Distributed control of spatially reversible interconnected systems with boundary conditions

Cédric Langbort, Raffaello D'Andrea

Research output: Contribution to journalArticlepeer-review

Abstract

We present a class of spatially interconnected systems with boundary conditions that have close links with their spatially invariant extensions. In particular, well-posedness, stability, and performance of the extension imply the same characteristics for the actual, finite extent system. In turn, existing synthesis methods for control of spatially invariant systems can be extended to this class. The relation between the two kinds of systems is proved using ideas based on the "method of images" of partial differential equations theory and uses symmetry properties of the interconnection as a key tool.

Original languageEnglish (US)
Pages (from-to)1-28
Number of pages28
JournalSIAM Journal on Control and Optimization
Volume44
Issue number1
DOIs
StatePublished - 2006
Externally publishedYes

Keywords

  • Boundary conditions
  • Spatially distributed control
  • Symmetric systems

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics

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