{"title":"The four block problem for distributed systems","authors":"C. Foias, A. Tannebaum","doi":"10.1109/CDC.1988.194462","DOIUrl":null,"url":null,"abstract":"A study is made of the singular values of the four-block operator, which appears naturally in many H/sup infinity / control problems. Following the framework of the monograph of B.A. Francis (1987), almost all such robust design problems can be formulated in terms of the spectral properties of such an operator. This includes the problems of sensitivity and mixed-sensitivity minimization, model matching, and certain tracking problems. The authors' techniques give the optimal solution to this problem, which is valid for a large class of distributed systems.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 27th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1988.194462","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
A study is made of the singular values of the four-block operator, which appears naturally in many H/sup infinity / control problems. Following the framework of the monograph of B.A. Francis (1987), almost all such robust design problems can be formulated in terms of the spectral properties of such an operator. This includes the problems of sensitivity and mixed-sensitivity minimization, model matching, and certain tracking problems. The authors' techniques give the optimal solution to this problem, which is valid for a large class of distributed systems.<>
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