Infinite-dimensional LMI approach to analysis and synthesis for linear time-delay systems

Kojiro Ikeda*, Takehito Azuma, Kenko Uchida

*この研究の対応する著者

    研究成果: Article査読

    17 被引用数 (Scopus)

    抄録

    This paper considers an analysis and synthesis problem of controllers for linear time-delay systems in the form of delay-dependent memory state feedback, and develops an Linear Matrix Inequality (LMI) approach. First, we present an existence condition and an explicit formula of controllers, which guarantee a prescribed level of L2 gain of closed loop systems, in terms of infinite-dimensional LMIs. This result is rather general in the sense that it covers, as special cases, some known results for the cases of delay-independent/dependent and memoryless/memory controllers, while the infinity dimensionality of the LMIs makes the result difficult to apply. Second, we introduce a technique to reduce the infinite-dimensional LMIs to a finite number of LMIs, and present a feasible algorithm for synthesis of controllers based on the finite-dimensional LMIs.

    本文言語English
    ページ(範囲)505-520
    ページ数16
    ジャーナルKybernetika
    37
    4
    出版ステータスPublished - 2001

    ASJC Scopus subject areas

    • 人間とコンピュータの相互作用
    • 制御およびシステム工学

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