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

作　　者：刘涛 LIU Tao(School of Electrical Engineering and Automation,Qilu University of Technology(Shandong Academy of Sciences),Jinan 250353,China)

机构地区：[1]齐鲁工业大学(山东省科学院)电气工程与自动化学院,济南250353

出　　处：《齐鲁工业大学学报》2020年第3期42-46,共5页Journal of Qilu University of Technology

基　　金：国家自然科学基金(61573095)。

摘　　要：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.

关 键 词：H∞分析 鲁棒随机稳定 线性矩阵不等式(LMI) 

分 类 号：TP315[自动化与计算机技术—计算机软件与理论]