Improved LMI representation for bounded real criterion of systems with polytope-type uncertainty

Tong Li; Ying Min Jia

Improved LMI representation for bounded real criterion of systems with polytope-type uncertainty

Tong Li^*
, Ying Min Jia

^*此作品的通讯作者

自动化科学与电气工程学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

An improved LMI representation for bounded real criterion is derived by employing a descriptor system approach. Due to its decoupling property between system matrices and Lyapunov matrices, the new criterion can reduce conservatism inherent in robust performance analysis of systems with convex polytope-type uncertainty. The results exhibit some favorable features in computation through two numerical examples.

源语言	英语
页（从-至）	523-529
页数	7
期刊	Zidonghua Xuebao/Acta Automatica Sinica
卷	30
期	4
出版状态	已出版 - 7月 2004

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title = "Improved LMI representation for bounded real criterion of systems with polytope-type uncertainty",

abstract = "An improved LMI representation for bounded real criterion is derived by employing a descriptor system approach. Due to its decoupling property between system matrices and Lyapunov matrices, the new criterion can reduce conservatism inherent in robust performance analysis of systems with convex polytope-type uncertainty. The results exhibit some favorable features in computation through two numerical examples.",

keywords = "Bounded real criterion, Descriptor system approach, LMI, Parameter-dependent Lyapunov matrix, Polytope-type uncertainty",

author = "Tong Li and Jia, \{Ying Min\}",

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T1 - Improved LMI representation for bounded real criterion of systems with polytope-type uncertainty

AU - Li, Tong

AU - Jia, Ying Min

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N2 - An improved LMI representation for bounded real criterion is derived by employing a descriptor system approach. Due to its decoupling property between system matrices and Lyapunov matrices, the new criterion can reduce conservatism inherent in robust performance analysis of systems with convex polytope-type uncertainty. The results exhibit some favorable features in computation through two numerical examples.

AB - An improved LMI representation for bounded real criterion is derived by employing a descriptor system approach. Due to its decoupling property between system matrices and Lyapunov matrices, the new criterion can reduce conservatism inherent in robust performance analysis of systems with convex polytope-type uncertainty. The results exhibit some favorable features in computation through two numerical examples.

KW - Bounded real criterion

KW - Descriptor system approach

KW - LMI

KW - Parameter-dependent Lyapunov matrix

KW - Polytope-type uncertainty

UR - https://www.scopus.com/pages/publications/4644354045

M3 - 文章

AN - SCOPUS:4644354045

SN - 0254-4156

VL - 30

SP - 523

EP - 529

JO - Zidonghua Xuebao/Acta Automatica Sinica

JF - Zidonghua Xuebao/Acta Automatica Sinica

IS - 4

ER -

Improved LMI representation for bounded real criterion of systems with polytope-type uncertainty

摘要

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