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  • Research Article
  • Open Access

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

  • 1,
  • 1 and
  • 1Email author
Advances in Difference Equations20102010:984601

  • Received: 31 December 2009
  • Accepted: 4 May 2010
  • Published:


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.


  • Partial Differential Equation
  • Ordinary Differential Equation
  • Nonlinear System
  • Functional Equation
  • Chaotic System

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Authors’ Affiliations

Electrical Engineering Department, Tarbiat Modares University, P.O.Box 14115-349, Tehran, Iran


© 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.