot with two degrees of freedom. In this study, a weighted recursive least squares algorithm was generalised to a case of nonlinear parameterisation in which the identified parameters did not satisfy the linear model. The generalisation involved linearising the model in the neighbourhood of current values of the parameter estimates. It was assumed that the estimates were updated every N steps of signal sampling. This method of identification can be applied whenever the parameters concerning a model need to be determined at the time of measurement. This is particularly useful in adaptive control when the plant parameters vary over time.
Rocznik
Strony
art. no. e2022007
Opis fizyczny
Bibliogr. 19 poz., wz., rys., wykr.
Twórcy
autor
  • Faculty of Mechatronics and Mechanical Engineering, Kielce University of Technology
Bibliografia
  • 1. Adamczak, S., Bochnia, J. (2016). Estimating the Approximation Uncertainty for Digital Materials Subjected to Stress Relaxation Tests. Metrology and Measurement Systems, 23(4): 545-553, https://doi.org/10.1515/mms-2016-0048
  • 2. Bochnia, J. (2018). Evaluation of relaxation properties of digital materials obtained by means of PolyJet Matrix technology. Bulletin of the Polish Academy of Sciences: Technical Sciences, No. 6, https://doi.org/10.24425/bpas.2018.125936
  • 3. Fortescue, T.R., Kershenbaum, L.S., Ydsti, B.E. (1981). Implementation of self tuning regulators with variable forgetting factor. Automatica, 17: 831-835.
  • 4. Goodwin, G.C., Payne, R.L. (1977). Dynamic System Identification: Experiment Design and Data Analysis. New York: Academic Press Inc.
  • 5. Graba, M. (2017). Proposal of the hybrid solution to determining the selected fracture parameters for SEN(B) specimens dominated by plane strain. Bulletin of the Polish Academy of Sciences: Technical Sciences, No. 4, https://doi.org/10.1515/bpasts-2017-0057
  • 6. Hunt, J.K. (1966). A Survey of Recursive Identification Algorithms. Tras. Inst. MC, 8(5): 273-278.
  • 7. Janecki, D. (1988). New recursive parameter estimation algorithms with varying but bounded gain matrix. Int. J. Contr., 47(1): 75-84.
  • 8. Krzysztofik, I., Takosoglu, J., Koruba, Z. (2017). Selected methods of control of the scanning and tracking gyroscope system mounted on a combat vehicle. Annual Reviews in Control, No. 44: 173-182.
  • 9. Ljung, L., Gunnarson, S. (1990). Adaptation and Tracing in System Identification - a Survey. Automatica, 26(1): 7-21.
  • 10. Ljung, L., Söderstrom, T. (1987). Theory and Practice of Recursive Identification. Cambrigde Mass.: MIT Press.
  • 11. Miller, T., Adamczak, S., Świderski, J., Wieczorowski, M., Łętocha, A., Gapiński, B. (2017). Influence of temperature gradient on surface texture measurements with the use of profilometry. Bulletin of the Polish Academy of Sciences: Technical Sciences, No. 1: 53-61, https://doi.org/10.1515/bpasts-2017-0007, 2017.
  • 12. Niederliński, A., Mościński, J., Ogonowski, Z. (1995). Adaptive control. Warszawa: PWN.
  • 13. Valasek, R., Pavliska, V., Perfilieva, I., Farana, R. (2013). Application of Fuzzy Transform for Noise Reduction in Helicopter Model Identification. (In) Proceedings of the 2013 14th International Carpathian Control Conference (ICCC) (pp. 400-405). Rytro: AGH University of Science and Technology.
  • 14. Vítečková, M., Víteček, A. (2013). Simple Digital Controller Tuning, (In) Proceedings of the 2013 14th International Carpathian Control Conference (ICCC). Rytro: AGH University of Science and Technology.
  • 15. Widrow, B., Stearns, S.D. (1985). Adaptive Signal Processing. Englewood Cliffs: Prentice Hall.
  • 16. Wittenmark, B., Astrom, K.J. (1984). Practical issues in the implementation of self tuning controllers. Automatica, 20: 595-606.
  • 17. Wittenmark, B., Astrom, K.J. (1980). Simple self tuning controllers. In Methods and Application in Adaptive Control. Berlin: Springer Verlag, Vol. 24: 21-30.
  • 18. Woś, P., Dindorf, R. (2013). Adaptive control of the electro-hydraulic servo-system with external disturbance. Asian Journal of Control, 15(4): 1065-1080.
  • 19. Zorawski, W, Makrenek, M., Goral, A. (2016). Mechanical Properties and Corrosion Resistance of HVOF Sprayed Coatings Using Nanostructured Carbide Powders. Archives of Metallurgy and Materials, 61(4): 1839-1846, https://doi.org/10.1515/amm-2016-0297
Uwagi
Section "Mechanics"
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-82c4eb0a-80f2-4aef-821e-4414d44d422f
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