H-infinity error bounds in approximating time-delay systems

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

doi:10.1243/095965103770041742

H-infinity error bounds in approximating 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 › Article › peer-review

1 Scopus citations

Abstract

In this paper, upper and lower bounds on approximating time-delay systems are proposed. Bounds on the infinity norm of the weighted error are obtained when the approximating function is a general rational function, an all-pass function or Padé and Laguerre approximations. In addition, approximations of the weighted errors for both Padé and Laguerre approximating functions are developed. Examples are presented in illustration.

Original language	English
Pages (from-to)	421-426
Number of pages	6
Journal	Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Volume	217
Issue number	5
DOIs	https://doi.org/10.1243/095965103770041742
State	Published - 2003

Keywords

Approximation of time-delay systems
Error bound
H

ASJC Scopus subject areas

Control and Systems Engineering
Mechanical Engineering

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10.1243/095965103770041742

Cite this

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abstract = "In this paper, upper and lower bounds on approximating time-delay systems are proposed. Bounds on the infinity norm of the weighted error are obtained when the approximating function is a general rational function, an all-pass function or Pad{\'e} and Laguerre approximations. In addition, approximations of the weighted errors for both Pad{\'e} and Laguerre approximating functions are developed. Examples are presented in illustration.",

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AB - In this paper, upper and lower bounds on approximating time-delay systems are proposed. Bounds on the infinity norm of the weighted error are obtained when the approximating function is a general rational function, an all-pass function or Padé and Laguerre approximations. In addition, approximations of the weighted errors for both Padé and Laguerre approximating functions are developed. Examples are presented in illustration.

KW - Approximation of time-delay systems

KW - Error bound

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DO - 10.1243/095965103770041742

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JF - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

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ER -

H-infinity error bounds in approximating time-delay systems

Abstract

Keywords

ASJC Scopus subject areas

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