A new active disturbance controller based on an improved fraction-order extended state observer

TL;DR

This paper introduces a novel fractional-order active disturbance rejection controller utilizing an improved fractional-order extended state observer, enhancing disturbance estimation and control performance for fractional-order systems.

Contribution

It presents a new fractional-order active disturbance rejection controller based on an improved fractional-order extended state observer, with stability analysis and superior disturbance estimation capabilities.

Findings

IFADRC outperforms IADRC in disturbance estimation.

Simulation shows IFADRC has better control performance than FADRC.

The proposed method effectively approximates fractional systems as integer-order integrators.

Abstract

This paper proposes a new fraction-order active disturbance rejection controller based on an improved fraction-order extended state observer (IFESO) for a class of fraction-order systems. Applying the IFESO, the fraction-order system can be approximated as an integer-order integrator (1/s). The parameters that ensure the stability of the IFESO and closed-loop system are provided. The frequency-domain analysis shows that the IFADRC has a stronger disturbance estimation performance for the fraction-order system than an integer-order active disturbance rejection controller (IADRC). The simulation results demonstrates that the proposed IFADRC behaves better than the IADRC and the FADRC.