Model validation for control and controller validation in a prediction error identification framework. I: Theory
type: Item
instance of: scholarly article
title: Model validation for control and controller validation in a prediction error identification framework. I: Theory
zbMATH Open document ID: 1015.93011
DOI: 10.1016/S0005-1098(02)00234-0
author: Michel Gevers
author: Xavier Bombois
author: Benoît Codrons
author: Gerard Scorletti
author: Brian D. O. Anderson
published in: Automatica
publication date: 2003-04-27T00:00:00Z
review text: [For Part II see ibid. 417-427 (2003; Zbl 1015.93012) reviewed below.] The paper is devoted to the model validation problem. A model validation procedure is proposed that consists of a prediction error identification experiment with a full order model. It delivers a parametric uncertainty ellipsoid and a corresponding set of parameterized transfer functions, which is called the prediction error uncertainty set. Such an uncertainty set differs from the classical uncertainty descriptions used in robust control analysis and design. A robust control analysis theory for such uncertainty sets is developed. It covers two distinct aspects: controller validation and model validation for robust control. Necessary and sufficient conditions for a specific controller are presented. Also, a measure for the size of such a prediction error uncertainty set is presented. It is directly connected to the size of set controllers that stabilize all systems in the model uncertainty set. This allows the authors to establish that one uncertainty set is better tuned for robust control design than another, leading to control-oriented validation objectives.
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 1900981
zbMATH Keywords: system identification
zbMATH Keywords: model validation
zbMATH Keywords: robust control
zbMATH Keywords: robust stabilization
zbMATH Keywords: prediction error identification
zbMATH Keywords: parametric uncertainty ellipsoid
zbMATH Keywords: controller validation
zbMATH Keywords: error uncertainty set
zbMATH Keywords: control-oriented validation
reviewed by: Tzvetan Semerdjiev
MaRDI profile type: Publication
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full work available at URL: s0005-1098(02)00234-0
OpenAlex ID: W2161177594
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description: scientific article; zbMATH DE number 1900981