Memory state feedback control synthesis for linear systems with time delay via a finite number of linear matrix inequalities

Takehito Azuma, Kojiro Ikeda, Taku Kondo, Kenko Uchida

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    31 Citations (Scopus)


    In this paper, we consider a synthesis problem of delay-dependent memory state feedback control which stabilizes linear time-delay systems. First we derive conditions for stability analysis and controller synthesis in the form of infinite-dimensional (parameter-dependent) linear matrix inequalities (LMIs), while infinite dimensionality of the LMIs may lead to less conservative results, but makes the conditions difficult to use. Second we show a technique to reduce the infinite-dimensional LMIs to a finite number of LMIs. A numerical example is given to demonstrate out approach.

    Original languageEnglish
    Pages (from-to)217-228
    Number of pages12
    JournalComputers and Electrical Engineering
    Issue number3
    Publication statusPublished - 2002 Apr



    • Linear matrix inequalities
    • State feedback control
    • Time-delay systems

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Electrical and Electronic Engineering

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