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

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.

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Correspondence to Mohammadtaghi Hamidi Beheshti.

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Sayyad Delshad, S., Asheghan, M. & Hamidi Beheshti, M. Robust Stabilization of Fractional-Order Systems with Interval Uncertainties via Fractional-Order Controllers. Adv Differ Equ 2010, 984601 (2010). https://doi.org/10.1155/2010/984601

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Keywords

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