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

Advances in Difference Equations

Saleh Sayyad Delshad¹  Mohammadtaghi Hamidi Beheshti¹  MohammadMostafa Asheghan¹ 

[1] Electrical Engineering Department, Tarbiat Modares University, Tehran, Iran

关键词: Partial Differential Equation;    Ordinary Differential Equation;    Nonlinear System;    Functional Equation;    Chaotic System;   

DOI  :  10.1155/2010/984601

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY