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

Sato Yoko, Watanabe Ryo, Uchida Kenko

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 1998 American Control Conference, ACC 1998
Pages1886-1888
Number of pages3
DOIs
Publication statusPublished - 1998 Dec 1
Event1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States
Duration: 1998 Jun 241998 Jun 26

Publication series

NameProceedings of the American Control Conference
Volume3
ISSN (Print)0743-1619

Conference

Conference1998 American Control Conference, ACC 1998
CountryUnited States
CityPhiladelphia, PA
Period98/6/2498/6/26

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ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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