On the properties of linear multirate systems with coprime output rates

Mohsen Zamani, Giulio Bottegal, Brian D.O. Anderson

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    1 Citation (Scopus)

    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 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.

    Original languageEnglish
    Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages2734-2739
    Number of pages6
    ISBN (Print)9781467357173
    DOIs
    Publication statusPublished - 2013
    Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
    Duration: 10 Dec 201313 Dec 2013

    Publication series

    NameProceedings of the IEEE Conference on Decision and Control
    ISSN (Print)0743-1546
    ISSN (Electronic)2576-2370

    Conference

    Conference52nd IEEE Conference on Decision and Control, CDC 2013
    Country/TerritoryItaly
    CityFlorence
    Period10/12/1313/12/13

    Fingerprint

    Dive into the research topics of 'On the properties of linear multirate systems with coprime output rates'. Together they form a unique fingerprint.

    Cite this