Identification of block-oriented nonlinear systems using orthonormal bases

被引:123
作者
Gómez, JC
Baeyens, E
机构
[1] Univ Nacl Rosario, FCEIA, Lab Syst Dynam & Signal Proc, RA-2000 Rosario, Santa Fe, Argentina
[2] Univ Valladolid, ETSII, Dept Syst Engn & Automat Control, E-47011 Valladolid, Spain
关键词
block-oriented models; nonlinear identification; singular value decomposition; process control;
D O I
10.1016/j.jprocont.2003.09.010
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, new noniterative algorithms for the identification of (multivariable) block-oriented nonlinear models consisting of the interconnection of linear time invariant systems and static nonlinearities are presented. The proposed algorithms are numerically robust, since they are based only on least squares estimation and singular value decomposition. Two different block-oriented nonlinear models are considered in this paper, viz., the Hammerstein model, and the Wiener model. For the Hammerstein model, the proposed algorithm provides consistent estimates even in the presence of colored output noise, under weak assumptions on the persistency of excitation of the inputs. For the Wiener model, consistency of the estimates can only be guaranteed in the noise free case. Key in the derivation of the results is the use of basis functions for the representation of the linear and nonlinear parts of the models. The performance of the proposed identification algorithms is illustrated through simulation examples of two benchmark problems drawn from the process control literature, viz., a binary distillation column and a pH neutralization process. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:685 / 697
页数:13
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