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

Seigo Sasaki, Kenko Uchida

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    9 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Title of host publicationProceedings of the American Control Conference
    PublisherIEEE
    Pages411-415
    Number of pages5
    Volume1
    Publication statusPublished - 1997
    EventProceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA
    Duration: 1997 Jun 41997 Jun 6

    Other

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

    Fingerprint

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

    ASJC Scopus subject areas

    • Control and Systems Engineering

    Cite this

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

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

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