Advances in Difference Equations
Volume 2010 (2010), Article ID 984601, 15 pages
Research Article

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

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

Received 31 December 2009; Accepted 4 May 2010

Academic Editor: Josef Diblik

Copyright © 2010 Saleh Sayyad Delshad et al. 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.


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.