Parallel Multi-Extended State Observers based {ADRC} with Application to High-Speed Precision Motion Stage

TL;DR

This paper introduces a parallel multi-ESO based active disturbance rejection control method that improves tracking accuracy in high-speed precision motion stages with nonlinear uncertainties.

Contribution

It proposes a novel switching ADRC approach with parallel multi-ESOs and provides a rigorous stability proof, enhancing tracking performance over traditional methods.

Findings

Higher tracking accuracy achieved in experiments.

Effective disturbance rejection in nonlinear and elastic deformation conditions.

Rigorous stability proof of the proposed algorithm.

Abstract

In this paper, the parallel multi-extended state observers (ESOs) based active disturbance rejection control approach is proposed to achieve desired tracking performance by automatically selecting the estimation values leading to the least tracking error. First, the relationship between the estimation error of ESO and the tracking error of output is quantitatively studied for single ESO with general order. In particular, the algorithm for calculating the tracking error caused by single ESO's estimation error is constructed. Moreover, by timely evaluating the least tracking error caused by different ESOs, a novel switching ADRC approach with parallel multi-ESOs is proposed. In addition, the stability of the algorithm is rigorously proved. Furthermore, the proposed ADRC is applied to the high-speed precision motion stage which has large nonlinear uncertainties and elastic deformation disturbances near the dead zone of friction. The experimental results show that the parallel multi-ESOs based ADRC has higher tracking performance than the traditional single ESO based ADRC.