Skip to main content

Advertisement

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

Article metrics

  • 1235 Accesses

  • 3 Citations

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.

Publisher note

To access the full article, please see PDF

Author information

Correspondence to Mohammadtaghi Hamidi Beheshti.

Rights and permissions

Reprints and Permissions

About this article

Keywords

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