Minimal periodic realizations of transfer matrices

Ching-An Lin; Chwan Wen King

doi:10.23919/ACC.1992.4792086

Minimal periodic realizations of transfer matrices

Ching-An Lin^*, Chwan Wen King

^*Corresponding author for this work

National Chiao Tung University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

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 n_o × N n_i proper rational transfer matrix as an n_i-input n_o-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 language	English
Title of host publication	Proceedings of the American Control Conference
Publisher	Publ by American Automatic Control Council
Pages	353-354
Number of pages	2
ISBN (Print)	0780302109
DOIs	https://doi.org/10.23919/ACC.1992.4792086
State	Published - 1 Dec 1992
Event	Proceedings of the 1992 American Control Conference - Chicago, IL, USA Duration: 24 Jun 1992 → 26 Jun 1992

Publication series

Name	Proceedings of the American Control Conference
Volume	1
ISSN (Print)	0743-1619

Conference

Conference	Proceedings of the 1992 American Control Conference
City	Chicago, IL, USA
Period	24/06/92 → 26/06/92

Access to Document

10.23919/ACC.1992.4792086

Fingerprint Dive into the research topics of 'Minimal periodic realizations of transfer matrices'. Together they form a unique fingerprint.

Cite this

@inproceedings{bc49d7cf5dd44122ab24ab73da18445a,

title = "Minimal periodic realizations of transfer matrices",

abstract = "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.",

author = "Ching-An Lin and King, {Chwan Wen}",

year = "1992",

month = dec,

day = "1",

doi = "10.23919/ACC.1992.4792086",

language = "English",

isbn = "0780302109",

series = "Proceedings of the American Control Conference",

publisher = "Publ by American Automatic Control Council",

pages = "353--354",

booktitle = "Proceedings of the American Control Conference",

note = "null ; Conference date: 24-06-1992 Through 26-06-1992",

}

TY - GEN

T1 - Minimal periodic realizations of transfer matrices

AU - Lin, Ching-An

AU - King, Chwan Wen

PY - 1992/12/1

Y1 - 1992/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0027045753&partnerID=8YFLogxK

U2 - 10.23919/ACC.1992.4792086

DO - 10.23919/ACC.1992.4792086

M3 - Conference contribution

AN - SCOPUS:0027045753

SN - 0780302109

T3 - Proceedings of the American Control Conference

SP - 353

EP - 354

BT - Proceedings of the American Control Conference

PB - Publ by American Automatic Control Council

Y2 - 24 June 1992 through 26 June 1992

ER -