Optimal H and H2 control of hybrid multirate systems

Petros G. Voulgaris, Bassam Bamieh

Research output: Contribution to journalArticlepeer-review


The problem of using a synchronous multirate digital controller for a continuous-time plant is considered. The performance objectives considered are the H and the H2 norms of the periodically time-varying continuous-time input-output behavior of the closed loop system. A continuous-time lifting technique is used to solve these hybrid sampled-data problems. This approach yields equivalent purely discrete-time problems while preserving the multirate causality of the systems. The later problems can then be solved using known techniques.

Original languageEnglish (US)
Pages (from-to)249-261
Number of pages13
JournalSystems and Control Letters
Issue number4
StatePublished - Apr 1993


  • H-optimal
  • H-optimal
  • Multirate
  • lifting
  • sampled-data

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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