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中文摘要：
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.
英文摘要：
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.
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