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 non-constant 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)276-283
Number of pages8
JournalIEEJ Transactions on Industry Applications
Volume134
Issue number3
DOIs
Publication statusPublished - 2014

Fingerprint

Time delay
Feedback
Controllers
Linear matrix inequalities
Derivatives

Keywords

  • Linear matrix inequality
  • Lyapunov-Krasovskii functional
  • Output feed
  • Performance weight
  • Time-delay systems

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Industrial and Manufacturing Engineering

Cite this

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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 non-constant 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.

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