{"title":"Networked stabilization of multi-input systems over MIMO communication","authors":"Junhui Li , Wei Chen","doi":"10.1016/j.sysconle.2024.105836","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we study networked stabilization of a multi-input linear time-invariant (LTI) system closed over a multi-input multi-output (MIMO) communication system modeled as a MIMO transceiver. The controller and encoder/decoder pair are jointly designed subject to a total power constraint. We obtain an analytic solution to the minimum transmission power required for networked stabilization under coding/control co-design given in terms of the topological entropies of cyclic subsystems of the open-loop plant and the quality of service (QoS) of channel eigenmodes of the MIMO channel. Also, an optimal coding/control co-design procedure is proposed. The results generalize the understandings in the literature concerning parallel additive white noise (AWN) channels. A numerical example is provided to verify the results.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105836"},"PeriodicalIF":2.1000,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems & Control Letters","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167691124001245","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we study networked stabilization of a multi-input linear time-invariant (LTI) system closed over a multi-input multi-output (MIMO) communication system modeled as a MIMO transceiver. The controller and encoder/decoder pair are jointly designed subject to a total power constraint. We obtain an analytic solution to the minimum transmission power required for networked stabilization under coding/control co-design given in terms of the topological entropies of cyclic subsystems of the open-loop plant and the quality of service (QoS) of channel eigenmodes of the MIMO channel. Also, an optimal coding/control co-design procedure is proposed. The results generalize the understandings in the literature concerning parallel additive white noise (AWN) channels. A numerical example is provided to verify the results.
在本文中，我们研究了一个多输入线性时变（LTI）系统的网络稳定问题，该系统封闭在一个多输入多输出（MIMO）通信系统上，该系统被模拟为一个 MIMO 收发器。控制器和编码器/解码器对是在总功率约束下联合设计的。我们根据开环工厂循环子系统的拓扑熵和 MIMO 信道特征模的服务质量 (QoS) ，得到了编码/控制协同设计下网络稳定所需的最小传输功率的解析解。此外，还提出了一种最佳编码/控制协同设计程序。这些结果概括了文献中对并行加性白噪声（AWN）信道的理解。还提供了一个数值示例来验证结果。
期刊介绍：
Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.
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