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A sufficient condition for invalidation of linear state-space systems with uncertain time-varying parameters
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.ORCID iD: 0000-0001-8893-4809
2009 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 54, no 12, p. 2915-2920Article in journal (Refereed) Published
Abstract [en]

The model validation problem for linear systems with time-varying parameter uncertainty and additive disturbances is addressed. The disturbance are modelled using the window norm, which is a generalization of the l-infinity-norm and is shown to be attractive for optimal control. An approximation of the nonlinear operator from parameters to output is found based on the Fréchet derivative. Using this approximation, a sufficient condition for invalidation of a process model is formulated as a linear feasibility problem. In this condition, an upper bound for the approximation error is included. An overhead crane is used as an illustrative example to show that the model validation test is realistic to perform even with large data sets.

Place, publisher, year, edition, pages
2009. Vol. 54, no 12, p. 2915-2920
Keywords [en]
Information technology - Automatic control
Keywords [sv]
Informationsteknik - Reglerteknik
National Category
Control Engineering
Research subject
Control Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-7024DOI: 10.1109/TAC.2009.2033860ISI: 000272601600022Scopus ID: 2-s2.0-72349086457Local ID: 55a73860-a83c-11de-8293-000ea68e967bOAI: oai:DiVA.org:ltu-7024DiVA, id: diva2:979911
Note
Validerad; 2009; 20090923 (andreasj)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Johansson, Andreas

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