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

doi:10.1016/j.automatica.2010.01.002

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

Research output: Contribution to journal › Article › Academic › peer-review

90 Citations (Scopus)

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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 language	English
Pages (from-to)	615-619
Number of pages	5
Journal	Automatica
Volume	46
Issue number	3
DOIs	https://doi.org/10.1016/j.automatica.2010.01.002
Publication status	Published - 2010

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title = "On polytopic inclusions as a modeling framework for systems with time-varying delays",

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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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

Y1 - 2010

N2 - 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.

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

SN - 0005-1098

VL - 46

SP - 615

EP - 619

JO - Automatica

JF - Automatica

IS - 3

ER -

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

Abstract

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