{"title":"Optimal parameter identification for reduced-order discrete-time modeling of time-varying systems","authors":"R. Paroda, A. Kumar","doi":"10.1109/ICSYSE.1990.203152","DOIUrl":null,"url":null,"abstract":"A generalized approach for optimal model reduction of discrete systems is proposed. The performance measure is quadratic with positive-definite weighting. Minimizing the associated Hamiltonian with respect to the reduced-order model (ROM) parameters yields an optimal result. Assuming a bounded uniform realization of the full-order system, it is shown that the corresponding Hessian matrix is always positive definite provided the ROM is also uniform","PeriodicalId":259801,"journal":{"name":"1990 IEEE International Conference on Systems Engineering","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1990 IEEE International Conference on Systems Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICSYSE.1990.203152","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A generalized approach for optimal model reduction of discrete systems is proposed. The performance measure is quadratic with positive-definite weighting. Minimizing the associated Hamiltonian with respect to the reduced-order model (ROM) parameters yields an optimal result. Assuming a bounded uniform realization of the full-order system, it is shown that the corresponding Hessian matrix is always positive definite provided the ROM is also uniform
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