{"title":"一种基于状态转换的LQR问题显式求解方法","authors":"V. Ghaffari","doi":"10.1109/ICCIAUTOM.2017.8258684","DOIUrl":null,"url":null,"abstract":"In this paper, the well-known LQR problems are mainly investigated. In both of the continuous-time and discretetime representations, an explicit solution of the LQR problems are analytically determined with the proposed method. This procedure which, based on the state transition matrix, is used in two numerical examples to show the applicability of proposed method.","PeriodicalId":197207,"journal":{"name":"2017 5th International Conference on Control, Instrumentation, and Automation (ICCIA)","volume":"70 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A state transition based approach to explicit solution of the LQR problem\",\"authors\":\"V. Ghaffari\",\"doi\":\"10.1109/ICCIAUTOM.2017.8258684\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the well-known LQR problems are mainly investigated. In both of the continuous-time and discretetime representations, an explicit solution of the LQR problems are analytically determined with the proposed method. This procedure which, based on the state transition matrix, is used in two numerical examples to show the applicability of proposed method.\",\"PeriodicalId\":197207,\"journal\":{\"name\":\"2017 5th International Conference on Control, Instrumentation, and Automation (ICCIA)\",\"volume\":\"70 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 5th International Conference on Control, Instrumentation, and Automation (ICCIA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCIAUTOM.2017.8258684\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 5th International Conference on Control, Instrumentation, and Automation (ICCIA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCIAUTOM.2017.8258684","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A state transition based approach to explicit solution of the LQR problem
In this paper, the well-known LQR problems are mainly investigated. In both of the continuous-time and discretetime representations, an explicit solution of the LQR problems are analytically determined with the proposed method. This procedure which, based on the state transition matrix, is used in two numerical examples to show the applicability of proposed method.