Self-tuning control with regularized RLS algorithm for vibration cancellation of a circular plate

• Autorzy: Leniowska L. , Kos P.
• Języki publikacji: EN

Abstrakty

EN

The self-tuning control assumes that the vibrating system is unknown and the controller procedure has the ability to identify the process and to update the necessary control law. Such an algorithm provides the relevant regulator parameters according to the obtained parametric object model. The algorithm can be described as a combination of the following two procedures: the online identification and the computation of the controller parameters. Nearly all of the identification procedures are related to the Least Squares (LS) estimate of a model output. Classified as an ill-posed problem, it implies that the obtained solution is potentially very sensitive to the data perturbations. In order to avoid such problems, the regularized version of the RLS method has been considered in this paper. By solving the linear system of equations with a non-singular Sylvester matrix, the formulas for the unknown coefficients of the considered PID-type controller structure have been obtained. The results of the tests and simulations for the circular plate vibration cancellation have been also included.

Słowa kluczowe

EN

self-tuning control; online identification; RLS algorithm; regularization; Sylvester matrix

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2009
• Tom: Vol. 34, No. 4
• Strony: 613--624
• Opis fizyczny: Bibliogr. 8 poz., wykr.

Twórcy

autor

Leniowska L.

autor

Kos P.

• Rzeszów University Al. Rejtana 16A, 35-310 Rzeszów, Poland e-mail:,

Bibliografia

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• [2] Bobál V., Böhm J., Prokop J., Fessl J., Practical Aspects of Self-Tuning Controllers: Algorithms and Implementation, VUTIUM Press, Brno University of Technology, 2000.
• [3] Kos P., Online identification of mathematical model of circular plate for vibration cancellation, Archives of Acoustics, 33, 4 (Supplement), 207-212 (2008).
• [4] Leniowska L., Kos P., Adaptive predictive feedback control of circular plate vibration, Proceedings of European Conference on Noise Control, EURONOISE 2008, pp. 4633-4638, Paris 2008.
• [5] Ljung L., Söderström T., Theory and Practice of Recursive Identification. MIT Press, Cambridge. MA., 1983, ISBN 978-0262120951.
• [6] Ljung L., Söderström T., System Identification: Theory for the User, 2nd Edition, Prentice Hall, 1999, ISBN 0-13-656695-2.
• [7] Praly L., Robustness of Model reference adaptive control, Proc. 3rd Yale Workshop on Adaptive Control. New Haven, CT., 1983.
• [8] Tikhonov A., Arsenin V., Solutions of Ill-Posed Problems, Wiley, New York 1977.