Bounding approach to parameter estimation without prior knowledge on modeling error and application to quality modeling in drinking water distribution systems

• Autorzy: Duzinkiewicz K.
• Języki publikacji: EN

Abstrakty

EN

Parameter estimation of an autoregressive with moving average and exogenous variable ARMAX model is discussed in this paper by using bounding approach. Bounds on the model structure error are assumed unknown, or known but too conservative. To reduce this conservatism, a point-parametric model concept is proposed, where there exist a set model parameters and modeling error corresponding to each input. Feasible parameter sets are defined for point-parametric model. bounded values on the model parameters and modeling error can then be computed jointly by tightening the feasible set using observations under deliberately designed input excitations. Finally, a constantly bounded parameter model is established, which can be used for robust output prediction and control.

Słowa kluczowe

EN

modeling errors; bounding method; parameter estimation; uncertain dynamic systems; robust control

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2006
• Tom: Vol. 16, no. 1
• Strony: 51--70
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Duzinkiewicz K.

• Department of Control Engineering, Faculty of Electrical Engineering and Automatic Control, Gdańsk University of Technology, ul. Narutowicza 11/12, 80-952 Gdańsk,

Bibliografia

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• [4] M. MILANESE, J. P. NORTON, H. PIET-LAHANIER and E. WALTER (EDS): Bounding Approaches to System Identification. Plenum Press, New York, 1996.
• [5] R. MONTEIRO and I. ALDER: Interior path following primal-dual algorithm, part II: convex quadratic programming. Mathematical Programming, 44 (1989), 43-66.
• [6] E. WALTER and L. PRONZATO: Identification of Parametric Models. Spriger, Mason, 1997.
• [7] M. L. ZIEROLF, M. M. POLYCARPOU and J. G. UBER: Development and Autocalibration of an Input-Output Model of Chlorine Transport in Drinking Water Distribution Systems. IEEE Trans. on Control Systems Technology, 6(4), (1998).