Optimal decentralized controllers for spatially invariant systems

Petros 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 neighbouring sites. Such a structure arises naturally from spatio-temporal discretizations of many physical systems described by partial differential equations. We consider the problem of optimal design of distributed controllers that have the same information passing delay structure as the plant. We show how the YJBK parametrization of such stabilizing controllers yields a convex parametrization for this class. We then show how the optimal H2 problem can be solved exactly.

Original languageEnglish (US)
Pages (from-to)3763-3768
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
DOIs
StatePublished - Dec 2000

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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