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中文摘要：
由于频宽有限，或者传感器临时损坏，测量数据在网络中传输时可能会丢失．本文对一类测量数据丢失的不确定离散系统，研究了鲁棒H2状态估计问题．所有的系统矩阵的参数都属于给定的凸多面体区域．测量数据的丢失是随机发生的，认为它是已知概率的Bernoulli随机序列．对于所有容许的不确定和可能的数据丢失，采用线性矩阵不等式方法，给出了全阶和降阶的H2滤波器存在的充分条件．数值仿真表明本文所提方法的有效性．
英文摘要：
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 measurement 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.
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