On polytopic inclusions as a modeling framework for systems with time-varying delays

R.H. Gielen, S. Olaru, M. Lazar, W.P.M.H. Heemels, N. Wouw, van de, S-I. Niculescu

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Abstract

One of the important issues in networked control systems is the appropriate handling of the nonlinearities arising from uncertain time-varying delays. In this paper, using the Cayley–Hamilton theorem, we develop a novel method for creating discrete-time models of linear systems with time-varying input delays based on polytopic inclusions. The proposed method is compared with existing approaches in terms of conservativeness, scalability and suitability for controller synthesis.
Original languageEnglish
Pages (from-to)615-619
Number of pages5
JournalAutomatica
Volume46
Issue number3
DOIs
Publication statusPublished - 2010

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Networked control systems
Linear systems
Scalability
Controllers

Cite this

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abstract = "One of the important issues in networked control systems is the appropriate handling of the nonlinearities arising from uncertain time-varying delays. In this paper, using the Cayley–Hamilton theorem, we develop a novel method for creating discrete-time models of linear systems with time-varying input delays based on polytopic inclusions. The proposed method is compared with existing approaches in terms of conservativeness, scalability and suitability for controller synthesis.",
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On polytopic inclusions as a modeling framework for systems with time-varying delays. / Gielen, R.H.; Olaru, S.; Lazar, M.; Heemels, W.P.M.H.; Wouw, van de, N.; Niculescu, S-I.

In: Automatica, Vol. 46, No. 3, 2010, p. 615-619.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - On polytopic inclusions as a modeling framework for systems with time-varying delays

AU - Gielen, R.H.

AU - Olaru, S.

AU - Lazar, M.

AU - Heemels, W.P.M.H.

AU - Wouw, van de, N.

AU - Niculescu, S-I.

PY - 2010

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AB - One of the important issues in networked control systems is the appropriate handling of the nonlinearities arising from uncertain time-varying delays. In this paper, using the Cayley–Hamilton theorem, we develop a novel method for creating discrete-time models of linear systems with time-varying input delays based on polytopic inclusions. The proposed method is compared with existing approaches in terms of conservativeness, scalability and suitability for controller synthesis.

U2 - 10.1016/j.automatica.2010.01.002

DO - 10.1016/j.automatica.2010.01.002

M3 - Article

VL - 46

SP - 615

EP - 619

JO - Automatica

JF - Automatica

SN - 0005-1098

IS - 3

ER -