{"title":"Bias-policy iteration based optimal control for unknown continuous-time linear periodic systems","authors":"Xiang Li, Huaiyuan Jiang, Bin Zhou","doi":"10.1016/j.sysconle.2024.105819","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, the optimal control problem for unknown continuous-time linear periodic (CTLP) systems is investigated. A model-based bias-policy iteration algorithm for CTLP systems with its convergence proof is established firstly. Based on that, the data-driven implementation is proposed to approximate the optimal controller without the knowledge of system dynamics. Compared with the existing methods, the advantages of the proposed method are that, the initial stabilizing controller requirement is relaxed, and the approximate optimal controller can be obtained without solving nonlinear differential equations. The numerical simulation verifies the effectiveness of the proposed method.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2024-05-11","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/S0167691124001075","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, the optimal control problem for unknown continuous-time linear periodic (CTLP) systems is investigated. A model-based bias-policy iteration algorithm for CTLP systems with its convergence proof is established firstly. Based on that, the data-driven implementation is proposed to approximate the optimal controller without the knowledge of system dynamics. Compared with the existing methods, the advantages of the proposed method are that, the initial stabilizing controller requirement is relaxed, and the approximate optimal controller can be obtained without solving nonlinear differential equations. The numerical simulation verifies the effectiveness of the proposed method.
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.