Convex characterization of analysis and synthesis for nonlinear systems via extended quadratic Lyapunov function

Seigo Sasaki*, Kenko Uchida

*この研究の対応する著者

    研究成果: Conference contribution

    10 被引用数 (Scopus)

    抄録

    Using an extended quadratic Lyapunov function of the form V(x) = x TP(x)x, we consider L 2-gain analysis and state feedback control synthesis for input-affine polynomial type nonlinear systems, and derive Riccati type matrix inequality conditions that depend on x. We show that the solution P(x) can be given by solving linear matrix inequalities as a polynomial type matrix. We also determine the domain of internal stability. We finally show that the proposed method is effective through a numerical example of bilinear systems.

    本文言語English
    ホスト出版物のタイトルProceedings of the American Control Conference
    出版社IEEE
    ページ411-415
    ページ数5
    1
    出版ステータスPublished - 1997
    イベントProceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA
    継続期間: 1997 6 41997 6 6

    Other

    OtherProceedings of the 1997 American Control Conference. Part 3 (of 6)
    CityAlbuquerque, NM, USA
    Period97/6/497/6/6

    ASJC Scopus subject areas

    • 制御およびシステム工学

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