{"title":"离散时间频率加权模型降阶","authors":"Y. Halevi","doi":"10.1109/CDC.1991.261761","DOIUrl":null,"url":null,"abstract":"The problem of frequency-weighted optimal model order reduction for discrete-time systems is considered. Necessary conditions completely characterizing the reduced-order model are given. The solution consists of a set of one generalized Riccati equation and two generalized Lyapunov equations all coupled by a projection. In the case when the frequency-weighting transfer function is strictly proper an additional projection appears in the solution.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Discrete-time frequency weighted model order reduction\",\"authors\":\"Y. Halevi\",\"doi\":\"10.1109/CDC.1991.261761\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of frequency-weighted optimal model order reduction for discrete-time systems is considered. Necessary conditions completely characterizing the reduced-order model are given. The solution consists of a set of one generalized Riccati equation and two generalized Lyapunov equations all coupled by a projection. In the case when the frequency-weighting transfer function is strictly proper an additional projection appears in the solution.<<ETX>>\",\"PeriodicalId\":344553,\"journal\":{\"name\":\"[1991] Proceedings of the 30th IEEE Conference on Decision and Control\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-12-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1991] Proceedings of the 30th IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1991.261761\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1991.261761","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Discrete-time frequency weighted model order reduction
The problem of frequency-weighted optimal model order reduction for discrete-time systems is considered. Necessary conditions completely characterizing the reduced-order model are given. The solution consists of a set of one generalized Riccati equation and two generalized Lyapunov equations all coupled by a projection. In the case when the frequency-weighting transfer function is strictly proper an additional projection appears in the solution.<>