On the Input-Output Representation of Piecewise Affine State Space Models
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
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.
Observability, Piecewise affine (PWA) models, Realization theory, State-space and input-output representations
IdentifiersURN: urn:nbn:se:liu:diva-53688DOI: 10.1109/TAC.2009.2034224OAI: oai:DiVA.org:liu-53688DiVA: diva2:291266