Subspace identification of Wiener model and linear systems

Authors

DOI:

https://doi.org/10.17268/sel.mat.2022.02.08

Keywords:

System identification, structure of Wiener, subspace identification

Abstract

This article presents an overview of the problem of identifying linear and nonlinear systems (Wiener type) operating in open loop. There are several algorithms that solve this problem, among them are the subspace methods (MOESP and N4SID). In order to evaluate the performance of the MOESP and N4SID methods, a simulated example is presented to compare the performance of these algorithms.

References

Biagiola S, Figueroa L. Identification of uncertain MIMO Wiener and Hammerstein models, Computers & Chemical Engineering. 2011; 35(11): 1-9.

Billings S. Identification of nonlinear systems: a survey. Proc. IEEE, Part D, 1980; 272-285.

Borjas SD, Garcia C. Subspace identification using the integration of MOESP and N4SID methods applied to the Shell benhmark of a distillation column, TEMA. 2011; 12(3):183-194.

De Moor B, Van Overschee P, Favoreel M. Algorithms for subspace state space system identification - an overview, Appl. and comp. control, signal and circuits. 1999; 1:247-311.

Garg, A, Mhaskar, P. Subspace identification-based modeling and control of batch particulate processes. Ind. Eng. Chem. Res. 2017; 56(26):7491

Jin N, Dertimanis V, Chatzi E, Dimitrakopoulos E, Katafygiotis L. Subspace identification of bridge dynamics via traversing vehicle, Journal of Sound and Vibration. 2022; 523(116690):1-20.

Lawrynczuk M. Nonlinear predictive control for Hammerstein Wiener systems. ISA Transactions. 2015; 55:49-62.

Ljung L. System Identification it Theory for the User, 2a. Ed., Prentice Hall Englewood Cliffs: NJ, 1999.

Saha P, Krishnan S, Rao V, Patwardhan S. Modeling and predictive control of MIMO nonlinear systems using Wiener-Laguerre models. Chem. Eng. Communication. 2004; 191:1083-1119.

Van Overschee P, De Moor B. Subspace Identification for Linear Systems. Kluwer Academic Pub, 1996.

Viberg M. Subspace methods in systems identification, 10th IFAC Symposium on System Identification, SYSID. 94, Copenhagen, Denmark, Proceedings. 1994; 1:1-12.

Verhaegen M, Dewilde P. Subspace model identification. part i: the output-error state-space model identification class of algorithms, Int. J. of Control, 1992; 56(1):1187-1210.

Wigren T. Convergence analysis of recursive identification algorithms based on the nonlinear Wiener model. IEEE Trans. AC, 1994; 39:2191-2206.

Published

2022-12-30

How to Cite

Miranda Borjas, S. D. (2022). Subspace identification of Wiener model and linear systems. Selecciones Matemáticas, 9(02), 312 - 322. https://doi.org/10.17268/sel.mat.2022.02.08