Stability Analysis of the Active Disturbance Rejection Controller for Electromagnetically Controlled Spacecraft Clusters

An active disturbance rejection control (ADRC) method is proposed for configuration maintenance of an electromagnetically controlled spacecraft cluster. In this paper, the stability of the ADRC controller is analyzed. First, the ADRC controller is introduced. Furthermore, a Lyapunov function is constructed, and according to the positive definiteness of Lyapunov function matrix, a sufficient condition for ADRC controller is derived. Finally, numerical simulations are performed to verify the effectiveness of the controller, and the controller is confirmed to be Lyapunov asymptotically stable.