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

    Research output: Contribution to journalArticle

    31 Citations (Scopus)

    Abstract

    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
    Volume28
    Issue number3
    DOIs
    Publication statusPublished - 2002 Apr

    Fingerprint

    Linear matrix inequalities
    State feedback
    Feedback control
    Linear systems
    Time delay
    Data storage equipment
    Controllers

    Keywords

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

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Electrical and Electronic Engineering

    Cite this

    Memory state feedback control synthesis for linear systems with time delay via a finite number of linear matrix inequalities. / Azuma, Takehito; Ikeda, Kojiro; Kondo, Taku; Uchida, Kenko.

    In: Computers and Electrical Engineering, Vol. 28, No. 3, 04.2002, p. 217-228.

    Research output: Contribution to journalArticle

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