On the stability of linear active disturbance rejection control: Virtual equivalent system approach

Abstract

Active disturbance rejection control is a unique control approach which could provide nice performance and need little knowledge of physical processes/plants. In order to analyze the stability of linear active disturbance rejection control (LADRC) by a direct and simple way, virtual equivalent system (VES) technique is adopted. By VES, global asymptotically stable with known process/plant dynamics and bounded input and bounded output stable with unknown process/plant dynamics are analyzed. The stability of LADRC for general single input single output nonlinear systems subject to dynamical and external uncertainties is analyzed from a brand-new viewpoint, which may be also helpful for stability analysis of other LADRC based system.