Control under quantization, saturation and delay: An LMI approach

E. M. Fridman, Michel Dambrine

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper studies quantized and delayed state-feedback control of linear systems. We consider two types of quantization: quantized feedback and quantized state. The quantizer may be either unconstrained or saturated with a given quantization error bound. The delay is supposed to be time-varying and bounded. The controller is designed with the following property: all the states of the closed-loop system (starting from a neighborhood of the origin in the saturated case) exponentially converge to some bounded region in the state space. The design procedure is given in terms of Linear Matrix Inequalities (LMIs), derived via Lyapunov-Krasovskii functional and comparison principle.

Original languageEnglish
Title of host publicationProceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Edition1 PART 1
DOIs
StatePublished - 2008
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: 6 Jul 200811 Jul 2008

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume17
ISSN (Print)1474-6670

Conference

Conference17th World Congress, International Federation of Automatic Control, IFAC
Country/TerritoryKorea, Republic of
CitySeoul
Period6/07/0811/07/08

Keywords

  • Delay systems
  • LMIs
  • Systems with saturation

Fingerprint

Dive into the research topics of 'Control under quantization, saturation and delay: An LMI approach'. Together they form a unique fingerprint.

Cite this