Robust Stabilization of Sampled-Data Systems to Structured LTI Perturbations

Geir Dullerud, Keith Glover

Research output: Contribution to journalArticlepeer-review

Abstract

Sampled-data systems are considered with stable, structured, LTI perturbations in the half-plane algebra applied to the continuous-time plant. Necessary and sufficient conditions are derived for robust ℒ2 stability of such sampled-data systems. An example is provided to illustrate the results, and shows that the small gain theorem can be an extremely conservative robustness test in this sampled-data context.

Original languageEnglish (US)
Pages (from-to)1497-1508
Number of pages12
JournalIEEE Transactions on Automatic Control
Volume38
Issue number10
DOIs
StatePublished - Oct 1993
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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