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Identification for control of multivariable systems: Controller validation and experiment design via LMIs
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. (System Identification Group)
TU Delft. (Center for Systems and Control)
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. (System Identification Group)ORCID iD: 0000-0002-9368-3079
Ecole Centrale de Lyon. (Laboratoire Ampère)
2008 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 44, no 12, 3070-3078 p.Article in journal (Refereed) Published
Abstract [en]

This paper presents a new controller validation method for linear multivariable time-invariant models. Classical prediction error system identification methods deliver uncertainty regions which are nonstandard in the robust control literature. Our controller validation criterion computes an upper bound for the worst case performance, measured in terms of the H-infinity-norm of a weighted closed loop transfer matrix, achieved by a given controller over all plants in such uncertainty sets. This upper bound on the worst case performance is computed via an LMI-based optimization problem and is deduced via the separation of graph framework. Our main technical contribution is to derive, within that framework, a very general parametrization for the set of multipliers corresponding to the nonstandard uncertainty regions resulting from PE identification of MIMO systems. The proposed approach also allows for iterative experiment design. The results of this paper are asymptotic in the data length and it is assumed that the model structure is flexible enough to capture the true system.

Place, publisher, year, edition, pages
2008. Vol. 44, no 12, 3070-3078 p.
Keyword [en]
Identification for robust control, Experiment design, Closed loop system identification, Controller validation, Multivariable plants, Linear multivariable feedback, LMI optimization
National Category
Control Engineering
Research subject
SRA - ICT
Identifiers
URN: urn:nbn:se:kth:diva-33080DOI: 10.1016/j.automatica.2008.05.022ISI: 000261964800009Scopus ID: 2-s2.0-56349110432OAI: oai:DiVA.org:kth-33080DiVA: diva2:418999
Note

QC 20150724

Available from: 2011-05-25 Created: 2011-04-28 Last updated: 2017-12-11Bibliographically approved

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Hjalmarsson, Håkan

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