{"title":"状态反馈的稳定精确模型匹配综述","authors":"V. Kučera, E. Castañeda","doi":"10.1109/MED.2014.6961331","DOIUrl":null,"url":null,"abstract":"The problem of exact model matching by static state feedback is revisited. The main approaches applied to solve the problem are reviewed. The original solution based on matrix fraction descriptions is used to obtain a new parametric stable solution to the model matching problem. A constructive procedure is given that is based on column degree control and determinant control of a polynomial matrix. An interpretation of the existence conditions is provided in terms of equivalence relations over the rings of polynomials, proper rational functions, and proper and stable rational functions.","PeriodicalId":127957,"journal":{"name":"22nd Mediterranean Conference on Control and Automation","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"A review of stable exact model matching by state feedback\",\"authors\":\"V. Kučera, E. Castañeda\",\"doi\":\"10.1109/MED.2014.6961331\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of exact model matching by static state feedback is revisited. The main approaches applied to solve the problem are reviewed. The original solution based on matrix fraction descriptions is used to obtain a new parametric stable solution to the model matching problem. A constructive procedure is given that is based on column degree control and determinant control of a polynomial matrix. An interpretation of the existence conditions is provided in terms of equivalence relations over the rings of polynomials, proper rational functions, and proper and stable rational functions.\",\"PeriodicalId\":127957,\"journal\":{\"name\":\"22nd Mediterranean Conference on Control and Automation\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-06-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"22nd Mediterranean Conference on Control and Automation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MED.2014.6961331\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"22nd Mediterranean Conference on Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MED.2014.6961331","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A review of stable exact model matching by state feedback
The problem of exact model matching by static state feedback is revisited. The main approaches applied to solve the problem are reviewed. The original solution based on matrix fraction descriptions is used to obtain a new parametric stable solution to the model matching problem. A constructive procedure is given that is based on column degree control and determinant control of a polynomial matrix. An interpretation of the existence conditions is provided in terms of equivalence relations over the rings of polynomials, proper rational functions, and proper and stable rational functions.