{"title":"一阶时滞系统的FO-PI镇定","authors":"S. Hafsi, K. Laabidi, R. Farkh","doi":"10.1109/ICOSC.2013.6750913","DOIUrl":null,"url":null,"abstract":"This paper presents a new tuning method for frational PI<sup>λ</sup> controllers. The main contribution is based on Hermite-Biehler theorem for time delay systems. A solution to the problem of stabilizing a given first order time delay plant is offered. The set of admissible (k<sub>p</sub>, k<sub>i</sub>) gain values is determined for the various values of λ and plotted in (k<sub>p</sub>, k<sub>i</sub>, λ) plane. The viability of the method is verified using two examples where λ ∈ [0.1 : 0.1 : 1] and λ ∈ ]1 : 0.1 : 2[. The comparison results show the effect of the fractional order integral.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stabilization using FO-PI controllers for first-order time delay systems\",\"authors\":\"S. Hafsi, K. Laabidi, R. Farkh\",\"doi\":\"10.1109/ICOSC.2013.6750913\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a new tuning method for frational PI<sup>λ</sup> controllers. The main contribution is based on Hermite-Biehler theorem for time delay systems. A solution to the problem of stabilizing a given first order time delay plant is offered. The set of admissible (k<sub>p</sub>, k<sub>i</sub>) gain values is determined for the various values of λ and plotted in (k<sub>p</sub>, k<sub>i</sub>, λ) plane. The viability of the method is verified using two examples where λ ∈ [0.1 : 0.1 : 1] and λ ∈ ]1 : 0.1 : 2[. The comparison results show the effect of the fractional order integral.\",\"PeriodicalId\":199135,\"journal\":{\"name\":\"3rd International Conference on Systems and Control\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"3rd International Conference on Systems and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICOSC.2013.6750913\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"3rd International Conference on Systems and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICOSC.2013.6750913","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stabilization using FO-PI controllers for first-order time delay systems
This paper presents a new tuning method for frational PIλ controllers. The main contribution is based on Hermite-Biehler theorem for time delay systems. A solution to the problem of stabilizing a given first order time delay plant is offered. The set of admissible (kp, ki) gain values is determined for the various values of λ and plotted in (kp, ki, λ) plane. The viability of the method is verified using two examples where λ ∈ [0.1 : 0.1 : 1] and λ ∈ ]1 : 0.1 : 2[. The comparison results show the effect of the fractional order integral.
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