高斯中继信道反馈下马尔可夫跳变线性系统的可镇定性  

Stabilizability of Markov jump linear systems over a Gaussian relay channel

作　　者：宋杨[1,2] 刘永壮 黄正龙 侯维岩 SONG Yang;LIU Yong-zhuang;HUANG Zheng-long;HOU Wei-yan(School of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072, China;Shanghai Key Laboratory of Power Station Automation Technology, Shanghai 200072, China;School of Information Engineering, Zhengzhou University, Zhengzhou 450001, China)

机构地区：[1]上海大学机电工程与自动化学院,上海200072 [2]上海电站自动化技术重点实验室,上海200072 [3]郑州大学信息工程学院,郑州450001

出　　处：《控制与决策》2018年第7期1271-1276,共6页Control and Decision

基　　金：国家自然科学基金项目(61573237)

摘　　要：研究利用高斯中继信道实现反馈信息传输情形下马尔可夫跳变线性系统的均方可镇定性问题.首先针对一般类型的高斯信道,从信息论角度给出上述马尔可夫跳变线性系统镇定所需要的必要条件;然后分别针对半双工串联中继信道以及非正交网络信道这两种特殊类型的高斯信道,在考虑传输信号存在平均功率约束的情况下,给出马尔可夫跳变线性系统的均方可镇定性与上述信道参量之间的内在联系;最后通过数值仿真例子验证了上述理论结果.Mean square stabilizability of a Markov jump linear system Using Gaussian relay communication channels is investigated. Firstly, necessary conditions of general Gaussian channels are given to guarantee the mean square stabilizability of the Markov jump linear system. Considering two specified types of Gaussian relay channels（i.e. halfduplex cascade channels and nonorthogonal network channels） with average power constraint, the relationships between mean square stabilizability of the Markov jump linear system and the parameters of the communition channels are presented. Finally, the proposed theoretic results ars verified by a numerical example.

关 键 词：网络控制 马尔可夫跳变系统 均方可镇定 信息论 高斯中继信道 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]