关联时滞系统的分散H_∞滤波  

Decentralized H_∞ Filtering for Interconnected Time-Delay Systems

作　　者：肖小石[1] 毛志忠[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2011年第10期1374-1377,共4页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(61074074)

摘　　要：考虑一类关联时滞系统,以子系统的输出作为滤波器的输入,分别为每个子系统设计了一个线性滤波器.基于Lyapunov泛函方法,首先得到了滤波器存在的时滞无关的充分条件.为便于滤波器的设计,通过解耦算法将原充分条件转化为一个易于求解的线性矩阵不等式(LMI).进一步,为使滤波器具有良好的H∞性能,将滤波器的设计问题转化为具有LMI约束的凸优化求解问题.数值实例表明了所提滤波器设计方案的可行性.For a class of interconnected time-delay systems,a linear filter was designed for each subsystem by using the output of the subsystem as the input of the designed filter.Based on Lyapunov-Krasovskii functional method,a delay-independent sufficient condition of the existence of the linear filter was obtained.For the convenience of the filter design,a decoupling algorithm was applied to transform the obtained sufficient condition into a linear matrix inequality（LMI） which can be easily solved.Furthermore,the filter design problem was changed to a convex optimization solving problem constrained by LMI to achieve good H∞ performances.A numerical example demonstrates the feasibility of the proposed filter design method.

关 键 词：时滞 大系统 H∞滤波 时滞无关 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]