Optimal signaling policies for decentralized multicontroller stabilizability over communication channels

Serdar Yüksel, Tamer Başar

Research output: Contribution to journalArticlepeer-review


In this note, we study the problem of distributed control over communication channels, where a number of distributed stations collaborate to stabilize a linear system. We quantify the rate requirements and obtain optimal signaling, coding and control schemes for decentralized stabilizability in such multicontroller systems. We show that in the absence of a centralized decoder at the plant, there is in general a rate loss in decentralized systems as compared to a centralized system. This result is in contrast with the absence of rate loss in the stabilization of multisensor systems. Furthermore, there is rate loss even if explicit channels are available between the stations. We obtain the minimum data rates needed in terms of the open-loop system matrix and the connectivity graph of the decentralized system, and obtain the optimal signaling policies. We also present constructions leading to stability. In addition, we show that if there are dedicated channels connecting the controllers, rate requirements become more lenient, and as a result strong connectivity is not required for decentralized stabilizability. We determine the minimum number of such external channels leading to a stable system, in case strong connectivity is absent.

Original languageEnglish (US)
Pages (from-to)1969-1974
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number10
StatePublished - Oct 2007


  • Cooperative control
  • Decentralized stabilization
  • Distributed control
  • Information theory

ASJC Scopus subject areas

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


Dive into the research topics of 'Optimal signaling policies for decentralized multicontroller stabilizability over communication channels'. Together they form a unique fingerprint.

Cite this