Robust Stabilization of Fractional-Order Systems with Interval Uncertainties via Fractional-Order Controllers. (31st May 2010)

• Record Type: Journal Article
• Authors: Sayyad Delshad, Saleh; Asheghan, Mohammad Mostafa; Hamidi Beheshti, Mohammadtaghi
• Other Names: Diblik Josef Academic Editor.
• Is Part Of: Advances in difference equations. Volume 2010(2010)
• Publication Date: 2010-05-31
• Subjects: Difference equations -- Periodicals; 515.625
• DOI: 10.1155/2010/984601
• Languages: English
• ISSNs: 1687-1847

Abstract

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.