Output feedback controller based on a complete quadratic Lyapunov-Krasovskii functional for time-delay systems

Daiki Minagawa, Yutaka Uchimura

Research output: Contribution to journalArticle

Abstract

This paper describes a stabilizing output feedback controller for a time-delay system that is derived from a complete quadratic Lyapunov-Krasovskii functional. Because the complete quadratic Lyapunov-Krasovskii functional contains nonconstant coefficients for its decision variables, the stabilizing problem is more difficult to solve than the stability problem. Instead, this paper introduces a null term with a value of zero to convert the derivative of the Lyapunov-Krasovskii functional into a quadratic form and avoid the multiplication of decision variables. The controller design procedure is given by a stability condition based on the linear matrix inequality. The performance of the proposed controller is weighted to consider the dynamics of the controlled plant.

Original languageEnglish
Pages (from-to)50-58
Number of pages9
JournalElectronics and Communications in Japan
Volume98
Issue number5
DOIs
Publication statusPublished - 2015 May 1

Fingerprint

Time delay
controllers
time lag
Feedback
Controllers
output
Linear matrix inequalities
multiplication
Derivatives
coefficients

Keywords

  • linear matrix inequality
  • Lyapunov-Krasovskii functional
  • output feedback
  • performance weight
  • time-delay systems

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications
  • Physics and Astronomy(all)
  • Signal Processing
  • Applied Mathematics

Cite this

Output feedback controller based on a complete quadratic Lyapunov-Krasovskii functional for time-delay systems. / Minagawa, Daiki; Uchimura, Yutaka.

In: Electronics and Communications in Japan, Vol. 98, No. 5, 01.05.2015, p. 50-58.

Research output: Contribution to journalArticle

@article{76ed3cb4acd84d8a9b28fd1a7f43c39a,
title = "Output feedback controller based on a complete quadratic Lyapunov-Krasovskii functional for time-delay systems",
abstract = "This paper describes a stabilizing output feedback controller for a time-delay system that is derived from a complete quadratic Lyapunov-Krasovskii functional. Because the complete quadratic Lyapunov-Krasovskii functional contains nonconstant coefficients for its decision variables, the stabilizing problem is more difficult to solve than the stability problem. Instead, this paper introduces a null term with a value of zero to convert the derivative of the Lyapunov-Krasovskii functional into a quadratic form and avoid the multiplication of decision variables. The controller design procedure is given by a stability condition based on the linear matrix inequality. The performance of the proposed controller is weighted to consider the dynamics of the controlled plant.",
keywords = "linear matrix inequality, Lyapunov-Krasovskii functional, output feedback, performance weight, time-delay systems",
author = "Daiki Minagawa and Yutaka Uchimura",
year = "2015",
month = "5",
day = "1",
doi = "10.1002/ecj.11739",
language = "English",
volume = "98",
pages = "50--58",
journal = "Electronics and Communications in Japan",
issn = "1942-9533",
publisher = "Scripta Technica",
number = "5",

}

TY - JOUR

T1 - Output feedback controller based on a complete quadratic Lyapunov-Krasovskii functional for time-delay systems

AU - Minagawa, Daiki

AU - Uchimura, Yutaka

PY - 2015/5/1

Y1 - 2015/5/1

N2 - This paper describes a stabilizing output feedback controller for a time-delay system that is derived from a complete quadratic Lyapunov-Krasovskii functional. Because the complete quadratic Lyapunov-Krasovskii functional contains nonconstant coefficients for its decision variables, the stabilizing problem is more difficult to solve than the stability problem. Instead, this paper introduces a null term with a value of zero to convert the derivative of the Lyapunov-Krasovskii functional into a quadratic form and avoid the multiplication of decision variables. The controller design procedure is given by a stability condition based on the linear matrix inequality. The performance of the proposed controller is weighted to consider the dynamics of the controlled plant.

AB - This paper describes a stabilizing output feedback controller for a time-delay system that is derived from a complete quadratic Lyapunov-Krasovskii functional. Because the complete quadratic Lyapunov-Krasovskii functional contains nonconstant coefficients for its decision variables, the stabilizing problem is more difficult to solve than the stability problem. Instead, this paper introduces a null term with a value of zero to convert the derivative of the Lyapunov-Krasovskii functional into a quadratic form and avoid the multiplication of decision variables. The controller design procedure is given by a stability condition based on the linear matrix inequality. The performance of the proposed controller is weighted to consider the dynamics of the controlled plant.

KW - linear matrix inequality

KW - Lyapunov-Krasovskii functional

KW - output feedback

KW - performance weight

KW - time-delay systems

UR - http://www.scopus.com/inward/record.url?scp=84926659994&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84926659994&partnerID=8YFLogxK

U2 - 10.1002/ecj.11739

DO - 10.1002/ecj.11739

M3 - Article

AN - SCOPUS:84926659994

VL - 98

SP - 50

EP - 58

JO - Electronics and Communications in Japan

JF - Electronics and Communications in Japan

SN - 1942-9533

IS - 5

ER -