Approximation of time-delay systems

S. H. Al-Amer; F. M. Al-Sunni

doi:10.1109/acc.2000.878631

Approximation of time-delay systems

S. H. Al-Amer^*
, F. M. Al-Sunni

^*Corresponding author for this work

Department of Control and Instrumentation Engineering

Research output: Contribution to journal › Conference article › peer-review

26 Scopus citations

Abstract

We propose a new method for approximating time-delays in dynamical systems. A weighted H-infinity norm criterion is minimized to obtain rational approximation of e^-sd. We report the approximation in a diagram relating both the amount of time delay and the bandwidth to the order of the approximating rational function for a given level of infinity norm. The obtained approximations are compared to the widely used Pade's approximation. Examples are used for illustrations.

Original language	English
Pages (from-to)	2491-2495
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	4
DOIs	https://doi.org/10.1109/acc.2000.878631
State	Published - 2000

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/acc.2000.878631

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@article{288866f00bcd4912bc06d561fa5d03d0,

title = "Approximation of time-delay systems",

abstract = "We propose a new method for approximating time-delays in dynamical systems. A weighted H-infinity norm criterion is minimized to obtain rational approximation of e-sd. We report the approximation in a diagram relating both the amount of time delay and the bandwidth to the order of the approximating rational function for a given level of infinity norm. The obtained approximations are compared to the widely used Pade's approximation. Examples are used for illustrations.",

author = "Al-Amer, \{S. H.\} and Al-Sunni, \{F. M.\}",

year = "2000",

doi = "10.1109/acc.2000.878631",

language = "English",

volume = "4",

pages = "2491--2495",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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TY - JOUR

T1 - Approximation of time-delay systems

AU - Al-Amer, S. H.

AU - Al-Sunni, F. M.

PY - 2000

Y1 - 2000

N2 - We propose a new method for approximating time-delays in dynamical systems. A weighted H-infinity norm criterion is minimized to obtain rational approximation of e-sd. We report the approximation in a diagram relating both the amount of time delay and the bandwidth to the order of the approximating rational function for a given level of infinity norm. The obtained approximations are compared to the widely used Pade's approximation. Examples are used for illustrations.

AB - We propose a new method for approximating time-delays in dynamical systems. A weighted H-infinity norm criterion is minimized to obtain rational approximation of e-sd. We report the approximation in a diagram relating both the amount of time delay and the bandwidth to the order of the approximating rational function for a given level of infinity norm. The obtained approximations are compared to the widely used Pade's approximation. Examples are used for illustrations.

UR - https://www.scopus.com/pages/publications/0034540172

U2 - 10.1109/acc.2000.878631

DO - 10.1109/acc.2000.878631

M3 - Conference article

AN - SCOPUS:0034540172

SN - 0743-1619

VL - 4

SP - 2491

EP - 2495

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

ER -

Approximation of time-delay systems

Abstract

ASJC Scopus subject areas

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