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

科研成果: 期刊稿件 › 文章 › 同行评审

21 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	634-638
页数	5
期刊	Proceedings of the American Control Conference
卷	1
DOI	https://doi.org/10.1109/ACC.2002.1024881
出版状态	已出版 - 2002
已对外发布	是

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10.1109/ACC.2002.1024881

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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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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

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

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