{"title":"线性二维系统的最优控制(二次性能)","authors":"M. Rostan, E.B. Lee","doi":"10.1109/CDC.1989.70124","DOIUrl":null,"url":null,"abstract":"Consideration is given to Roesser's model of a two dimensional linear discrete-time system and the task of determining an optimal control for the minimization of a quadratic cost functional over a finite set. It is shown that the optimal control is given by a state feedback; the solution of a Riccati equation appears in the feedback operation. The control on an infinite set is also discussed.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Optimal control (quadratic performance) for linear two-dimensional systems\",\"authors\":\"M. Rostan, E.B. Lee\",\"doi\":\"10.1109/CDC.1989.70124\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Consideration is given to Roesser's model of a two dimensional linear discrete-time system and the task of determining an optimal control for the minimization of a quadratic cost functional over a finite set. It is shown that the optimal control is given by a state feedback; the solution of a Riccati equation appears in the feedback operation. The control on an infinite set is also discussed.<<ETX>>\",\"PeriodicalId\":156565,\"journal\":{\"name\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1989.70124\",\"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 the 28th IEEE Conference on Decision and Control,","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1989.70124","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimal control (quadratic performance) for linear two-dimensional systems
Consideration is given to Roesser's model of a two dimensional linear discrete-time system and the task of determining an optimal control for the minimization of a quadratic cost functional over a finite set. It is shown that the optimal control is given by a state feedback; the solution of a Riccati equation appears in the feedback operation. The control on an infinite set is also discussed.<>