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

27 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
Pages946-951
Number of pages6
Publication statusPublished - 2005 Dec 1
Event16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague, Czech Republic
Duration: 2005 Jul 32005 Jul 8

Publication series

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

Conference

Conference16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005
CountryCzech Republic
CityPrague
Period05/7/305/7/8

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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  • Cite this

    Zhai, G., Mi, Y., Imae, J., & Kobayashi, T. (2005). Design of H∞ feedback control systems with quantized signals. In Proceedings of the 16th IFAC World Congress, IFAC 2005 (pp. 946-951). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 16).