Robust Stabilization of Fractional-Order Systems with Interval Uncertainties via Fractional-Order Controllers
© Saleh Sayyad Delshad et al. 2010
Received: 31 December 2009
Accepted: 4 May 2010
Published: 31 May 2010
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.
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