基于凸多面体不确定网络化系统的鲁棒无源滤波

研究一类同时具有时变时延和测量数据丢失的不确定网络化系统的鲁棒无源滤波器设计问题。时变时延假设在一个已知的界内随机变化。测量数据的丢失是随机发生的,假设满足Bernoulli分布随机序列。采用线性矩阵不等式方法,给出了全阶和降阶的鲁棒无源滤波器存在的充分条件。所设计的滤波器使得滤波误差系统是均方指数稳定并满足给定的无源指标。最后数值仿真表明所提方法的有效性。

Robust passive filtering for a polytopic uncertain networked system

The problem of robust passive filtering for a class of uncertain networked system with time varying delays and missing measurements is studied.The random delays in the system are assumed to be bounded but unknown.The missing measurements are stochastic and described by a binary switching sequence satisfying Bernoulli distribution.A sufficient condition for existence of a full-and reduced-order filter,such that the filter error system is exponentially mean-square stable and a prescribed passive performance is guaranteed,is presented via linear matrix inequalities(LMIs).Finally the effectiveness of the proposed approach is illustrated by a numeric example.