MINIMAL PERIODIC REALIZATIONS OF TRANSFER-MATRICES

Authors
LIN CA KING CW
Citation
Ca. Lin et Cw. King, MINIMAL PERIODIC REALIZATIONS OF TRANSFER-MATRICES, IEEE transactions on automatic control, 38(3), 1993, pp. 462-466
Citations number
7
Categorie Soggetti
Controlo Theory & Cybernetics","Computer Applications & Cybernetics","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
38
Issue
3
Year of publication
1993
Pages
462 - 466
Database
ISI
SICI code
0018-9286(1993)38:3<462:MPROT>2.0.ZU;2-V
Abstract
Periodic controllers designed based on the so-called lifting technique are usually represented by transfer matrices. Real-time operations re quire that the controllers be implemented as periodic systems. We stud y the problem of realizing an Nn(o) X Nn(i) proper rational transfer m atrix as an n(i)-input n(o)-output N-periodic discrete-time system. We propose an algorithm to obtain periodic realizations which have a min imal number of states. The result can also be used to remove any redun dant states that exist in a periodic system.