控制理论与应用2024，Vol.41Issue(8)：1487-1494,8.DOI:10.7641/CTA.2023.20299
随机乘性噪声约束多输出离散系统的均方可检测性
Mean square detectability of multi-output discrete-time systems over stochastic multiplicative noise channels
摘要
Abstract
This study discusses the detectability of multiple output discrete-time systems under multiplicative noise constraints.It is assumed that the capacities of sub-channels are fixed prior and cannot be arbitrarily allocated.First,a multiplicative noise is used to model the communication channel,and the dynamic equation of the systems is established by virtue of the coding/observer co-design idea.Second,according to the properties of majorization and controllable decomposition technique,a sufficient condition for the detectability of the networked control systems(NCSs)is given.Meanwhile,based on the cyclic decomposition technique,the optimal complementary sensitivity and the majorization theory,a necessary condition for the detectability of the NCSs is also obtained.The sufficient and necessary conditions can be expressed by the form of majorization,which is composed of the topology entropy of the open loop system and the channel capacities of sub-channels.Finally,the rationality of the conclusion is verified by numerical examples and simulation.关键词
离散时间控制系统/信道容量/均方可检测/控制不等式/乘性噪声Key words
discrete time control systems/channel capacity/mean square detectability/majorization/multiplicative noise引用本文复制引用
邬依林,沈志萍,张瑾..随机乘性噪声约束多输出离散系统的均方可检测性[J].控制理论与应用,2024,41(8):1487-1494,8.基金项目
国家自然科学基金项目(62203155),广东省自然科学基金项目(2022A1515010485),河南省科技攻关计划项目(222102240051),广东第二师范学院网络工程重点学科项目(ZD2017004),河南师范大学国家青年基金培育项目(2021PL28)资助.Supported by the National Natural Science Foundation of China(62203155),the Natural Science Foundation of Guangdong Province(2022A1515010485),the Key Science and Technology Research Project of Henan Province of China(222102240051),the Guangdong University of Education Network Engineering Key Subject(ZD2017004)and the Cultivation Fund of National Research Project of Henan Normal University(2021PL28). （62203155）
