A convex characterization of distributed control problems in spatially invariant systems with communication constraints

Bassam Bamieh, Petros G. Voulgaris

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we consider the problem of distributed controller design in spatially invariant systems for which communication among sites is limited. In particular, the controller is constrained so that information is propagated with a delay that depends on the distance between subsystems - a structure we refer to as "funnel" causality. We show that the problem of optimal design can be cast as a convex problem provided that the plant has a similar funnel-causality structure, and the propagation speeds in the controller are at least as fast as those in the plant. As an example, we consider the case of the wave dynamics with limited propagation speed control.

Original languageEnglish (US)
Pages (from-to)575-583
Number of pages9
JournalSystems and Control Letters
Volume54
Issue number6
DOIs
StatePublished - Jun 2005

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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