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

Daiki Minagawa, Yutaka Uchimura

Research output: Contribution to journalArticle


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
Issue number5
Publication statusPublished - 2015 May 1



  • 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