一类概率依赖的随机网络系统的随机容错设计  

Random fault-tolerant design for a class of probability-distribution-dependent networked systems

作　　者：周霞[1] 钟守铭[2] 

机构地区：[1]阜阳师范学院数学与计算科学学院,安徽阜阳236037 [2]电子科技大学数学科学学院,成都611731

出　　处：《计算机工程与应用》2014年第9期17-20,共4页Computer Engineering and Applications

基　　金：国家自然科学基金(No.11226140);安徽省教育厅自然科学研究项目(No.KJ2013Z267);阜阳师范学院自然科学基金资助项目(No.2012FSKJ08)

摘　　要：针对网络控制系统的传感器、执行器和网络时延具有随机性这一现象,引入相互独立的Bernoulli随机变量序列作为传感器失效故障、执行器失效故障的开关矩阵,将时延的变化区间任意分成两个小区间,引进Bernoulli随机变量并将其概率分布引入到系统矩阵中,建立随机的网络化控制系统模型,研究了该系统存在传感器失效故障、执行器失效故障及二者同时失效故障情况下的随机容错控制问题。基于Lyapunov稳定性理论,结合线性矩阵不等式技术,给出了确保系统均方指数稳定的条件,该条件不仅依赖于时延的上下界,还依赖于时延的概率分布。数值实例说明结论是有效的。Considering the random phenomenon of sensor failure, actuator failure and networked time-delay, the indepen-dent Bernoulli random sequences as switching matrices of sensor failure, actuator failure are introduced. The time-delay’s variation interval is divided into two subintervals, introducing the Bernoulli random variation and transforming the proba-bility distribution into parameter matrices. The random networked control system modeled is constructed. The problem of random fault-tolerant control with the existence of sensor failure and actuator failure for the system is investigated. Based on Lyapunov stability theory, combined with linear matrix inequality technology, the conditions for this system to be expo-nential stable in mean square sense are derived. These conditions depend on time delays probability distribution as well, not just depend on time-delay’s maximum and minimum bounds. At the end, a numerical example is given to illustrate the validity of the main results.

关 键 词：概率分布依赖 时滞拆分 网络化系统 随机容错设计 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]