- Research Article
- Open Access
- Published:
Robust Stabilization of Fractional-Order Systems with Interval Uncertainties via Fractional-Order Controllers
Advances in Difference Equations volume 2010, Article number: 984601 (2010)
Abstract
We propose a fractional-order controller to stabilize unstable fractional-order open-loop systems with interval uncertainty whereas one does not need to change the poles of the closed-loop system in the proposed method. For this, we will use the robust stability theory of Fractional-Order Linear Time Invariant (FO-LTI) systems. To determine the control parameters, one needs only a little knowledge about the plant and therefore, the proposed controller is a suitable choice in the control of interval nonlinear systems and especially in fractional-order chaotic systems. Finally numerical simulations are presented to show the effectiveness of the proposed controller.
Publisher note
To access the full article, please see PDF
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Sayyad Delshad, S., Asheghan, M. & Hamidi Beheshti, M. Robust Stabilization of Fractional-Order Systems with Interval Uncertainties via Fractional-Order Controllers. Adv Differ Equ 2010, 984601 (2010). https://doi.org/10.1155/2010/984601
Received:
Accepted:
Published:
DOI: https://doi.org/10.1155/2010/984601
Keywords
- Partial Differential Equation
- Ordinary Differential Equation
- Nonlinear System
- Functional Equation
- Chaotic System