Memory observer-based output feedback control for linear time-delay systems

Takehito Azuma, Hiroyuki Naito, Seiichi Sagara, Masayuki Fujita, Kenko Uchida

Research output: Contribution to journalConference article

2 Citations (Scopus)


This paper considers synthesis problems of stabilizing dynamic output feedback controllers for linear time-delay systems via infinite-dimensional Linear Matrix Inequality (LMI) approach. We derive an existence condition and an explicit formula of dynamic output feedback controllers for linear time-delay systems, which guarantee the internal stability of the closed loop systems. The derived dynamic output feedback controllers can be interpreted as controllers which consist of memory state feedback controllers and memory observers. Next, we introduce a technique to reduce conditions for synthesis in the form of infinitedimensional LMIs to a finite number of LMIs. and present a feasible algorithm for synthesis of controllers based on the finite-dimensional LMIs. Finally we demonstrate the efficacy of the proposed dynamic output feedback controllers by a numerical case study.

Original languageEnglish
Pages (from-to)209-214
Number of pages6
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Issue number19
Publication statusPublished - 2003 Jan 1
Event4th IFAC Workshop on Time Delay Systems, TDS 2003 - Rocquencourt, France
Duration: 2003 Sep 82003 Sep 10



  • Linear matrix inequality
  • Linear time-delay systems
  • Output feedback control
  • Stabilization

ASJC Scopus subject areas

  • Control and Systems Engineering

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