Robustness bounds for sampled-data linear time-delay systems

F. M. Al-Sunni*, E. K. Boukas, S. H. Al-Amer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper robustness bounds for sampled-data linear time-delay systems are developed. The uncertainty is assumed to be on both the A and B matrices of the continuous-time system. The bounds developed are in terms of the maximum singular values of uncertainties in the continuous-time domain. Cases of small (less than or equal to the sampling time) and long time delays are considered. For each of the cases, the bounds are developed for the general uncertain continuous time-delay system as well as the system with uncertainty in A or B only. An example illustrating the findings of this paper is presented.

Original languageEnglish
Pages (from-to)497-504
Number of pages8
JournalProceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Volume217
Issue number6
DOIs
StatePublished - 2003

Keywords

  • Robustness
  • Sampled-data systems
  • Stability bounds
  • Time delay

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering

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