Supervisory control of uncertain systems with quantized information

Research output: Contribution to journalArticlepeer-review

Abstract

This work addresses the problem of stabilizing uncertain systems with quantized outputs using the supervisory control framework, in which a finite family of candidate controllers is employed together with an estimator-based switching logic to select the active controller at every time. For static quantizers, we provide a relationship between the quantization range and the quantization error bound that guarantees closed-loop stability. Such a condition also implies a lower bound on the number of information bits needed to guarantee stability of a supervisory control scheme with quantized information. For dynamic quantizers that can vary the quantization parameters in real time, we show that the closed loop can be asymptotically stabilized, provided that additional conditions on the quantization range and the quantization error bound are satisfied.

Original languageEnglish (US)
Pages (from-to)739-756
Number of pages18
JournalInternational Journal of Adaptive Control and Signal Processing
Volume26
Issue number8
DOIs
StatePublished - Aug 1 2012

Keywords

  • adaptive control
  • quantization
  • supervisory control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Electrical and Electronic Engineering

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