Design of H∞ feedback control systems with quantized signals

Guisheng Zhai, Yanchun Mi, Joe Imae, Tomoaki Kobayashi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

29 Citations (Scopus)

Abstract

in this paper, we consider design of H∞ feedback control systems with quantized signals. We first assume that a state feedback has been designed for a continuous-time LTI system so that the closed-loop system is (Hurwitz) stable and a desired H∞ disturbance attenuation level is achieved, and that the states are quantized before they are passed to the controller. We propose a statedependent strategy for updating the quantizer's parameter, so that the system is asymptotically stable and achieves the same H∞ disturbance attenuation level. We then extend the result to the case of observer-based dynamic output feedback where the measurement outputs are quantized, and propose an output-dependent strategy for updating the quantizer's parameter.

Original languageEnglish
Title of host publicationProceedings of the 16th IFAC World Congress, IFAC 2005
PublisherIFAC Secretariat
Pages946-951
Number of pages6
ISBN (Print)008045108X, 9780080451084
DOIs
Publication statusPublished - 2005
Externally publishedYes

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume16
ISSN (Print)1474-6670

Keywords

  • Continuous-time LTI system
  • H∞ control
  • Observer-based output feedback
  • Quantization
  • Quantizer
  • Riccati equation
  • State feedback

ASJC Scopus subject areas

  • Control and Systems Engineering

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