A decomposition approach to distributed control of spatially invariant systems

Jeff S. Shamma*, Gürdal Arslan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

This note considers the decentralized control of spatially invariant systems, i.e., systems of homogeneous interacting components. The main idea is for individual components to model interactions with neighbors as disturbances that satisfy certain magnitude bounds while simultaneously self-imposing symmetric magnitude bounds. These magnitude bounds can be interpreted as negotiated levels of interaction among components. It turns out that this approach is equivalent to constructing a feedback that is robustly stabilizing with structured uncertainties.

Original languageEnglish (US)
Pages (from-to)701-707
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume51
Issue number4
DOIs
StatePublished - Apr 1 2006

Keywords

  • Constrained systems
  • Spatially invariant systems
  • Vehicular platoons

ASJC Scopus subject areas

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

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