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

Other

Other2014 13th IEEE International Workshop on Advanced Motion Control, AMC 2014
CityYokohama
Period14/3/1414/3/16

Fingerprint

Time delay
Stabilization
Controllers

ASJC Scopus subject areas

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

Cite this

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

Stabilization of systems with time-varying delay based on complete quadratic Lyapunov-Krasovskii functional. / Minagawa, Daiki; Uchimura, Yutaka.

International Workshop on Advanced Motion Control, AMC. Institute of Electrical and Electronics Engineers Inc., 2014. p. 110-115 6823265.

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

Minagawa, D & Uchimura, Y 2014, Stabilization of systems with time-varying delay based on complete quadratic Lyapunov-Krasovskii functional. in International Workshop on Advanced Motion Control, AMC., 6823265, Institute of Electrical and Electronics Engineers Inc., pp. 110-115, 2014 13th IEEE International Workshop on Advanced Motion Control, AMC 2014, Yokohama, 14/3/14. https://doi.org/10.1109/AMC.2014.6823265
Minagawa D, Uchimura Y. Stabilization of systems with time-varying delay based on complete quadratic Lyapunov-Krasovskii functional. In International Workshop on Advanced Motion Control, AMC. Institute of Electrical and Electronics Engineers Inc. 2014. p. 110-115. 6823265 https://doi.org/10.1109/AMC.2014.6823265
Minagawa, Daiki ; Uchimura, Yutaka. / Stabilization of systems with time-varying delay based on complete quadratic Lyapunov-Krasovskii functional. International Workshop on Advanced Motion Control, AMC. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 110-115
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