Delay-dependent H2 control for discrete time-delay systems with D-stability constraints

Man Sun; Yingmin Jia; Junping Du; Shiying Yuan

doi:10.1016/j.pnsc.2007.10.005

Delay-dependent H₂ control for discrete time-delay systems with D-stability constraints

Man Sun^*
, Yingmin Jia
, Junping Du
, Shiying Yuan

^*此作品的通讯作者

自动化科学与电气工程学院

Beihang University
Beijing University of Posts and Telecommunications
Henan Polytechnic University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

This paper studies the problem of H₂ control for a class of discrete time-delay systems with D-stability constraints. The corresponding sufficient conditions are given in terms of linear matrix inequalities. In particular, the conditions are delay-dependent, and so they are less conservative. The obtained controller can provide an upper bound for the H₂ cost function. A numerical example is given to illustrate the proposed method.

源语言	英语
页（从-至）	297-302
页数	6
期刊	Progress in Natural Science: Materials International
卷	18
期	3
DOI	https://doi.org/10.1016/j.pnsc.2007.10.005
出版状态	已出版 - 3月 2008

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10.1016/j.pnsc.2007.10.005

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引用此

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title = "Delay-dependent H2 control for discrete time-delay systems with D-stability constraints",

abstract = "This paper studies the problem of H2 control for a class of discrete time-delay systems with D-stability constraints. The corresponding sufficient conditions are given in terms of linear matrix inequalities. In particular, the conditions are delay-dependent, and so they are less conservative. The obtained controller can provide an upper bound for the H2 cost function. A numerical example is given to illustrate the proposed method.",

keywords = "D-stability, Discrete systems, H control, Linear matrix inequality, Time-delay",

author = "Man Sun and Yingmin Jia and Junping Du and Shiying Yuan",

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AU - Sun, Man

AU - Jia, Yingmin

AU - Du, Junping

AU - Yuan, Shiying

PY - 2008/3

Y1 - 2008/3

N2 - This paper studies the problem of H2 control for a class of discrete time-delay systems with D-stability constraints. The corresponding sufficient conditions are given in terms of linear matrix inequalities. In particular, the conditions are delay-dependent, and so they are less conservative. The obtained controller can provide an upper bound for the H2 cost function. A numerical example is given to illustrate the proposed method.

AB - This paper studies the problem of H2 control for a class of discrete time-delay systems with D-stability constraints. The corresponding sufficient conditions are given in terms of linear matrix inequalities. In particular, the conditions are delay-dependent, and so they are less conservative. The obtained controller can provide an upper bound for the H2 cost function. A numerical example is given to illustrate the proposed method.

KW - D-stability

KW - Discrete systems

KW - H control

KW - Linear matrix inequality

KW - Time-delay

UR - https://www.scopus.com/pages/publications/41349093193

U2 - 10.1016/j.pnsc.2007.10.005

DO - 10.1016/j.pnsc.2007.10.005

M3 - 文章

AN - SCOPUS:41349093193

SN - 1002-0071

VL - 18

SP - 297

EP - 302

JO - Progress in Natural Science: Materials International

JF - Progress in Natural Science: Materials International

IS - 3

ER -

Delay-dependent H2 control for discrete time-delay systems with D-stability constraints

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Delay-dependent H₂ control for discrete time-delay systems with D-stability constraints