Subspace identification of Wiener model and linear systems
DOI:
https://doi.org/10.17268/sel.mat.2022.02.08Keywords:
System identification, structure of Wiener, subspace identificationAbstract
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.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Selecciones Matemáticas
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors who publish in this journal accept the following conditions:
1. The authors retain the copyright and assign to the journal the right of the first publication, with the work registered with the Creative Commons Attribution License,Atribución 4.0 Internacional (CC BY 4.0) which allows third parties to use what is published whenever they mention the authorship of the work And to the first publication in this magazine.
2. Authors may make other independent and additional contractual arrangements for non-exclusive distribution of the version of the article published in this journal (eg, include it in an institutional repository or publish it in a book) provided they clearly state that The paper was first published in this journal.
3. Authors are encouraged to publish their work on the Internet (for example, on institutional or personal pages) before and during the review and publication process, as it can lead to productive exchanges and to a greater and more rapid dissemination Of the published work.
