{"title":"用单片机求解分数阶后向差分方程","authors":"M. Matusiak, D. Sankowski, P. Ostalczyk","doi":"10.1109/IIPHDW.2018.8388384","DOIUrl":null,"url":null,"abstract":"In the paper an analysis of the fractional-order backward difference and linear time-invariant difference equations based on the mentioned difference is considered. The analysis is focused on a solution realized by a microcontroller. The problem of the so called “calculation tail” is analyzed. The solutions are compared with these obtained in Matlab. The considerations are important in the context of the fractional-order PID controller real-time implementation.","PeriodicalId":405270,"journal":{"name":"2018 International Interdisciplinary PhD Workshop (IIPhDW)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a fractional-order backward difference equation solution solved by a microcontroller\",\"authors\":\"M. Matusiak, D. Sankowski, P. Ostalczyk\",\"doi\":\"10.1109/IIPHDW.2018.8388384\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the paper an analysis of the fractional-order backward difference and linear time-invariant difference equations based on the mentioned difference is considered. The analysis is focused on a solution realized by a microcontroller. The problem of the so called “calculation tail” is analyzed. The solutions are compared with these obtained in Matlab. The considerations are important in the context of the fractional-order PID controller real-time implementation.\",\"PeriodicalId\":405270,\"journal\":{\"name\":\"2018 International Interdisciplinary PhD Workshop (IIPhDW)\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 International Interdisciplinary PhD Workshop (IIPhDW)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IIPHDW.2018.8388384\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 International Interdisciplinary PhD Workshop (IIPhDW)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IIPHDW.2018.8388384","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On a fractional-order backward difference equation solution solved by a microcontroller
In the paper an analysis of the fractional-order backward difference and linear time-invariant difference equations based on the mentioned difference is considered. The analysis is focused on a solution realized by a microcontroller. The problem of the so called “calculation tail” is analyzed. The solutions are compared with these obtained in Matlab. The considerations are important in the context of the fractional-order PID controller real-time implementation.
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