| 引用本文: | 游科友,谢立华.镇定网络化线性系统的数据率定理[J].控制理论与应用,2014,31(7):934~940.[点击复制] |
| YOU Ke-you,XIE Li-hua.Data rate theorems for stabilization of networked linear systems[J].Control Theory and Technology,2014,31(7):934~940.[点击复制] |
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| 镇定网络化线性系统的数据率定理 |
| Data rate theorems for stabilization of networked linear systems |
| 摘要点击 2297 全文点击 1936 投稿时间：2014-01-06 修订日期：2014-03-03 |
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| DOI编号 10.7641/CTA.2014.40006 |
| 2014,31(7):934-940 |
| 中文关键词 网络化系统 镇定性 数据率 通信信道 |
| 英文关键词 networked system stabilization data rate communication channel |
| 基金项目 国家自然科学基金资助项目(61304038, 61120106011); 教育部留学回国人员科研启动基金资助项目. |
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| 中文摘要 |
| 传统控制理论研究如何利用反馈信息实现控制目标, 且通常假定通信链路的物理局限性对控制系统没有 显著影响. 通信理论研究如何将信息从信道的一端可靠地传输到另一端, 但忽略传输信息的具体用途. 因此, 控制 和通信在过去是两门相对独立发展的学科. 网络化控制系统的涌现促使研究者综合利用控制和通信理论来刻画反 馈通信网络对控制系统的影响. 本文回顾了基于数字通信网络的离散线性系统的可镇定性问题. 特别地, 基于信息 理论的控制方法, 讨论了镇定网络化线性系统所需的最低通信数据率问题. 结果表明, 最低数据率本质上取决于开 环系统的拓扑熵率. |
| 英文摘要 |
| Traditional control theory is concerned with using information in a feedback loop, and usually assumes that limitations in communication links do not significantly affect the control systems. Communication theory studies how to reliably transmit messages from one point to another, regardless of the usage of the transmitted messages. Thus, control and communication have evolved as separate subjects. The emergence of networked control systems brings together the ideas from both control and communication theories to study how the feedback networks affect the control systems. In this work, we discuss the stabilization problem of a discrete-time linear dynamical system over a digital communication channel. In particular, we focus on the minimum information rate for stabilization of a networked linear system from the information-theoretic approach. It is shown that the topological entropy of the system imposes a fundamental limitation on the information rate for stabilization. |
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