具有随机协议网络化系统的H_∞滤波  

H-infinity filtering for network-based systems with stochastic protocols

作　　者：周佩冬[1] 俞立[1] 宋洪波[1] 欧林林[1] 

机构地区：[1]浙江工业大学信息工程学院,浙江省嵌入式系统联合重点实验室,浙江杭州310023

出　　处：《控制理论与应用》2010年第12期1711-1716,共6页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60834003,60974017,60704021)

摘　　要：本文研究了一类具有随机介质访问协议网络化系统的H∞滤波问题.将传感器和滤波器的通信过程描述为一个马尔可夫链,进而将滤波误差系统建模成一个马尔可夫跳变系统.然后,运用李雅普诺夫方法和线性矩阵不等式技术,给出了滤波误差系统随机稳定且具有给定H∞性能的一个充分条件,并基于该条件给出了H∞滤波器的设计方法.最后的数值算例验证了本文方法的有效性.The H-infinity filtering is studied for network-based systems with stochastic protocols.The communication process between the sensors and the filter is described as a Markov chain;thus the resulting filtering error system is a Markovian jump system.By using the Lyapunov method and the linear matrix inequality technique,we develop the sufficient conditions for the filtering error system to be stochastically stable and with a prescribed H-infinity performance.An H-infinity filter design procedure is also presented based on the developed conditions.A numerical example is given to show the effectiveness of the proposed method.

关 键 词：网络化系统 随机协议 H∞滤波 马尔可夫跳变系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]