Controller design based on complete quadratic Lyapunov-Krasovskii functional for time delay systems

Yutaka Uchimura; Masanori Nagahara

doi:10.1109/IECON.2012.6389392

Controller design based on complete quadratic Lyapunov-Krasovskii functional for time delay systems

Yutaka Uchimura, Masanori Nagahara

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

This paper describes a controller design method for time delay systems. Conventional design methods based on the Lyapunov-Krasovskii stability theorem may be conservative because they choose the Lyapunov functional to achieve a sufficient condition. In addition, conventional H_∞ performance design methods do not focus on the frequency property of a closed loop system; hence, it is difficult to obtain a controller that achieves the desired performance. This paper proposes a stabilizing condition based on a complete quadratic Lyapunov-Krasovskii functional and a controller design considering frequency-dependent performance.

Original language	English
Title of host publication	Proceedings, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society
Pages	3164-3169
Number of pages	6
DOIs	https://doi.org/10.1109/IECON.2012.6389392
Publication status	Published - 2012 Dec 1
Event	38th Annual Conference on IEEE Industrial Electronics Society, IECON 2012 - Montreal, QC, Canada Duration: 2012 Oct 25 → 2012 Oct 28

Publication series

Name	IECON Proceedings (Industrial Electronics Conference)

Conference

Conference	38th Annual Conference on IEEE Industrial Electronics Society, IECON 2012
Country/Territory	Canada
City	Montreal, QC
Period	12/10/25 → 12/10/28

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1109/IECON.2012.6389392

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Controller design based on complete quadratic Lyapunov-Krasovskii functional for time delay systems. / Uchimura, Yutaka; Nagahara, Masanori.

Proceedings, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society. 2012. p. 3164-3169 6389392 (IECON Proceedings (Industrial Electronics Conference)).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Uchimura, Y & Nagahara, M 2012, Controller design based on complete quadratic Lyapunov-Krasovskii functional for time delay systems. in Proceedings, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society., 6389392, IECON Proceedings (Industrial Electronics Conference), pp. 3164-3169, 38th Annual Conference on IEEE Industrial Electronics Society, IECON 2012, Montreal, QC, Canada, 12/10/25. https://doi.org/10.1109/IECON.2012.6389392

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Controller design based on complete quadratic Lyapunov-Krasovskii functional for time delay systems

Abstract

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