Stabilizing controller design of system with time-varying delay based on the complete quadratic Lyapunov-Krasovskii functional

Yutaka Uchimura, Daiki Minagawa

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

Abstract

This paper describes a design procedure of a stabilizing controller for a system with time-varying delay based on the quadratic complete Lyapunov-Krasovskii functional. The proposed method leads the stabilizing problem to a convex problem and gives a stabilizing condition in the linear matrix inequality form. It also includes a H controller design with a performance weight which shapes the sensitivity of the closed loop system. The feedback system with the proposed controller is evaluated by numerical simulations and the results verified the proposed method stabilized the system with time-varying delay.

Original languageEnglish
Title of host publicationProceedings, IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4806-4811
Number of pages6
ISBN (Print)9781479940325
DOIs
Publication statusPublished - 2014 Feb 24
Event40th Annual Conference of the IEEE Industrial Electronics Society, IECON 2014 - Dallas, United States
Duration: 2014 Oct 302014 Nov 1

Other

Other40th Annual Conference of the IEEE Industrial Electronics Society, IECON 2014
CountryUnited States
CityDallas
Period14/10/3014/11/1

Fingerprint

Controllers
Linear matrix inequalities
Closed loop systems
Feedback
Computer simulation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Uchimura, Y., & Minagawa, D. (2014). Stabilizing controller design of system with time-varying delay based on the complete quadratic Lyapunov-Krasovskii functional. In Proceedings, IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society (pp. 4806-4811). [7049228] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IECON.2014.7049228

Stabilizing controller design of system with time-varying delay based on the complete quadratic Lyapunov-Krasovskii functional. / Uchimura, Yutaka; Minagawa, Daiki.

Proceedings, IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society. Institute of Electrical and Electronics Engineers Inc., 2014. p. 4806-4811 7049228.

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

Uchimura, Y & Minagawa, D 2014, Stabilizing controller design of system with time-varying delay based on the complete quadratic Lyapunov-Krasovskii functional. in Proceedings, IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society., 7049228, Institute of Electrical and Electronics Engineers Inc., pp. 4806-4811, 40th Annual Conference of the IEEE Industrial Electronics Society, IECON 2014, Dallas, United States, 14/10/30. https://doi.org/10.1109/IECON.2014.7049228
Uchimura Y, Minagawa D. Stabilizing controller design of system with time-varying delay based on the complete quadratic Lyapunov-Krasovskii functional. In Proceedings, IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society. Institute of Electrical and Electronics Engineers Inc. 2014. p. 4806-4811. 7049228 https://doi.org/10.1109/IECON.2014.7049228
Uchimura, Yutaka ; Minagawa, Daiki. / Stabilizing controller design of system with time-varying delay based on the complete quadratic Lyapunov-Krasovskii functional. Proceedings, IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 4806-4811
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