On the properties of linear multirate systems with coprime output rates

M. Zamani, G. Bottegal, B.D. Anderson

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Abstract

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 time-varying, is commonly studied in its blocked version, since the well-known techniques of analysis developed for linear time-invariant 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 full-column rank. We exhibit situations where they generically have no finite nonzero zeros.
Original languageEnglish
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control (CDC)
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages2734-2739
Number of pages6
ISBN (Electronic)978-1-4673-5717-3
ISBN (Print)978-1-4673-5714-2
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event52nd IEEE Conference on Decision and Control (CDC 2013) - Florence, Italy
Duration: 10 Dec 201313 Dec 2013
Conference number: 52

Conference

Conference52nd IEEE Conference on Decision and Control (CDC 2013)
Abbreviated titleCDC 2013
CountryItaly
CityFlorence
Period10/12/1313/12/13

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  • Cite this

    Zamani, M., Bottegal, G., & Anderson, B. D. (2013). On the properties of linear multirate systems with coprime output rates. In 2013 IEEE 52nd Annual Conference on Decision and Control (CDC) (pp. 2734-2739). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2013.6760296