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On the Input-Output Representation of Piecewise Affine State Space Models
University of Siena, Italy.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
University of Siena, Italy.
University of Siena, Italy.
2010 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 55, no 1, 60-73 p.Article in journal (Refereed) Published
Abstract [en]

This paper addresses the conversion of discrete-time piecewise affine (PWA) state space models into input-output form. Necessary and sufficient conditions for the existence of equivalent input-output representations of a given PWA state space model are derived. Connections to the observability properties of PWA models are investigated. Under a technical assumption, it is shown that every finite-time observable PWA model admits an equivalent input-output representation. When an equivalent input-output model exists, a constructive procedure is presented to derive its equations. Several examples illustrate the proposed results.

Place, publisher, year, edition, pages
2010. Vol. 55, no 1, 60-73 p.
Keyword [en]
Observability, Piecewise affine (PWA) models, Realization theory, State-space and input-output representations
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-53688DOI: 10.1109/TAC.2009.2034224OAI: oai:DiVA.org:liu-53688DiVA: diva2:291266
Available from: 2010-02-01 Created: 2010-02-01 Last updated: 2017-12-12

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Roll, Jacob

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