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On the properties of linear multirate systems with coprime output rates
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
2013 (English)In: 2013 IEEE 52nd Annual Conference on Decision and Control (CDC), IEEE conference proceedings, 2013, 2734-2739 p.Conference paper (Refereed)
Abstract [en]

This paper studies discrete-time linear systems with multirate outputs, assuming that two measured output streams are available at coprime rates. In the literature this type of system, which can be considered as periodic timevarying, is commonly studied in its blocked version, since the well-known techniques of analysis developed for linear timeinvariant systems can be used. In particular, we focus on some structural properties of the blocked systems and we prove that, under a generic setting i.e. for a generic choice of parameter matrices, the blocked systems are minimal when the underlying multirate system is defined using a minimal dimension system. Moreover, we focus on zeros of tall blocked systems i.e. blocked systems with more outputs than inputs. In particular, we study those cases where the associated system matrix attains fullcolumn rank. We exhibit situations where they generically have no finite nonzero zeros.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2013. 2734-2739 p.
, IEEE Conference on Decision and Control. Proceedings, ISSN 0743-1546
Keyword [en]
Linear systems, Choice of parameters, Discrete time linear systems, Linear time invariant systems, Multi-rate systems, Output rate, System matrices, Techniques of analysis, Time varying
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-136230DOI: 10.1109/CDC.2013.6760296ISI: 000352223503027ScopusID: 2-s2.0-84902338358ISBN: 978-146735717-3OAI: diva2:675602
52nd IEEE Conference on Decision and Control, CDC 2013; Florence; Italy; 10 December 2013 through 13 December 2013
Swedish Research Council, 66266

QC 20131216

Available from: 2013-12-04 Created: 2013-12-04 Last updated: 2015-12-08Bibliographically approved

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Bottegal, Giulio
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