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Interval Observers Design for Discrete-Time Linear Switched Systems

  • Ghassen Marouani
  • , Thach Ngoc Dinh
  • , Zhenhua Wang
  • , Tarek Raïssi*
  • , Hassani Messaoud
  • *Corresponding author for this work
  • University of Monastir
  • Conservatoire national des arts et métiers
  • School of Astronautics, Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this chapter, we detail different steps to design an interval observer for discrete-time switched linear systems affected by disturbances and measurement noises which are assumed unknown but, bounded with known bounds. The idea is based on the introduction of new matrices to handle the design difficulty of coordinate transformation often used in interval observers synthesis and to provide more design degrees of freedom. The stability conditions of estimation errors are discussed using a common quadratic Lyapunov function and multiple quadratic Lyapunov functions under an average dwell time switching signals. To discuss the effectiveness of the presented methods, a numerical example is given.

Original languageEnglish
Title of host publicationStudies in Systems, Decision and Control
PublisherSpringer Science and Business Media Deutschland GmbH
Pages245-268
Number of pages24
DOIs
StatePublished - 2022
Externally publishedYes

Publication series

NameStudies in Systems, Decision and Control
Volume414
ISSN (Print)2198-4182
ISSN (Electronic)2198-4190

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