{"title":"用有理函数近似法建立黑箱模型","authors":"R. Gao, Y. Mekonnen, W. Beyene, J. Schutt-Ainé","doi":"10.1109/SPI.2004.1409017","DOIUrl":null,"url":null,"abstract":"In this paper, a rational function approach is used to approximate the transfer function of linear systems characterized by sampled data. The ill-conditioned Vandermonde-like matrix associated with the ordinary power series is avoided by using Chebyshev polynomials. Clenshaw's recurrence algorithm is applied in transforming the Chebyshev coefficients to the ordinary power series. The passivity of the system is enforced through certain constraints on the residues.","PeriodicalId":119776,"journal":{"name":"Proceedings. 8th IEEE Workshop on Signal Propagation on Interconnects","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2004-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Black-box modelling by rational function approximation\",\"authors\":\"R. Gao, Y. Mekonnen, W. Beyene, J. Schutt-Ainé\",\"doi\":\"10.1109/SPI.2004.1409017\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a rational function approach is used to approximate the transfer function of linear systems characterized by sampled data. The ill-conditioned Vandermonde-like matrix associated with the ordinary power series is avoided by using Chebyshev polynomials. Clenshaw's recurrence algorithm is applied in transforming the Chebyshev coefficients to the ordinary power series. The passivity of the system is enforced through certain constraints on the residues.\",\"PeriodicalId\":119776,\"journal\":{\"name\":\"Proceedings. 8th IEEE Workshop on Signal Propagation on Interconnects\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. 8th IEEE Workshop on Signal Propagation on Interconnects\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SPI.2004.1409017\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 8th IEEE Workshop on Signal Propagation on Interconnects","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SPI.2004.1409017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Black-box modelling by rational function approximation
In this paper, a rational function approach is used to approximate the transfer function of linear systems characterized by sampled data. The ill-conditioned Vandermonde-like matrix associated with the ordinary power series is avoided by using Chebyshev polynomials. Clenshaw's recurrence algorithm is applied in transforming the Chebyshev coefficients to the ordinary power series. The passivity of the system is enforced through certain constraints on the residues.
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