Open AccessStability Regions of Fractional First Order Controllers Applied to Fractional Order Delay Systems
Author(s) -
Karim Saadaoui
Publication year - 2021
Publication title -
international journal of mathematical models and methods in applied sciences
Language(s) - English
Resource type - Journals
ISSN - 1998-0140
DOI - 10.46300/9101.2021.15.12
Subject(s) - fractional order system , control theory (sociology) , controller (irrigation) , stability (learning theory) , fractional calculus , order (exchange) , mathematics , boundary (topology) , set (abstract data type) , computer science , mathematical analysis , control (management) , finance , artificial intelligence , machine learning , biology , agronomy , economics , programming language
This paper focuses on the problem of stabilizing fractional order time delay systems by fractional first order controllers. A solution is proposed to find the set of all stability regions in the controller’s parameter space. The D-decomposition method is employed to find the real root boundary and complex root boundaries which are used to identify the stability regions. Illustrative examples are given to show the effectiveness of the proposed approach, and it is remarked that the stability region obtained for the fractional order controller is larger than the non-fractional controller.