基于时滞的H_∞滤波器设计及其在网络中的应用

H-infinity filter design based on time-delay and its application to network

本文讨论了基于时滞的不确定线性系统的H∞滤波器设计及其在网络中的应用问题.首先考虑时滞的上下界,并在不忽略Lyapunov泛函导数中的任何一项的前提下,利用自由权矩阵方法,提出了一种新的滤波误差系统的H∞性能分析和滤波器设计方法.而且,滤波器的系数矩阵可以通过解一组线性矩阵不等式(LMIs)得到.然后,将该方法应用于考虑网络影响的具有参数不确定性的线性系统的滤波问题.与已有文献的方法相比,结果的保守性大大降低.最后给出的数值实例说明了本文所给方法的有效性和优越性.

This paper is concerned with the problem of robust H-infinity filtering for uncertain linear systems with time-delay.By considering the lower and upper bounds of the time-delay,we propose a H-infinity filter design method,and employ the free-weighting-matrix method to analyze the H-infinity filter performance without ignoring any term in the derivative of the Lyapunov functional.Furthermore,the coefficient matrices of the filter are determined by solving a set of linear matrix inequalities.The obtained results are extended to the filter problem of uncertain linear systems affected by the network.It can be seen that the derived results are less conservative than the existing ones.A numerical example is given to demonstrate the effectiveness and advantage of the design method.