{"title":"Output Regulation of Boolean Control Networks Under Probabilistic Outputs","authors":"Jie Zhong;Qinyao Pan;Die Xu;Bowen Li;Ning Li","doi":"10.1109/TCNS.2024.3510578","DOIUrl":null,"url":null,"abstract":"In this article, the output regulation problem (ORP) of Boolean control networks (BCNs) is studied via the semitensor product of matrices, with consideration of probabilistic outputs from the reference Boolean networks (BNs). We first define the concept of mean square error (MSE) between outputs of two BNs, establishing several theoretical results on the solvability of the ORP. Subsequently, state feedback controllers are designed to address the ORP of BCNs under different scenarios. In the first scenario, ORP is addressed by developing control strategies that ensure the system's output remains within a predefined MSE threshold. In the second scenario, we focus on achieving the minimum MSE through the optimization of control strategies. The final scenario extends the second by conducting a detailed analysis to maintain this minimum MSE uniformly across all state pairs. To conclude, several numerical examples are provided to verify the effectiveness of the proposed theoretical results.","PeriodicalId":56023,"journal":{"name":"IEEE Transactions on Control of Network Systems","volume":"12 1","pages":"28-37"},"PeriodicalIF":4.0000,"publicationDate":"2024-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Control of Network Systems","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10772630/","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, the output regulation problem (ORP) of Boolean control networks (BCNs) is studied via the semitensor product of matrices, with consideration of probabilistic outputs from the reference Boolean networks (BNs). We first define the concept of mean square error (MSE) between outputs of two BNs, establishing several theoretical results on the solvability of the ORP. Subsequently, state feedback controllers are designed to address the ORP of BCNs under different scenarios. In the first scenario, ORP is addressed by developing control strategies that ensure the system's output remains within a predefined MSE threshold. In the second scenario, we focus on achieving the minimum MSE through the optimization of control strategies. The final scenario extends the second by conducting a detailed analysis to maintain this minimum MSE uniformly across all state pairs. To conclude, several numerical examples are provided to verify the effectiveness of the proposed theoretical results.
期刊介绍:
The IEEE Transactions on Control of Network Systems is committed to the timely publication of high-impact papers at the intersection of control systems and network science. In particular, the journal addresses research on the analysis, design and implementation of networked control systems, as well as control over networks. Relevant work includes the full spectrum from basic research on control systems to the design of engineering solutions for automatic control of, and over, networks. The topics covered by this journal include: Coordinated control and estimation over networks, Control and computation over sensor networks, Control under communication constraints, Control and performance analysis issues that arise in the dynamics of networks used in application areas such as communications, computers, transportation, manufacturing, Web ranking and aggregation, social networks, biology, power systems, economics, Synchronization of activities across a controlled network, Stability analysis of controlled networks, Analysis of networks as hybrid dynamical systems.