A Framework for Control System Design Subject to Average Data-Rate Constraints

Eduardo Silva, Milan Derpich, Jan Østergaard

Research output: Contribution to journalJournal articleResearchpeer-review

40 Citations (Scopus)
440 Downloads (Pure)

Abstract

This paper studies discrete-time control systems subject to average data-rate limits. We focus on a situation where a noisy linear system has been designed assuming transparent feedback and, due to implementation constraints, a source-coding scheme (with unity signal transfer function) has to be deployed in the feedback path. For this situation, and by focusing on a class of source-coding schemes built around entropy coded dithered quantizers, we develop a framework to deal with average data-rate constraints in a tractable manner that combines ideas from both information and control theories. As an illustration of the uses of our framework, we apply it to study the interplay between stability and average data-rates in the considered architecture. It is shown that the proposed class of coding schemes can achieve mean square stability at average data-rates that are, at most, 1.254 bits per sample away from the absolute minimum rate for stability established by Nair and Evans. This rate penalty is
compensated by the simplicity of our approach.
Original languageEnglish
JournalI E E E Transactions on Automatic Control
Volume56
Issue number8
Pages (from-to)1886 - 1899
Number of pages14
ISSN0018-9286
DOIs
Publication statusPublished - Aug 2011

Cite this