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带宽受限网络化系统的广义H2滤波
引用本文:张丹,俞立,张文安.带宽受限网络化系统的广义H2滤波[J].控制理论与应用,2010,27(3):377-381.
作者姓名:张丹  俞立  张文安
作者单位:浙江工业大学信息工程学院,浙江省嵌入式系统重点实验室,浙江杭州,310032
基金项目:国家自然科学基金资助项目(60834003, 60525304).
摘    要:研究了一类带宽受限网络化系统的广义H2滤波问题. 滤波器采用量化后的测量信号作为其输入信号, 采用对数量化器, 将滤波误差系统建模成范数有界不确定时滞系统. 利用Lyapunov 稳定性理论和线性矩阵不等式(LMI)技术, 得到了滤波误差系统渐近稳定的充分条件以及滤波器的设计方法. 数值示例验证了所给算法的可行性.

关 键 词:广义H2  滤波    对数量化器    线性矩阵不等式    最大允许时延上界
收稿时间:2008/10/25 0:00:00
修稿时间:6/5/2009 12:00:00 AM

Generalized H-two filtering for networked systems with bandwidth constraints
ZHANG Dan,YU Li and ZHANG Wen-an.Generalized H-two filtering for networked systems with bandwidth constraints[J].Control Theory & Applications,2010,27(3):377-381.
Authors:ZHANG Dan  YU Li and ZHANG Wen-an
Affiliation:College of Information Engineering, Zhejiang University of Technology, Zhejiang Provincial United Key Laboratory of Embedded Systems,College of Information Engineering, Zhejiang University of Technology, Zhejiang Provincial United Key Laboratory of Embedded Systems,College of Information Engineering, Zhejiang University of Technology, Zhejiang Provincial United Key Laboratory of Embedded Systems
Abstract:The generalized H-two filtering problem is studied for a class of networked systems with bandwidth constraints. The quantized measurement signal is used as the input of the filter. Then, by using the logarithm quantizer, we model the filter-error system as a time-delay system with norm-bounded uncertainty. Sufficient conditions are derived for the asymptotic stability of the filter-error system by the Lyapunov stability theory and the linear matrix inequality (LMI) technique; and the design procedures for the filter are also provided. A numerical example is provided to illustrate the feasibility of the proposed method.
Keywords:generalized H-two filtering  logarithm quantizer  linear matrix inequality  maximum allowable delay bound
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