Parameters set evaluation of wiener models from data with bounded output errors
作者： V. Cerone , M. Milanese , D. Regruto
DOI: 10.1016/S1474-6670(17)34866-8
关键词: Bounded function 、 Bounding overwatch 、 Polynomial 、 Control theory 、 Nonlinear system 、 Block (data storage) 、 Linear model 、 Mathematics 、 Observational error 、 Sequence 、 Applied mathematics
摘要: Abstract In this paper a procedure is presented for deriving parameters bounds in SISO Wiener models when the nonlinear block can be modeled by polynomial and output measurement errors are bounded. First, using steady-state input-output data, of tightly Next order to estimate linear block, evaluation inner unmeasurable signal considered. No invertibility assumption nonlinearity required. Then, through suitable design identification experiment, on evaluated. Finally, such together with input sequence used bounding model.
sci-hub.se 参考文章(15)
Adam Krzy.zak, Identification of nonlinear block-oriented systems by the recursive kernel estimate Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 330, pp. 605- 627 ,(1993) , 10.1016/0016-0032(93)90101-Y
Bounding Approaches to System Identification Plenum Press. ,(1996) , 10.1007/978-1-4757-9545-5
M. Milanese, A. Vicino, Optimal estimation theory for dynamic systems with set membership uncertainty: an overview Automatica. ,vol. 27, pp. 997- 1009 ,(1991) , 10.1016/0005-1098(91)90134-N
Er-Wei Bai, A blind approach to the Hammerstein-Wiener model identification Automatica. ,vol. 38, pp. 967- 979 ,(2002) , 10.1016/S0005-1098(01)00292-8
L. Sun, W. Liu, A. Sano, Identification of a dynamical system with input nonlinearity IEE Proceedings - Control Theory and Applications. ,vol. 146, pp. 41- 51 ,(1999) , 10.1049/IP-CTA:19990371
S.A. Billings, Identification of nonlinear systems - a survey IEE Proceedings D Control Theory and Applications. ,vol. 127, pp. 272- 285 ,(1980) , 10.1049/IP-D:19800047
S.A. Billings, S.Y. Fakhouri, Identification of nonlinear systems using the Wiener model Electronics Letters. ,vol. 13, pp. 502- 504 ,(1977) , 10.1049/EL:19770367
T. Wigren, Output error convergence of adaptive filters with compensation for output nonlinearities IEEE Transactions on Automatic Control. ,vol. 43, pp. 975- 978 ,(1998) , 10.1109/9.701104
Eric Walter, Hélène Piet-Lahanier, Estimation of parameter bounds from bounded-error data: a survey Mathematics and Computers in Simulation. ,vol. 32, pp. 449- 468 ,(1990) , 10.1016/0378-4754(90)90002-Z
V. Cerone, Feasible parameter set for linear models with bounded errors in all variables Automatica. ,vol. 29, pp. 1551- 1555 ,(1993) , 10.1016/0005-1098(93)90020-T