Non-fragile H∞ Filter Design for Delta Operator Formulated Systems with Circular Region Pole Constraints： an LMI Optimization Approach

he problem of non-fragile H_∞filtering for a class of linear systems described by delta operator with circular region pole constraints is investigated.The purpose of the paper is to design a filter such that the error filtering system not only satisfies the prescribed circular pole constraints or D-...

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Bibliographic Details
Published inZi dong hua xue bao no. 9; pp. 1209 - 1215
Main Author GUO Xiang-Gui YANG Guang-Hong
Format Journal Article
LanguageChinese
Published 2009
Subjects
三角算子系统
乘法增益
滤波器
线性矩阵不等式
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Summary:he problem of non-fragile H_∞filtering for a class of linear systems described by delta operator with circular region pole constraints is investigated.The purpose of the paper is to design a filter such that the error filtering system not only satisfies the prescribed circular pole constraints or D-stability constraint,but also meets the prescribed H_∞,norm constraint on the transfer function from the disturbance input to the estimation error.The filter gain to be designed is assumed to have multiplicative gain variations.A sufficient condition for the existence of such a filter is obtained by using appropriate Lyapunov function and linear matrix inequality（LMI） technique.A numerical example is provided to demonstrate the effectiveness and less conservativeness of the proposed design.
Bibliography:O1
Delta operator systems, non-fragile, H∞ filtering, multiplicative gain variations, linear matrix inequality （LMI）
11-2109/TP
ISSN:0254-4156
1874-1029