{"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}
引用次数: 0
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.<>
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