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

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Conference article › peer-review

26 Citations (Scopus)

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.

Original language	English
Pages (from-to)	510-514
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	1
DOIs	https://doi.org/10.1109/acc.1997.611851
Publication status	Published - 1997
Event	Proceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA Duration: 1997 Jun 4 → 1997 Jun 6

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/acc.1997.611851

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title = "Approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions",

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",

year = "1997",

doi = "10.1109/acc.1997.611851",

language = "English",

volume = "1",

pages = "510--514",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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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T1 - Approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions

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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DO - 10.1109/acc.1997.611851

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EP - 514

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

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

Y2 - 4 June 1997 through 6 June 1997

ER -

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

Abstract

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