Semi-global L2 gain analysis for kth-degree systems based on reachable set analysis

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

    Abstract

    In this paper, we define the kth-degree system which is regarded as Taylor series up to the kth-degree term for the nonlinear system, and propose an analysis technique of the semi-global L2 gains based on the reachable set analysis for the kth-degree systems with the constraint sets on the disturbances. In this technique, the upper bounds of the semi-global L 2 gains are obtained by solving linear matrix inequalities. We also illustrate the effectiveness of the proposed method with a numerical example.

    Original languageEnglish
    Title of host publicationProceedings of the American Control Conference
    Pages1886-1888
    Number of pages3
    Volume3
    DOIs
    Publication statusPublished - 1998
    Event1998 American Control Conference, ACC 1998 - Philadelphia, PA
    Duration: 1998 Jun 241998 Jun 26

    Other

    Other1998 American Control Conference, ACC 1998
    CityPhiladelphia, PA
    Period98/6/2498/6/26

    Fingerprint

    Taylor series
    Linear matrix inequalities
    Nonlinear systems

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering

    Cite this

    Yoko, S., Watanabe, R., & Uchida, K. (1998). Semi-global L2 gain analysis for kth-degree systems based on reachable set analysis. In Proceedings of the American Control Conference (Vol. 3, pp. 1886-1888). [707349] https://doi.org/10.1109/ACC.1998.707349

    Semi-global L2 gain analysis for kth-degree systems based on reachable set analysis. / Yoko, Sato; Watanabe, Ryo; Uchida, Kenko.

    Proceedings of the American Control Conference. Vol. 3 1998. p. 1886-1888 707349.

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

    Yoko, S, Watanabe, R & Uchida, K 1998, Semi-global L2 gain analysis for kth-degree systems based on reachable set analysis. in Proceedings of the American Control Conference. vol. 3, 707349, pp. 1886-1888, 1998 American Control Conference, ACC 1998, Philadelphia, PA, 98/6/24. https://doi.org/10.1109/ACC.1998.707349
    Yoko S, Watanabe R, Uchida K. Semi-global L2 gain analysis for kth-degree systems based on reachable set analysis. In Proceedings of the American Control Conference. Vol. 3. 1998. p. 1886-1888. 707349 https://doi.org/10.1109/ACC.1998.707349
    Yoko, Sato ; Watanabe, Ryo ; Uchida, Kenko. / Semi-global L2 gain analysis for kth-degree systems based on reachable set analysis. Proceedings of the American Control Conference. Vol. 3 1998. pp. 1886-1888
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