{"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}
引用次数: 0
Abstract
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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