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On the existence of nominal plants

  • Ahmed K. El-Sakkary*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we consider single-input single-output (SISO) linear time-invariant systems represented by their 'meromorphic' transfer functions, k(s). Weassume that k(s) is representative of a given set of uncertainty containing k, and we would like to introduce conditions for determining if a nominal plant exists for k, which would then be used for both analysis and design. It is shown that uncertainty sets representing marginally stable (or unstable) dipoles do not possess nominal plants. Some concluding remarks and suggestions for future research are provided.

Original languageEnglish
Pages (from-to)2093-2095
Number of pages3
JournalInternational Journal of Control
Volume50
Issue number5
DOIs
StatePublished - Nov 1989

Bibliographical note

Funding Information:
The author would like to acknowledge the support of King Fahd University of Petroleum and Minerals for the research work reported in this paper.

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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