The canonical controller and its regularity

Jan C. Willems; Madhu N. Belur; A.A.J. Anak Agung Julius; Harry L. Trentelman

doi:10.1109/CDC.2003.1272847

The canonical controller and its regularity

Jan C. Willems, Madhu N. Belur, A.A.J. Anak Agung Julius, Harry L. Trentelman

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

13 Citations (Scopus)

150 Downloads (Pure)

Abstract

This paper deals with properties of canonical controllers. We first specify the behavior that they implement. It follows that a canonical controller implements the desired controlled behavior if and only if the desired behavior is implementable. We subsequently investigate the regularity of the controlled behavior. We prove that a canonical controller is regular if and only if every controller is regular. In other words, canonical controllers are maximally irregular.

Original language	Undefined
Title of host publication	Proceedings of the 42nd IEEE Conference on Decision and Control
Place of Publication	Maui, Hawaii, USA
Publisher	IEEE
Pages	1639-1644
Number of pages	6
ISBN (Print)	0-7803-7924-1
DOIs	https://doi.org/10.1109/CDC.2003.1272847
Publication status	Published - Dec 2003
Event	42nd IEEE Conference on Decision and Control, CDC 2003 - The Hyatt Regency Resort & Spa, Maui, United States Duration: 9 Dec 2003 → 12 Dec 2003 Conference number: 42

Publication series

Name
Publisher	IEEE
Volume	2
ISSN (Print)	0191-2216

Conference

Conference	42nd IEEE Conference on Decision and Control, CDC 2003
Abbreviated title	CDC
Country/Territory	United States
City	Maui
Period	9/12/03 → 12/12/03

Keywords

EWI-16785
implementahility
Behavioral control
Regular controller
Regular interconnection
Behalion
Canonical controller
IR-69151
METIS-217817

Access to Document

10.1109/CDC.2003.1272847

Cite this

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title = "The canonical controller and its regularity",

abstract = "This paper deals with properties of canonical controllers. We first specify the behavior that they implement. It follows that a canonical controller implements the desired controlled behavior if and only if the desired behavior is implementable. We subsequently investigate the regularity of the controlled behavior. We prove that a canonical controller is regular if and only if every controller is regular. In other words, canonical controllers are maximally irregular.",

keywords = "EWI-16785, implementahility, Behavioral control, Regular controller, Regular interconnection, Behalion, Canonical controller, IR-69151, METIS-217817",

author = "Willems, {Jan C.} and Belur, {Madhu N.} and {Anak Agung Julius}, A.A.J. and Trentelman, {Harry L.}",

year = "2003",

month = dec,

doi = "10.1109/CDC.2003.1272847",

language = "Undefined",

isbn = "0-7803-7924-1",

publisher = "IEEE",

pages = "1639--1644",

booktitle = "Proceedings of the 42nd IEEE Conference on Decision and Control",

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note = "42nd IEEE Conference on Decision and Control, CDC 2003 ; Conference date: 09-12-2003 Through 12-12-2003",

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Willems, JC, Belur, MN, Anak Agung Julius, AAJ & Trentelman, HL 2003, The canonical controller and its regularity. in Proceedings of the 42nd IEEE Conference on Decision and Control., 10.1109/CDC.2003.1272847, IEEE, Maui, Hawaii, USA, pp. 1639-1644, 42nd IEEE Conference on Decision and Control, CDC 2003, Maui, Hawaii, United States, 9/12/03. https://doi.org/10.1109/CDC.2003.1272847

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AU - Willems, Jan C.

AU - Belur, Madhu N.

AU - Anak Agung Julius, A.A.J.

AU - Trentelman, Harry L.

N1 - Conference code: 42

PY - 2003/12

Y1 - 2003/12

N2 - This paper deals with properties of canonical controllers. We first specify the behavior that they implement. It follows that a canonical controller implements the desired controlled behavior if and only if the desired behavior is implementable. We subsequently investigate the regularity of the controlled behavior. We prove that a canonical controller is regular if and only if every controller is regular. In other words, canonical controllers are maximally irregular.

AB - This paper deals with properties of canonical controllers. We first specify the behavior that they implement. It follows that a canonical controller implements the desired controlled behavior if and only if the desired behavior is implementable. We subsequently investigate the regularity of the controlled behavior. We prove that a canonical controller is regular if and only if every controller is regular. In other words, canonical controllers are maximally irregular.

KW - EWI-16785

KW - implementahility

KW - Behavioral control

KW - Regular controller

KW - Regular interconnection

KW - Behalion

KW - Canonical controller

KW - IR-69151

KW - METIS-217817

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DO - 10.1109/CDC.2003.1272847

M3 - Conference contribution

SN - 0-7803-7924-1

SP - 1639

EP - 1644

BT - Proceedings of the 42nd IEEE Conference on Decision and Control

PB - IEEE

CY - Maui, Hawaii, USA

T2 - 42nd IEEE Conference on Decision and Control, CDC 2003

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