一类网络控制系统的非脆弱耗散滤波器设计

摘要

This paper focuses on the problem for a class of networked control system with filtering gain uncertainties, sensor-to-filter stochastic packet dropouts and time delays are considered simultaneously,an approach is presented to design the non-fragile dissipative filter with additive gain uncertainties for the estimation task,where the filter parameters are allowed to have norm-bounded uncertainty.By using Lyapunov stability theory and linear matrix inequality methods, a sufficient condition for the existence of the dissipative filter is derived.The problem of non-fragile dissipative filter is turned into the solution of linear matrix inequalities in terms of filtering parameter uncertainties,and then the non-fragile filtering parameters are obtained by solving the LMI.Finally,a numerical simulation is exploited to demonstrate the effec-tiveness of the proposed design method.%针对网络化控制系统的滤波器参数存在摄动的问题,考虑到传感器-滤波器存在随机时延和丢包,设计对系统待估信号进行估计的加性非脆弱耗散滤波器,其中滤波器参数具有范数有界不确定性.首先使用Lyapunov稳定性理论和线性矩阵不等式分析方法,推导出耗散滤波器存在的充分条件,在此基础上考虑到滤波器参数不确定性,从而将非脆弱耗散滤波问题转化为求解线性矩阵不等式的问题,然后通过求解线性矩阵不等式得到非脆弱耗散滤波器的参数表达式,最后数值仿真验证了设计方法的有效性.