{"title":"具有输出和状态延迟的布尔控制网络的超前控制:从史密斯预测器到它的修正","authors":"Weiwei Zhang , Yuanchang Sun , Kai Huang","doi":"10.1016/j.jfranklin.2025.107767","DOIUrl":null,"url":null,"abstract":"<div><div>The paper studies the application of the Smith predictor in designing the control of Boolean Control Networks (BCNs) with delays. We present the Smith predictor and its modified version as general frameworks that can be constructed upon any nominal controller. The approach is then utilized for the design of a time-optimal controller for BCNs with output delays and state delays, using a delay-free time-optimal controller as the nominal controller. The controllability of the Smith predictor and the modified Smith predictor is also investigated. By introducing a quasi-distance, we compare the performance of the optimal controller with other types of controllers for the delayed BCNs. The results demonstrate that our approach is flexible, effective, and performs well.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107767"},"PeriodicalIF":4.2000,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Advancing control of Boolean control networks with delays in output and states: From the Smith predictor to its modification\",\"authors\":\"Weiwei Zhang , Yuanchang Sun , Kai Huang\",\"doi\":\"10.1016/j.jfranklin.2025.107767\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The paper studies the application of the Smith predictor in designing the control of Boolean Control Networks (BCNs) with delays. We present the Smith predictor and its modified version as general frameworks that can be constructed upon any nominal controller. The approach is then utilized for the design of a time-optimal controller for BCNs with output delays and state delays, using a delay-free time-optimal controller as the nominal controller. The controllability of the Smith predictor and the modified Smith predictor is also investigated. By introducing a quasi-distance, we compare the performance of the optimal controller with other types of controllers for the delayed BCNs. The results demonstrate that our approach is flexible, effective, and performs well.</div></div>\",\"PeriodicalId\":17283,\"journal\":{\"name\":\"Journal of The Franklin Institute-engineering and Applied Mathematics\",\"volume\":\"362 12\",\"pages\":\"Article 107767\"},\"PeriodicalIF\":4.2000,\"publicationDate\":\"2025-06-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of The Franklin Institute-engineering and Applied Mathematics\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0016003225002601\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of The Franklin Institute-engineering and Applied Mathematics","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0016003225002601","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}
Advancing control of Boolean control networks with delays in output and states: From the Smith predictor to its modification
The paper studies the application of the Smith predictor in designing the control of Boolean Control Networks (BCNs) with delays. We present the Smith predictor and its modified version as general frameworks that can be constructed upon any nominal controller. The approach is then utilized for the design of a time-optimal controller for BCNs with output delays and state delays, using a delay-free time-optimal controller as the nominal controller. The controllability of the Smith predictor and the modified Smith predictor is also investigated. By introducing a quasi-distance, we compare the performance of the optimal controller with other types of controllers for the delayed BCNs. The results demonstrate that our approach is flexible, effective, and performs well.
期刊介绍:
The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.