{"title":"Controller design for distributed systems baesd on Hankel-norm approximations","authors":"R. Curtain, K. Glover","doi":"10.1109/CDC.1984.272062","DOIUrl":null,"url":null,"abstract":"A procedure for obtaining a finite-dimensional reduced order model for a class of distributed systems is developed. It is based on a combination of a modal approximation and an optimal Hankel-norm approximation and the approximation error can be accurately predicted. The reduced order model can be used to design a precompensator for the original system as its performance and robust stability characteristics can be deduced from the reduced order model and finitely many modal parameters. The procedure is applied to a damped hyperbolic system.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 23rd IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1984.272062","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
A procedure for obtaining a finite-dimensional reduced order model for a class of distributed systems is developed. It is based on a combination of a modal approximation and an optimal Hankel-norm approximation and the approximation error can be accurately predicted. The reduced order model can be used to design a precompensator for the original system as its performance and robust stability characteristics can be deduced from the reduced order model and finitely many modal parameters. The procedure is applied to a damped hyperbolic system.
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