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

Advances in Difference Equations volume 2010, Article number: 984601 (2010) Cite this article

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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Authors and Affiliations

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

    Saleh Sayyad Delshad, MohammadMostafa Asheghan & Mohammadtaghi Hamidi Beheshti

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  1. Saleh Sayyad Delshad
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  2. MohammadMostafa Asheghan
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  3. Mohammadtaghi Hamidi Beheshti
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Correspondence to Mohammadtaghi Hamidi Beheshti.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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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  • DOI: https://doi.org/10.1155/2010/984601

Keywords

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