A new criterion for estimating robust time delays for closed-loop stability

Ahmed K. El-Sakkary

doi:10.1109/9.45182

A new criterion for estimating robust time delays for closed-loop stability

Ahmed K. El-Sakkary^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

3 Scopus citations

Abstract

The objective of this paper is to provide a new formula for estimating robust time delays for closed-loop stability. Here, we consider continuous SISO linear time-invariant systems represented by their rational transfer functions which are not necessarily stable. The proposed formula is derived based on the symmetric Rouche form [1], [2] which has been recently adapted by the author as a robustness tool [3], [4]. The new formula is less conservative compared to a previous formula developed by the author using the small gain theorem [5].

Original language	English
Pages (from-to)	209-210
Number of pages	2
Journal	IEEE Transactions on Automatic Control
Volume	35
Issue number	2
DOIs	https://doi.org/10.1109/9.45182
State	Published - Feb 1990

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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Cite this

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abstract = "The objective of this paper is to provide a new formula for estimating robust time delays for closed-loop stability. Here, we consider continuous SISO linear time-invariant systems represented by their rational transfer functions which are not necessarily stable. The proposed formula is derived based on the symmetric Rouche form [1], [2] which has been recently adapted by the author as a robustness tool [3], [4]. The new formula is less conservative compared to a previous formula developed by the author using the small gain theorem [5].",

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A new criterion for estimating robust time delays for closed-loop stability

Abstract

ASJC Scopus subject areas

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