Improved delay-dependent stability criteria for networked control systems via discrete Wirtinger-based inequality

Jin Zhang, Chen Peng, Shaodong Ma, Jie Jiang

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

Abstract

This paper introduces a discrete Wirtinger-based inequality to investigate the problem of delay-dependent stability analysis of networked control systems. Firstly, a discrete-time system with an interval time-varying delay is used to describe networked control systems with quality-of-service constraints. Then, by constructing a novel augmented Lyapunov-Krasovskii functional and applying the discrete Wirtinger-based inequality and reciprocally convex approach to deal with the sum items in the derivation of the results, two delay-dependent stability criteria are obtained in terms of linear matrix inequalities (LMIs). Numerical examples are provided to show that the derived stability criteria can provide a larger allowable upper delay bound than some existing results while depending on less scalar decision variables.

Original languageEnglish
Title of host publicationIECON 2015 - 41st Annual Conference of the IEEE Industrial Electronics Society
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages416-420
Number of pages5
ISBN (Electronic)9781479917624
DOIs
StatePublished - 2015
Externally publishedYes
Event41st Annual Conference of the IEEE Industrial Electronics Society, IECON 2015 - Yokohama, Japan
Duration: 9 Nov 201512 Nov 2015

Publication series

NameIECON 2015 - 41st Annual Conference of the IEEE Industrial Electronics Society

Conference

Conference41st Annual Conference of the IEEE Industrial Electronics Society, IECON 2015
Country/TerritoryJapan
CityYokohama
Period9/11/1512/11/15

Keywords

  • Delays
  • Linear matrix inequalities
  • Networked control systems
  • Stability criteria
  • Symmetric matrices

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