Optimal H2 filtering in networked control systems with multiple packet dropout
Optimal H2 filtering in networked control systems with multiple packet dropout
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DOI：
10.1109/tac.2007.902766
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发表时间：
2007-08-01
影响因子：
6.8
通讯作者：
Shah, Sirish L.
中科院分区：
文献类型：
--
作者：
Sahebsara, Mehrdad;Chen, Tongwen;Shah, Sirish L.
研究了网络控制系统中多数据包丢失的最优H-2滤波问题。采用一种新的配方来模拟多个数据包丢失的情况下，其中的随机丢失率被转换成一个随机参数的系统的表示。通过推广H-2-范数的定义，导出了线性离散随机参数系统的状态空间形式的随机H-2-范数的新关系。估计误差的随机H-2范数被用作NCS框架中滤波器设计的准则。给出了一组线性矩阵不等式（LMI）来解决相应的滤波器设计问题。一个仿真例子支持了这一理论。
This note studies the problem of optimal H-2 filtering in networked control systems (NCSs) with multiple packet dropout. A new formulation is employed to model the multiple packet dropout case, where the random dropout rate is transformed into a stochastic parameter in the system's representation. By generalization of the H-2-norm definition, new relations for the stochastic H-2-norm of a linear discrete-time stochastic parameter system represented in the state-space form are derived. The stochastic H-2-norm of the estimation error is used as a criterion for filter design in the NCS framework. A set of linear matrix inequalities (LMIs) is given to solve the corresponding filter design problem. A simulation example supports the theory.