@article{MAKHILLIJSSCEA201710628811,
    title = {Fractional PI Stabilization of Delay Systems: A Thermal Application},
    journal = {International Journal of System Signal Control and Engineering Application},
    volume = {10},
    number = {6},
    pages = {140-146},
    year = {2017},
    issn = {1997-5422},
    doi = {ijssceapp.2017.140.146},
    url = {https://makhillpublications.co/view-article.php?issn=1997-5422&doi=ijssceapp.2017.140.146},
    author = {Aymen,Sami and},
    keywords = {Fractional-order calcul,fractional order PI controller,first order delay system,thermal system},
    abstract = {We propose in this paper an application of
fractional-order PI<sup>&#955;</sup> controller as an alternative to solve
some of the control problems that can arise. It aims to
apply the analytical tuning procedure to control the heat
flow systems. The system modeled by first order system
involving time delay, this kind of systems whose
closed-loop characteristic equation are fractional order
quasi-polynomials. Using the proposed method, the entire
stability region of PI<sup>&#955;</sup> controllers is obtained and
visualized in the plane (K<sub>p</sub>, K<sub>i</sub>, &#955;). Simulation and
experimental results on thermal system are given to show
the effectiveness of this type of controllers and this tuning
rule.}
    }