Minimal Periodic Realizations of Transfer Matrices

Ching-An Lin, Chwan Wen King

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


Periodic controllers designed based on the so-called lifting technique are usually represented by transfer matrices. realtime operations require that the controllers be implemented as periodic systems. We study the problem of realizing an Nni x Nni 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
Pages (from-to)462-466
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number3
StatePublished - 1 Jan 1993

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