On the stability condition of active disturbance rejection control with time-varying bandwidth observer
Depeng Song1
Sen Chen1
Wenchao Xue2
Zhiliang Zhao3
1.School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710119,Shaanxi,China2.State Key Laboratory of Mathematical Sciences,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China;School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China3.School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710119,Shaanxi,China;Electrical and Control Engineering,North University of China,Taiyuan 030051,Shanxi,China
摘要：With the growing adoption of artificial intelligence algorithms and neural networks,online learning and adaptive methods for updating the bandwidth have become increasingly prevalent.However,the conditions required to ensure closed-loop stability when employing a time-varying bandwidth,as well as the supporting mathematical foundations,remain insufficiently studied.This paper investigates the stability condition for active disturbance rejection control(ADRC)with a time-varying bandwidth extended state observer(ESO).A new stability condition is derived,which means that the upper bound of rate of change for ESO bandwidth should be restricted.Moreover,under the proposed condition,the closed-loop stability of ADRC with a time-varying bandwidth observer is rigorously proved for nonlinear uncertainties.In simulations,the necessity of the proposed condition is illustrated,demonstrating that the rate of change of ESO bandwidth is crucial for closed-loop stability.
机标关键词：disturbanceobserverbandwidthstabilityactivecontrolwithcondition
论文发表日期：2025-08-30
在线出版日期：2025-12-09（本平台首次上网日期，不代表文献的发表时间）
页数：15( 464-478 )
英文信息