Robust H 2 control for uncertain sampled-data systems

Weinan Xie; Guangcheng Ma; Qinghua Li; Changhong Wang

Robust H ₂ control for uncertain sampled-data systems

Weinan Xie^*
, Guangcheng Ma
, Qinghua Li
, Changhong Wang

^*Corresponding author for this work

School of Astronautics

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

1 Scopus citations

Abstract

A new approach is proposed for robust H ₂ problem of uncertain sampled-data systems. Through introducing a free variable, a new Lyapunov asymptotical stability criterion with less conservativeness is established. Based on this criterion, some sufficient conditions on two classes of robust H ₂ problems for uncertain sampled-data control systems are presented through a set of coupled linear matrix inequalities. Finally, the less conservatism and potential of the developed results are illustrated via a numerical example.

Original language	English
Pages (from-to)	172-177
Number of pages	6
Journal	Journal of Systems Engineering and Electronics
Volume	20
Issue number	1
State	Published - Feb 2009

Keywords

H performance
LMI optimization
Sampled-data systems
Uncertain systems

Cite this

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title = "Robust H 2 control for uncertain sampled-data systems",

abstract = "A new approach is proposed for robust H 2 problem of uncertain sampled-data systems. Through introducing a free variable, a new Lyapunov asymptotical stability criterion with less conservativeness is established. Based on this criterion, some sufficient conditions on two classes of robust H 2 problems for uncertain sampled-data control systems are presented through a set of coupled linear matrix inequalities. Finally, the less conservatism and potential of the developed results are illustrated via a numerical example.",

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author = "Weinan Xie and Guangcheng Ma and Qinghua Li and Changhong Wang",

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AU - Xie, Weinan

AU - Ma, Guangcheng

AU - Li, Qinghua

AU - Wang, Changhong

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N2 - A new approach is proposed for robust H 2 problem of uncertain sampled-data systems. Through introducing a free variable, a new Lyapunov asymptotical stability criterion with less conservativeness is established. Based on this criterion, some sufficient conditions on two classes of robust H 2 problems for uncertain sampled-data control systems are presented through a set of coupled linear matrix inequalities. Finally, the less conservatism and potential of the developed results are illustrated via a numerical example.

AB - A new approach is proposed for robust H 2 problem of uncertain sampled-data systems. Through introducing a free variable, a new Lyapunov asymptotical stability criterion with less conservativeness is established. Based on this criterion, some sufficient conditions on two classes of robust H 2 problems for uncertain sampled-data control systems are presented through a set of coupled linear matrix inequalities. Finally, the less conservatism and potential of the developed results are illustrated via a numerical example.

KW - H performance

KW - LMI optimization

KW - Sampled-data systems

KW - Uncertain systems

UR - https://www.scopus.com/pages/publications/77957583009

M3 - 文章

AN - SCOPUS:77957583009

SN - 1671-1793

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EP - 177

JO - Journal of Systems Engineering and Electronics

JF - Journal of Systems Engineering and Electronics

IS - 1

ER -

Robust H ₂ control for uncertain sampled-data systems

Abstract

Keywords

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