A parametrization for the closed-loop identification of nonlinear time-varying systems
type: Item
instance of: scholarly article
title: A parametrization for the closed-loop identification of nonlinear time-varying systems
zbMATH Open document ID: 0869.93012
DOI: 10.1016/0005-1098(96)00084-2
author: Soura Dasgupta
author: Brian D. O. Anderson
published in: Automatica
publication date: 1997-09-04T00:00:00Z
review text: The paper is devoted to a parametrization for the closed-loop identification of nonlinear time-varying systems, generalizing the parametrization idea to nonlinear plants, and treating identification of nonlinear plants. Closed-loop, as opposed to open-loop, identification is considered. The starting point is the assumption that one knows a controller that stabilizes the unknown plant to be identified. The characterization of the model set in a noise-free setting is considered. Characterizations on the basis of both left- and right-coprime factorization descriptions of the controller are presented. A novelty is the characterization of the plant model set in terms of the left-coprime factors of the controller. Further, the two characterizations are modified to incorporate the measurement noise term. It is demonstrated how the models can be exploited to meet identification objectives under a high signal-to-noise ratio assumption. Considering the closed-loop identification of nonlinear plants stabilized by linear, albeit time-varying feedback, the main focus is on deriving factorization-based structures that help convert the underlying closed-loop identification problem to one that is essentially one of open-loop identification.
reviewed by: Tzvetan Semerdjiev
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C99
zbMATH DE Number: 987772
zbMATH Keywords: coprime factorization
zbMATH Keywords: closed-loop identification
zbMATH Keywords: nonlinear time-varying systems
zbMATH Keywords: plant model set
MaRDI profile type: Publication
full work available at URL: 0005-1098(96)00084-2
OpenAlex ID: W2122125054
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Wikidata QID: Q126839315
description: scientific article; zbMATH DE number 987772