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

Sato Yoko; Watanabe Ryo; Uchida Kenko

doi:10.1109/ACC.1998.707349

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 proceeding › Conference 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 language	English
Title of host publication	Proceedings of the 1998 American Control Conference, ACC 1998
Pages	1886-1888
Number of pages	3
DOIs	https://doi.org/10.1109/ACC.1998.707349
Publication status	Published - 1998
Externally published	Yes
Event	1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States Duration: 1998 Jun 24 → 1998 Jun 26

Publication series

Name	Proceedings of the American Control Conference
Volume	3
ISSN (Print)	0743-1619

Conference

Conference	1998 American Control Conference, ACC 1998
Country/Territory	United States
City	Philadelphia, PA
Period	98/6/24 → 98/6/26

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/ACC.1998.707349

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., 707349, Proceedings of the American Control Conference, vol. 3, pp. 1886-1888, 1998 American Control Conference, ACC 1998, Philadelphia, PA, United States, 98/6/24. https://doi.org/10.1109/ACC.1998.707349

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N2 - 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.

AB - 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.

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