Distributed design methods for linear quadratic control and their limitations

Cédric Langbort, Jean Charles Delvenne

Research output: Contribution to journalArticle

Abstract

We introduce the notion of distributed design methods, which construct controllers by accessing a plant's description in a constrained manner. We propose performance and information metrics for these design methods, and investigate the connection between closed-loop performance of the best controller they can produce and the amount of exchanged information about the plant. For a class of linear discrete-time, time invariant plants, we show that any communication-less distributed control method results in controllers whose performance is, at least, twice the optimal in the worst-case. We then give a bound on the minimal amount of exchanged information necessary to beat the best communication-less design strategy. We also show that, in the case of continuous-time plants, the worst-case performance of controllers constructed by communication-less design strategies is unbounded.

Original languageEnglish (US)
Pages (from-to)2085-2093
Number of pages9
JournalIEEE Transactions on Automatic Control
Volume55
Issue number9
DOIs
StatePublished - Sep 1 2010

Keywords

  • Distributed computing
  • Distributed control
  • Optimal control

ASJC Scopus subject areas

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

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