Samira Mahmooee, Omid RabieiMotlagh, Haji M. Mohammadinejad
{"title":"A non-stochastic control method for systems under small random jumps","authors":"Samira Mahmooee, Omid RabieiMotlagh, Haji M. Mohammadinejad","doi":"10.1016/j.sysconle.2025.106064","DOIUrl":null,"url":null,"abstract":"<div><div>We consider a control problem containing a small Markov jump process and an on–off switch. A novel stochastic time-averaging (not a probability-averaging) technique is presented to calculate an approximate non-stochastic control that steers the system into a small neighborhood of the target point. We compute the control’s accuracy and the admissibility of the corresponding probabilities. This result will be utilized to manage a resonant power converter. The numerical plot confirms the accuracy of the estimated control outlined in this research.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"199 ","pages":"Article 106064"},"PeriodicalIF":2.1000,"publicationDate":"2025-03-11","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/S0167691125000465","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
We consider a control problem containing a small Markov jump process and an on–off switch. A novel stochastic time-averaging (not a probability-averaging) technique is presented to calculate an approximate non-stochastic control that steers the system into a small neighborhood of the target point. We compute the control’s accuracy and the admissibility of the corresponding probabilities. This result will be utilized to manage a resonant power converter. The numerical plot confirms the accuracy of the estimated control outlined in this research.
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.