Minimal periodic realizations of transfer matrices

Ching-An Lin*, Chwan Wen King

*Corresponding author for this work

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


Periodic controllers designed based on the so-called lifting technique are usually represented by transfer matrices. Real-time operations require that the controllers be implemented as periodic systems. We study the problem of realizing an N no × N ni proper rational transfer matrix as an ni-input no-output N-periodic discrete-time system. We propose an algorithm to obtain periodic realizations which have a minimal number of states. The result can also be used to remove any redundant states that exist in a periodic system.

Original languageEnglish
Title of host publicationProceedings of the American Control Conference
PublisherPubl by American Automatic Control Council
Number of pages2
ISBN (Print)0780302109
StatePublished - 1 Dec 1992
EventProceedings of the 1992 American Control Conference - Chicago, IL, USA
Duration: 24 Jun 199226 Jun 1992

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


ConferenceProceedings of the 1992 American Control Conference
CityChicago, IL, USA

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