New results on discrete-time bounded real lemma for singular systems: Strict matrix inequality conditions

Gaomin Zhang; Yingmin Jia

doi:10.1109/ACC.2002.1024881

New results on discrete-time bounded real lemma for singular systems: Strict matrix inequality conditions

Gaomin Zhang
, Yingmin Jia

Peking University

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

Some existing bounded real conditions for discrete-time singular systems usually include a semi-definite matrix inequality which can not be solved by standard LMI solvers. In this paper we prove that the semi-definiteness constrain may be removed and the corresponding bounded real lemma can be described by a strict matrix inequality. The results lead to more tractable and reliable computation when applying them to design control systems.

Original language	English
Pages (from-to)	634-638
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	1
DOIs	https://doi.org/10.1109/ACC.2002.1024881
State	Published - 2002
Externally published	Yes

Keywords

Discrete-time singular systems
H control
Matrix inequalities

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10.1109/ACC.2002.1024881

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title = "New results on discrete-time bounded real lemma for singular systems: Strict matrix inequality conditions",

abstract = "Some existing bounded real conditions for discrete-time singular systems usually include a semi-definite matrix inequality which can not be solved by standard LMI solvers. In this paper we prove that the semi-definiteness constrain may be removed and the corresponding bounded real lemma can be described by a strict matrix inequality. The results lead to more tractable and reliable computation when applying them to design control systems.",

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year = "2002",

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AU - Zhang, Gaomin

AU - Jia, Yingmin

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AB - Some existing bounded real conditions for discrete-time singular systems usually include a semi-definite matrix inequality which can not be solved by standard LMI solvers. In this paper we prove that the semi-definiteness constrain may be removed and the corresponding bounded real lemma can be described by a strict matrix inequality. The results lead to more tractable and reliable computation when applying them to design control systems.

KW - Discrete-time singular systems

KW - H control

KW - Matrix inequalities

UR - https://www.scopus.com/pages/publications/0036057710

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DO - 10.1109/ACC.2002.1024881

M3 - 文章

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SN - 0743-1619

VL - 1

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EP - 638

JO - Proceedings of the American Control Conference

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ER -

New results on discrete-time bounded real lemma for singular systems: Strict matrix inequality conditions

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Keywords

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