An LMI solution to the robust synthesis problem for multi-rate sampled-data systems

Sanjay Lall, Geir E Dullerud

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we address the asynchronous multi-rate sampled-data H synthesis problem. Necessary and sufficient conditions are given for the existence of a controller achieving the desired performance, and the problem is shown to be equivalent to a convex optimization problem expressed in the form of linear operator inequalities. In the case where the sample and hold rates are synchronous, these operator inequalities reduce to linear matrix inequalities, for which standard numerical software is available.

Original languageEnglish (US)
Pages (from-to)1909-1922
Number of pages14
JournalAutomatica
Volume37
Issue number12
DOIs
StatePublished - Dec 1 2001

Keywords

  • H control
  • Linear matrix inequalities
  • Multi-rate control
  • Sampled-data systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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