Active disturbance rejection control for fractional-order system
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Updated: May 14, 2026

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Published on: November 24, 2021
Mingda Li1, Donghai Li, Jing Wang
1Engineering Research Institute, University of Science and Technology Beijing, No. 30 Xueyuan Road, Haidian District, Beijing 100083, China. inventorlmd@gmail.com
Abstract:
Fractional-order proportional-integral (PI) and proportional-integral-derivative (PID) controllers are the most commonly used controllers in fractional-order systems. However, this paper proposes a simple integer-order control scheme for fractional-order system based on active disturbance rejection method. By treating the fractional-order dynamics as a common disturbance and actively rejecting it, active disturbance rejection control (ADRC) can achieve the desired response. External disturbance, sensor noise, and parameter disturbance are also estimated using extended state observer. The ADRC stability of rational-order model is analyzed. Simulation results on three typical fractional-order systems are provided to demonstrate the effectiveness of the proposed method.
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