Volume 2, Issue 1, March 2017, Page: 19-25
Recursive Algorithms of Closed Loop Identification with a Tailor Made Parameterization
Wang Jian-hong, School of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, Jingdezhen, China; Dipartimento di Elettronica, Informazione Politecnico di Milano, Milano, Italy
Received: Jan. 10, 2017;       Accepted: Feb. 14, 2017;       Published: Mar. 2, 2017
DOI: 10.11648/j.mlr.20170201.13      View  1121      Downloads  39
Abstract
In this paper, we propose two recursive algorithms for closed loop identification under the framework of a tailor made parameterization. The closed loop transfer function is parameterized using the parameters of the open loop plant model, and utilizing knowledge of the feedback controller. When the plant model and feedback controller are all polynomial forms, a recursive least squares method with forgetting schemes is proposed to verify that this recursive method can be regarded as regularization least squares problem. Furthermore we also extend the tailor made parameterization method to nonlinear system and nonlinear controller, then an iterative least squares algorithm is applied to solve one nonlinear optimization problem.
Keywords
Closed Loop Identification, Tailor Made Parameterization, Recursive Algorithm, Forgetting Schemes
To cite this article
Wang Jian-hong, Recursive Algorithms of Closed Loop Identification with a Tailor Made Parameterization, Machine Learning Research. Vol. 2, No. 1, 2017, pp. 19-25. doi: 10.11648/j.mlr.20170201.13
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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