Approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions

Takehito Azuma; Ryo Watanabe; Kenko Uchida

doi:10.1109/acc.1997.611851

Approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions

Takehito Azuma^*, Ryo Watanabe, Kenko Uchida

^*この研究の対応する著者

先進理工学部

研究成果: Conference article › 査読

26 被引用数 (Scopus)

抄録

Recently many researches for Linear Parameter Varying Systems focus on the approach using a parameter-dependent Lyapunov function. Analysis and controller design for Linear Parameter Varying Systems are characterized by parameter-dependent Linear Matrix Inequalities (LMIs). In this paper, we propose an approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions. The proposed method does not require any particular assumptions on the parameter dependence except continuity. We consider a class of Linear Parameter Varying Systems and apply the proposed technique on analysis of their L²gain. Finally we demonstrate its efficacy by numerical case study.

本文言語	English
ページ（範囲）	510-514
ページ数	5
ジャーナル	Proceedings of the American Control Conference
巻	1
DOI	https://doi.org/10.1109/acc.1997.611851
出版ステータス	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月 4 → 1997 6月 6

ASJC Scopus subject areas

電子工学および電気工学

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10.1109/acc.1997.611851

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abstract = "Recently many researches for Linear Parameter Varying Systems focus on the approach using a parameter-dependent Lyapunov function. Analysis and controller design for Linear Parameter Varying Systems are characterized by parameter-dependent Linear Matrix Inequalities (LMIs). In this paper, we propose an approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions. The proposed method does not require any particular assumptions on the parameter dependence except continuity. We consider a class of Linear Parameter Varying Systems and apply the proposed technique on analysis of their L2gain. Finally we demonstrate its efficacy by numerical case study.",

author = "Takehito Azuma and Ryo Watanabe and Kenko Uchida",

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journal = "Proceedings of the American Control Conference",

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note = "Proceedings of the 1997 American Control Conference. Part 3 (of 6) ; Conference date: 04-06-1997 Through 06-06-1997",

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AU - Azuma, Takehito

AU - Watanabe, Ryo

AU - Uchida, Kenko

PY - 1997

Y1 - 1997

N2 - Recently many researches for Linear Parameter Varying Systems focus on the approach using a parameter-dependent Lyapunov function. Analysis and controller design for Linear Parameter Varying Systems are characterized by parameter-dependent Linear Matrix Inequalities (LMIs). In this paper, we propose an approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions. The proposed method does not require any particular assumptions on the parameter dependence except continuity. We consider a class of Linear Parameter Varying Systems and apply the proposed technique on analysis of their L2gain. Finally we demonstrate its efficacy by numerical case study.

AB - Recently many researches for Linear Parameter Varying Systems focus on the approach using a parameter-dependent Lyapunov function. Analysis and controller design for Linear Parameter Varying Systems are characterized by parameter-dependent Linear Matrix Inequalities (LMIs). In this paper, we propose an approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions. The proposed method does not require any particular assumptions on the parameter dependence except continuity. We consider a class of Linear Parameter Varying Systems and apply the proposed technique on analysis of their L2gain. Finally we demonstrate its efficacy by numerical case study.

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JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

SN - 0743-1619

T2 - Proceedings of the 1997 American Control Conference. Part 3 (of 6)

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Approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions

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