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测量数据丢失的随机不确定离散系统的鲁棒h2状态-控制理论与应用
25 3 Vol. 25 No. 3
2008 6 Control Theory Applications Jun. 2008
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Robust H-two state estimation for stochastic uncertain discrete-time
system with missing measurements
WANG Wu, YANG Fu-wen, ZHAN Yao-qing
(College of Electrical Engineering and Automation, Fuzhou University, Fuzhou Fujian 350108, China)
Abstract: In the packet-based transmission of data over a network with limited bandwidth or temporary sensor failure,
measurement data may be missing. The H-two filtering problem for an uncertain discrete-time system with missing mea-
surement data is considered. The uncertain parameters in the system matrices are assumed to belong to a given convex
bounded polyhedral domain. The occurrence of missing measurement data is random and is assumed to be a Bernoulli
distributed sequence with known probability. Sufficient conditions are derived in terms of linear matrix inequalities (LMIs)
for the existence of a full-and-reduced-order filter ensuring a prescribed H-two performance for all admissible uncertainties
and the possible data missing. Numerical example is provided to demonstrate the feasibility of the proposed method.
Key words: missing data; robust H-two filtering; polyhedral uncertainty; LMI
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