Exponential stability control for a class of nonlinear stochastic networked control systems

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摘要:

研究了一类非线性随机网络控制系统的均方指数稳定控制问题.通过在网络诱导时延的时变区间插入分点,把网络诱导时延转化为满足区间Bernoulli分布的随机变量,并根据随机变量在不同区间上的取值,利用T-S模糊方法建立了网络控制系统新模型.把线性矩阵不等式方法应用到新模型的处理中,得到了时延依赖的指数稳定条件,给出了模糊控制的设计方法,并对一类具体的网络系统进行了数值计算和模拟仿真.

The problem of mean square exponential stability control for a class of nonlinear stochastic networked control systems is considered in this paper.By inserting a point into the time-varying interval of network-induced delay,the network-induced delay is transformed into a random variable satisfying the interval Bernoulli distribution.According to the values of random variables in different intervals,a new model of the networked control systems is established by using T-S fuzzy method.Then the linear matrix inequality method is applied to the processing of the new model.The delay dependence exponential stability condition is obtained,and the design method of fuzzy controller is given.The numerical calculation and simulation of specific networked systems are carried out.

作者:

姚合军 李钧涛

Yao Hejun;Li Juntao(School of Mathematics and Statistics,Anyang Normal University,Anyang 455000,China;College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China)

机构地区:

安阳师范学院数学与统计学院 betway官方app 数学与信息科学学院

出处:

《betway官方app 学报:自然科学版》 CAS 北大核心 2019年第6期31-37,共7页

基金:

国家自然科学基金(61073065) 河南省科技厅科技攻关项目(182102210204) 河南省高等学校青年骨干教师培养计划项目(2019GGJS192) 河南省教育厅自然科学基金重点项目(20A110009)

关键词:

网络系统 指数稳定 随机系统 时延

networked systems exponential stability stochastic systems delay

分类号:

TP273 [自动化与计算机技术—检测技术与自动化装置]


一类非线性随机网络系统的均方指数稳定控制.pdf

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