Open Access

Robust Stabilization of Fractional-Order Systems with Interval Uncertainties via Fractional-Order Controllers

  • Saleh Sayyad Delshad1,
  • MohammadMostafa Asheghan1 and
  • Mohammadtaghi Hamidi Beheshti1Email author
Advances in Difference Equations20102010:984601

https://doi.org/10.1155/2010/984601

Received: 31 December 2009

Accepted: 4 May 2010

Published: 31 May 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

Authors’ Affiliations

(1)
Electrical Engineering Department, Tarbiat Modares University

Copyright

© Saleh Sayyad Delshad et al. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.