Recursive set membership estimation for output-error fractional models with unknown-but-bounded errors

• Autorzy: Amairi M.

Identyfikatory

DOI

10.1515/amcs-2016-0038

• Języki publikacji: EN

Abstrakty

EN

This paper presents a new formulation for set-membership parameter estimation of fractional systems. In such a context, the error between the measured data and the output model is supposed to be unknown but bounded with a priori known bounds. The bounded error is specified over measurement noise, rather than over an equation error, which is mainly motivated by experimental considerations. The proposed approach is based on the optimal bounding ellipsoid algorithm for linear output-error fractional models. A numerical example is presented to show effectiveness and discuss results.

Słowa kluczowe

EN

fractional calculus; set membership; estimation; unknown but bounded error

PL

układ niecałkowitego rzędu; zbiór estymacyjny; błąd ograniczony

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2016
• Tom: Vol. 26, no. 3
• Strony: 543--553
• Opis fizyczny: Bibliogr. 18 poz., rys., tab., wykr.

Twórcy

autor

Amairi M.

• Research Laboratory of Modeling, Analysis and Control of Systems, National Engineering School of Gabes (ENIG), University of Gabes, Omar Ibn el Khattab St., 6029 Gabes, Tunisia

Bibliografia

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• [2] Amairi, M., Aoun, M., Najar, S. and Abdelkrim, M.N. (2012). Guaranteed frequency-domain identification of fractional order systems: Application to a real system, International Journal of Modelling, Identification and Control 17(1): 32–42.
• [3] Amairi, M., Najar, S., Aoun, M. and Abdelkrim, M. (2010). Guaranteed output-error identification of fractional order model, 2nd IEEE International Conference on Advanced Computer Control (ICACC), Shenyang, China, pp. 246–250.
• [4] Busłowicz, M. and Ruszewski, A. (2015). Robust stability check of fractional discrete-time linear systems with interval uncertainties, in K.J. Latawiec et al. (Eds.), Advances in Modelling and Control of Non-Integer-Order Systems, Springer, Berlin/Heidelberg, pp. 199–208.
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• [14] Polyak, B.T., Nazin, S.A., Durieu, C. and Walter, E. (2004). Ellipsoidal parameter or state estimation under model uncertainty, Automatica 40(7): 1171–1179.
• [15] Raissi, T., Ramdani, N. and Candau, Y. (2004). Set membership state and parameter estimation for systems described by nonlinear differential equations, Automatica 40(10): 1771–1777.
• [16] Samko, S., Kilbas, A. and Marichev, O. (1993). Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach, New York, NY.
• [17] Victor, S., Malti, R., Garnier, H., Oustaloup, A. (2013). Parameter and differentiation order estimation in fractional models, Automatica 49(4): 926–935.
• [18] Yakoub, Z., Chetoui, M., Amairi, M. and Aoun, M. (2015). A bias correction method for fractional closed-loop system identification, Journal of Process Control 33: 25–36.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.