Stabilization of systems with time-varying delay based on complete quadratic Lyapunov-Krasovskii functional

Daiki Minagawa, Yutaka Uchimura

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

Abstract

This paper describes a stabilizing condition based on the complete quadratic Lyapunov-Krasovskii functional for systems with time-varying delay. In the conventional method for deriving the stabilizing condition based on the complete quadratic Lyapunov-Krasovskii functional, only time-invariant delay has been considered. In contrast, the stabilizing condition of the proposed method depends on the maximum value of the time-varying delay, as well as the upper limit of the rate of change of the time-varying delay. Consequently, we can design a controller that considers time-varying delay.

Original languageEnglish
Title of host publication2014 IEEE 13th International Workshop on Advanced Motion Control, AMC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages110-115
Number of pages6
ISBN (Print)9781479923243
DOIs
Publication statusPublished - 2014 Jan 1
Event2014 13th IEEE International Workshop on Advanced Motion Control, AMC 2014 - Yokohama, Japan
Duration: 2014 Mar 142014 Mar 16

Publication series

NameInternational Workshop on Advanced Motion Control, AMC

Conference

Conference2014 13th IEEE International Workshop on Advanced Motion Control, AMC 2014
CountryJapan
CityYokohama
Period14/3/1414/3/16

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

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  • Cite this

    Minagawa, D., & Uchimura, Y. (2014). Stabilization of systems with time-varying delay based on complete quadratic Lyapunov-Krasovskii functional. In 2014 IEEE 13th International Workshop on Advanced Motion Control, AMC 2014 (pp. 110-115). [6823265] (International Workshop on Advanced Motion Control, AMC). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/AMC.2014.6823265