Distributed control design for systems interconnected over an arbitrary graph

Cédric Langbort, Ramu Sharat Chandra, Raffaello D'Andrea

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the problem of synthesizing a distributed dynamic output feedback controller achieving H performance for a system composed of different interconnected sub-units, when the topology of the underlying graph is arbitrary. First, using tools inspired by dissipativity theory, we derive sufficient conditions in the form of finite-dimensional linear matrix inequalities when the interconnections are assumed to be ideal. These inequalities are coupled in a way that reflects the spatial structure of the problem and can be exploited to design distributed synthesis algorithms. We then investigate the case of lossy interconnection links and derive similar results for systems whose interconnection relations can be captured by a class of integral quadratic constraints that includes constant delays.

Original languageEnglish (US)
Pages (from-to)1502-1519
Number of pages18
JournalIEEE Transactions on Automatic Control
Volume49
Issue number9
DOIs
StatePublished - Sep 2004
Externally publishedYes

ASJC Scopus subject areas

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

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