Quantized control via locational optimization

Francesco Bullo, Daniel Liberzon

Research output: Contribution to journalArticlepeer-review

Abstract

This paper studies state quantization schemes for feedback stabilization of control systems with limited information. The focus is on designing the least destabilizing quantizer subject to a given information constraint. We explore several ways of measuring the destabilizing effect of a quantizer on the closed-loop system, including (but not limited to) the worst-case quantization error. In each case, we show how quantizer design can be naturally reduced to a version of the so-called multicenter problem from locational optimization. Algorithms for obtaining solutions to such problems, all in terms of suitable Voronoi quantizers, are discussed. In particular, an iterative solver is developed for a novel weighted multicenter problem which most accurately represents the least destabilizing quantizer design. A simulation study is also presented.

Original languageEnglish (US)
Pages (from-to)2-13
Number of pages12
JournalIEEE Transactions on Automatic Control
Volume51
Issue number1
DOIs
StatePublished - Jan 2006

Keywords

  • Feedback stabilization
  • Locational optimization
  • Quantized control

ASJC Scopus subject areas

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

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