New bounded real lemma for discrete-time singular systems

Gaomin Zhang; Yuanqing Xia; Peng Shi

doi:10.1016/j.automatica.2007.07.017

New bounded real lemma for discrete-time singular systems

Gaomin Zhang
, Yuanqing Xia^*
, Peng Shi

^*Corresponding author for this work

School of Automation

China University of Petroleum (East China)
University of South Wales

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

142 Citations (Scopus)

Abstract

In this paper, the problem of bounded real lemma for discrete-time singular system with strict matrix inequalities is investigated. It is proved that the bounded real lemma for discrete singular system 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)	886-890
Number of pages	5
Journal	Automatica
Volume	44
Issue number	3
DOIs	https://doi.org/10.1016/j.automatica.2007.07.017
Publication status	Published - Mar 2008

Keywords

Discrete-time singular systems
H control
Matrix inequalities

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10.1016/j.automatica.2007.07.017

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title = "New bounded real lemma for discrete-time singular systems",

abstract = "In this paper, the problem of bounded real lemma for discrete-time singular system with strict matrix inequalities is investigated. It is proved that the bounded real lemma for discrete singular system can be described by a strict matrix inequality. The results lead to more tractable and reliable computation when applying them to design control systems.",

keywords = "Discrete-time singular systems, H control, Matrix inequalities",

author = "Gaomin Zhang and Yuanqing Xia and Peng Shi",

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T1 - New bounded real lemma for discrete-time singular systems

AU - Zhang, Gaomin

AU - Xia, Yuanqing

AU - Shi, Peng

PY - 2008/3

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N2 - In this paper, the problem of bounded real lemma for discrete-time singular system with strict matrix inequalities is investigated. It is proved that the bounded real lemma for discrete singular system can be described by a strict matrix inequality. The results lead to more tractable and reliable computation when applying them to design control systems.

AB - In this paper, the problem of bounded real lemma for discrete-time singular system with strict matrix inequalities is investigated. It is proved that the bounded real lemma for discrete singular system 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/39549108678

U2 - 10.1016/j.automatica.2007.07.017

DO - 10.1016/j.automatica.2007.07.017

M3 - Article

AN - SCOPUS:39549108678

SN - 0005-1098

VL - 44

SP - 886

EP - 890

JO - Automatica

JF - Automatica

IS - 3

ER -

New bounded real lemma for discrete-time singular systems

Abstract

Keywords

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