Stability Regions of Fractional First Order Controllers Applied to Fractional Order Delay Systems-Reference-Cited by-同舟云学术

Stability Regions of Fractional First Order Controllers Applied to Fractional Order Delay Systems

Published:2021-04-22 Issue: Volume:15 Page:86-90
ISSN:1998-0140
Container-title:International Journal of Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:

Author:

Saadaoui Karim¹

Affiliation:

1. Department of Computer Engineering, College of Computers and Information Technology, Taif University, Taif, Saudi Arabia

Abstract

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.

Publisher

North Atlantic University Union (NAUN)

Subject

Applied Mathematics,Computational Mathematics,Mathematical Physics,Modelling and Simulation

Reference15 articles.

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