The active disturbance rejection control of a delayed 2‐degree‐of‐freedom structure against earthquake motion force is investigated. A shaking table that resembles the acceleration profiles of most known earthquakes is used to generate the horizontal force. To compensate the motions caused by the earthquake simulator, an active tuned mass and damper system is attached to the structure. Due to the strong effects of the motion forces as a disturbance input, an active disturbance rejection controller including an extended state observer is designed and implemented. The controller designed is modified with including a state predictor to address the control input delays induced by the remote networked control or actuator delays. The stability of the whole system is verified via Lyapunov analysis and tested on the structure sample including shaking table. The results show the effectiveness of the proposed approach to regulate the structure motions in different earthquake scenarios.
