{"title":"多时滞线性时变系统的最优控制","authors":"Hai-Lin Liu, G. Tang, Shiyuan Han","doi":"10.1109/ICMIC.2011.5973736","DOIUrl":null,"url":null,"abstract":"This paper considers the optimal control problem of a class of linear time-varying systems with multiple time-delays. A novel design approach to the optimal control law is proposed. By constructing a new state vector, the original system model and the performance index are simplified to equivalent ones without time-delay. So the infinite dimension problem of optimal control for systems with time-delays is avoided. The optimal control law is found by solving a matrix differential equation instead of a two-point boundary value problem, Simulation results demonstrate the effectiveness of the optimal control approach.","PeriodicalId":210380,"journal":{"name":"Proceedings of 2011 International Conference on Modelling, Identification and Control","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Optimal control for linear time-varying systems with multiple time-delays\",\"authors\":\"Hai-Lin Liu, G. Tang, Shiyuan Han\",\"doi\":\"10.1109/ICMIC.2011.5973736\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers the optimal control problem of a class of linear time-varying systems with multiple time-delays. A novel design approach to the optimal control law is proposed. By constructing a new state vector, the original system model and the performance index are simplified to equivalent ones without time-delay. So the infinite dimension problem of optimal control for systems with time-delays is avoided. The optimal control law is found by solving a matrix differential equation instead of a two-point boundary value problem, Simulation results demonstrate the effectiveness of the optimal control approach.\",\"PeriodicalId\":210380,\"journal\":{\"name\":\"Proceedings of 2011 International Conference on Modelling, Identification and Control\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 2011 International Conference on Modelling, Identification and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMIC.2011.5973736\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 2011 International Conference on Modelling, Identification and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMIC.2011.5973736","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimal control for linear time-varying systems with multiple time-delays
This paper considers the optimal control problem of a class of linear time-varying systems with multiple time-delays. A novel design approach to the optimal control law is proposed. By constructing a new state vector, the original system model and the performance index are simplified to equivalent ones without time-delay. So the infinite dimension problem of optimal control for systems with time-delays is avoided. The optimal control law is found by solving a matrix differential equation instead of a two-point boundary value problem, Simulation results demonstrate the effectiveness of the optimal control approach.