{"title":"Derivation of fractional order differentiators","authors":"M. Hasan","doi":"10.1109/LASCAS.2014.6820306","DOIUrl":null,"url":null,"abstract":"Fractional order differentiator has been applied successfully to fractional order PID controller, signal processing, and image processing. In this paper IIR fractional differentiators are developed. Specifically, fractional delay filters in rational form are used to approximate fractional differentiators by incorporating square root Pade approximants with Simpson's and Boole's' differential operators.","PeriodicalId":235336,"journal":{"name":"2014 IEEE 5th Latin American Symposium on Circuits and Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 IEEE 5th Latin American Symposium on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LASCAS.2014.6820306","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
Fractional order differentiator has been applied successfully to fractional order PID controller, signal processing, and image processing. In this paper IIR fractional differentiators are developed. Specifically, fractional delay filters in rational form are used to approximate fractional differentiators by incorporating square root Pade approximants with Simpson's and Boole's' differential operators.
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