Set-membership identification for adaptive control: Input design

M.A. Cadic; J.W. Polderman; I.M.Y. Mareels

doi:10.1109/CDC.2003.1272424

Set-membership identification for adaptive control: Input design

M.A. Cadic, J.W. Polderman, I.M.Y. Mareels

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

4 Citations (Scopus)

8 Downloads (Pure)

Abstract

An input design to guarantee the boundedness and the decreasing volume of the uncertainty set is proposed in the scenario of open-loop identification for control. The estimated system is described by a linear time-invariant SISO system of known order n with unknown-but-bounded modeling error in discrete time. Key in this approach is to consider a 2n-periodic input sequence and to establish sufficient conditions ensuring boundedness of the uncertainty set in finite time. An iterative input design involving a single design parameter leads then to an uncertainty set which uniformly decreases with time.

Original language	English
Title of host publication	Proceedings 42nd IEEE Conference on Decision and Control 2003
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	5011-5016
Number of pages	16
Volume	5
ISBN (Print)	0-7803-7925-X
DOIs	https://doi.org/10.1109/CDC.2003.1272424
Publication status	Published - 9 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

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

METIS-217810
IR-47389

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10.1109/CDC.2003.1272424

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title = "Set-membership identification for adaptive control: Input design",

abstract = "An input design to guarantee the boundedness and the decreasing volume of the uncertainty set is proposed in the scenario of open-loop identification for control. The estimated system is described by a linear time-invariant SISO system of known order n with unknown-but-bounded modeling error in discrete time. Key in this approach is to consider a 2n-periodic input sequence and to establish sufficient conditions ensuring boundedness of the uncertainty set in finite time. An iterative input design involving a single design parameter leads then to an uncertainty set which uniformly decreases with time.",

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AU - Cadic, M.A.

AU - Polderman, J.W.

AU - Mareels, I.M.Y.

N1 - Conference code: 42

PY - 2003/12/9

Y1 - 2003/12/9

N2 - An input design to guarantee the boundedness and the decreasing volume of the uncertainty set is proposed in the scenario of open-loop identification for control. The estimated system is described by a linear time-invariant SISO system of known order n with unknown-but-bounded modeling error in discrete time. Key in this approach is to consider a 2n-periodic input sequence and to establish sufficient conditions ensuring boundedness of the uncertainty set in finite time. An iterative input design involving a single design parameter leads then to an uncertainty set which uniformly decreases with time.

AB - An input design to guarantee the boundedness and the decreasing volume of the uncertainty set is proposed in the scenario of open-loop identification for control. The estimated system is described by a linear time-invariant SISO system of known order n with unknown-but-bounded modeling error in discrete time. Key in this approach is to consider a 2n-periodic input sequence and to establish sufficient conditions ensuring boundedness of the uncertainty set in finite time. An iterative input design involving a single design parameter leads then to an uncertainty set which uniformly decreases with time.

KW - METIS-217810

KW - IR-47389

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DO - 10.1109/CDC.2003.1272424

M3 - Conference contribution

SN - 0-7803-7925-X

VL - 5

SP - 5011

EP - 5016

BT - Proceedings 42nd IEEE Conference on Decision and Control 2003

PB - IEEE

CY - Piscataway, NJ

Y2 - 9 December 2003 through 12 December 2003

ER -

Set-membership identification for adaptive control: Input design

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Keywords

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