基于维纳过程的随机时滞系统滤波器的H∞稳定性分析

H∞Stability Analysis of Random Delay System Filter Based on Wiener Process

本文构造了一个随机滤波系统。此滤波系统针对的是一类具有维纳随机过程特性的的随机时变时滞系统。然后给出了该滤波系统稳定且具备一定的H无穷性能的充分条件,并利用自由权矩阵方法和线性矩阵不等式(LMI)进行求解。求解出一组时滞相关的矩阵不等式,此不等式充分表达了该系统稳定的充分条件。

A random filtering system is constructed in this paper.This filter system is aimed at a class of stochastic time-varying delay systems with wiener stochastic process characteristics.Then the sufficient conditions are given for the stability and H infinite performance of this filter system,and the free weight matrix method and linear matrix inequality(LMI)are used to solve the problem.A set of delay-dependent matrix inequalities is obtained,which fully express the sufficient condition for the stability of the system.