中国海洋大学学报(自然科学版)2018,Vol.48Issue(4):134-139,152,7.DOI:10.16441/j.cnki.hdxb.20150278
一类随机不确定网络控制系统的H∞滤波器设计
H∞ Filter Design for a Class of Stochastic Networked Control Systems with Uncertainties
摘要
Abstract
In networked control systems,the input and output data is transimtted through communication channels.Data is always contaminated seriously or even lost because of the multiplicative noise,additive noise,dropouts and delays existing in channels.In this paper,an H∞ filter for a class of networked control system (NCS) with the above uncertainties is designed.First,a stochastic system contains multilicative noise,dropouts and random one-step delays in both sensor-to-estimator and controller-to-actutor channels are presented.It is noticed that package is not time-stampled,which means the probability of dropouts and one-step delays are known while the status of a package on a certain instant is unkonwn.Second,the charaters of channels are transformed into stochastic parameters of a new system by dimension expansion,an error system is introduced based on the augmented system.Then a sufficient condition of the H∞ performance of the error system is concluded as a matrix inequality.In order to design a filter with optimal H∞ performance,the matrix inequality is transformed into a linear matrix inequality utilizing congruent transformation,which can be easily solved by existing tools.Thereby,the design of H∞ filter is formulated into a convex programming problem restrited by a set of linear matrix inequality (LMI).Finally,some numerical examples are given to validate the effectiveness of the proposed algorithms,and the advantage of the present filter over some existing literature is proved.关键词
乘性噪声/网络控制系统/线性矩阵不等式/H无穷滤波器Key words
multiplicative noise/networked control systems/linear matrix inequalities/H infinite filter分类
信息技术与安全科学引用本文复制引用
李明扬,张玲,褚东升,于海波..一类随机不确定网络控制系统的H∞滤波器设计[J].中国海洋大学学报(自然科学版),2018,48(4):134-139,152,7.基金项目
海洋公益性科研专项项目(201505002) (201505002)
国家自然科学基金项目(41506114 ()
6160336)资助 Supported by National Narine Technology Program for Public Welfare (201505002) (201505002)
National Natural Science Foundation of China(41506114 ()
6160336) ()