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Optimal full-order filtering for discrete-time systems with random measurement delays and multiple packet dropouts

查看全文 作  者:Shuli [1]SUN;Lihua [2]XIE;Wendong [3]XIAO 高影响力作者 机构地区:[1]School of Electronic Engineering, Heilongjiang University, Harbin Heilongjiang 150080, China;[2]School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798;[3]Institute for Infocomm Research, Singapore 138632高影响力机构 出  处:《控制理论与应用(英文版)》索引2010年第8卷第1期,共6页高影响力期刊 基  金:supported by Agency for Science,Technology and Research Grant(SERC)(No.0521010037);Natural Science Foundation of China(No.60874062,60828006);NSFC-Guangdong Joint Foundation(No.U0735003) 摘  要:This paper is concerned with the estimation problem for discrete-time stochastic linear systems with possible single unit delay and multiple packet dropouts.Based on a proposed uncertain model in data transmission,an optimal full-order filter for the state of the system is presented,which is shown to be of the form of employing the received outputs at the current and last time instants.The solution to the optimal filter is given in terms of a Riccati difference equation governed by two binary random variables.The optimal filter is reduced to the standard Kalman filter when there are no random delays and packet dropouts.The steady-state filter is also investigated.A sufficient condition for the existence of the steady-state filter is given.The asymptotic stability of the optimal filter is analyzed. 关 键 词:时间系统 随机测量 离散时间 包延迟 滤波器 个数 优化 不确定模型
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