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

Seigo Sasaki, Kenko Uchida

    研究成果: Conference contribution

    9 引用 (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.

    元の言語English
    ホスト出版物のタイトルProceedings of the American Control Conference
    出版者IEEE
    ページ411-415
    ページ数5
    1
    出版物ステータス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)
    Albuquerque, NM, USA
    期間97/6/497/6/6

    Fingerprint

    Lyapunov functions
    Nonlinear systems
    Polynomials
    Linear matrix inequalities
    State feedback
    Feedback control

    ASJC Scopus subject areas

    • Control and Systems Engineering

    これを引用

    Sasaki, S., & Uchida, K. (1997). Convex characterization of analysis and synthesis for nonlinear systems via extended quadratic Lyapunov function. : Proceedings of the American Control Conference (巻 1, pp. 411-415). IEEE.

    Convex characterization of analysis and synthesis for nonlinear systems via extended quadratic Lyapunov function. / Sasaki, Seigo; Uchida, Kenko.

    Proceedings of the American Control Conference. 巻 1 IEEE, 1997. p. 411-415.

    研究成果: Conference contribution

    Sasaki, S & Uchida, K 1997, Convex characterization of analysis and synthesis for nonlinear systems via extended quadratic Lyapunov function. : Proceedings of the American Control Conference. 巻. 1, IEEE, pp. 411-415, Proceedings of the 1997 American Control Conference. Part 3 (of 6), Albuquerque, NM, USA, 97/6/4.
    Sasaki S, Uchida K. Convex characterization of analysis and synthesis for nonlinear systems via extended quadratic Lyapunov function. : Proceedings of the American Control Conference. 巻 1. IEEE. 1997. p. 411-415
    Sasaki, Seigo ; Uchida, Kenko. / Convex characterization of analysis and synthesis for nonlinear systems via extended quadratic Lyapunov function. Proceedings of the American Control Conference. 巻 1 IEEE, 1997. pp. 411-415
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