不确定离散系统的鲁棒H∞网络滤波器设计与仿真

摘要

研究了一类不确定离散系统的鲁棒H∞滤波问题,其中不确定性存在于系统的状态矩阵和输出矩阵当中,且满足范数有界条件.对于所有容许的参数不确定性,构造一个带时延的网络滤波器,使得滤波误差系统渐近稳定且满足一定的H∞性能指标.给出了滤波器存在的充分条件,并通过矩阵变量替换得到了设计滤波器的LMI 方法.最后,仿真结果很好地说明了本文方法的有效性.%Deals with the problem of robust H∞ filtering for a class of uncertain discrete systems, the uncertainties are satisfied the so-called norm-bounded conditions exist in state matrices and output matrices, The aim is to design a linear time-delay filter which can guarantee a prescribed H∞ performance level for the filtering error system and all admissible uncertainties.The sufficient conditions for existing filter are derived.A LMI method for designing filters is given by matrix transformations.Finally, the simulation result shows that the method is very effective.