DocumentCode
882921
Title
Minimal periodic realizations of transfer matrices
Author
Lin, Ching-An ; King, Chwan-Wen
Author_Institution
Nat. Chiao-Tung Univ., Hsinchu, Taiwan
Volume
38
Issue
3
fYear
1993
fDate
3/1/1993 12:00:00 AM
Firstpage
462
Lastpage
466
Abstract
Periodic controllers designed based on the so-called lifting technique are usually represented by transfer matrices. Real operations require that the controllers be implemented as periodic systems. The problem of realizing an Nn o×Nn i proper rational transfer matrix as an n i-input n o-output N -periodic discrete-time system is studied. An algorithm for obtaining periodic realizations which have a minimal number of states is proposed. The result can also be used to remove any redundant states that exist in a periodic system
Keywords
discrete time systems; matrix algebra; multivariable control systems; time-varying systems; transfer functions; MIMO systems; minimal periodic realisations; periodic realizations; periodic system; transfer matrices; Automatic control; Conferences; Control systems; Cyclic redundancy check; Linear systems; Notice of Violation; Output feedback; Stability; State feedback; Time varying systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.210146
Filename
210146
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