Optimal ℋ2 controllers for spatially invariant systems with delayed communication requirements

Petros G. Voulgaris, Gianni Bianchini, Bassam Bamieh

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the problem of optimal ℋ2 design of semi-decentralized controllers for a special class of spatially distributed systems. This class includes spatially invariant and distributed discrete-time systems with an inherent temporal delay in the interaction of neighboring sites. We consider the problem of optimal design of distributed controllers that have the same information passing delay structure as the plant. We show how for stable plants, the YJBK parameterization of such stabilizing controllers yields a convex parameterization for this class. We then show how the optimal ℋ2 problem can be solved.

Original languageEnglish (US)
Pages (from-to)347-361
Number of pages15
JournalSystems and Control Letters
Volume50
Issue number5
DOIs
StatePublished - Dec 16 2003

Keywords

  • Distributed systems
  • Spatial invariance
  • ℋ control

ASJC Scopus subject areas

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

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