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

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Beihang University
Beijing University of Posts and Telecommunications
Henan Polytechnic University

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

4 Scopus citations

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.

Original language	English
Pages (from-to)	297-302
Number of pages	6
Journal	Progress in Natural Science: Materials International
Volume	18
Issue number	3
DOIs	https://doi.org/10.1016/j.pnsc.2007.10.005
State	Published - Mar 2008

Keywords

D-stability
Discrete systems
H control
Linear matrix inequality
Time-delay

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10.1016/j.pnsc.2007.10.005

Cite this

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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.",

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AU - Du, Junping

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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

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M3 - 文章

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SN - 1002-0071

VL - 18

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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

Abstract

Keywords

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