Stability region analysis of linear active disturbance rejection controllers for first order systems with time delay
LI Da-zi
YU Wen-long
JIN Qi-bing
Abstract：The selection of controller parameters plays an important role to the stability of the closed-loop system when a linear active disturbance rejection controller(LADRC)is used to control a time-delay system. Unfortunately,for time-delay systems,there is no effective way to quantificationally obtain the stability region of LADRC.In this paper,the stability region of LADRC parameters is accurately determined by the dual-locus diagram method for first order time-delay systems controlled by LADRC.Motivated by the dual-locus diagram property,the problem of solving characteristic equation root distribution of control systems with time delay is effectively transformed into the problem of finding the frequency of the dual-locus diagram intersection point.Thus,the stability region which can guarantee the stability of the closed-loop system can be obtained.The obtained stability region provides a theoretical basis for the LADRC tuning of system with time delay. Simulation results demonstrate the validity of the proposed method.
Keywords：linear active disturbance rejection controldual-locus diagram methodtime delaystabilization
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 1244-1249 )