Abstract: There are a variety of uncertainties, e.g., model uncertainty, unknown external excitation and variety of internal parameters in the smart material structures, which have a great influence on the vibration control performance of the closed-loop system. Therefore, the model-independent active disturbance rejection vibration control (ADRVC) based on the extended state observer (ESO) is designed, considering the internal disturbances and environment excitation as lumped disturbances. But it is inevitable that the ESO has the estimation errors of the disturbances and states while the disturbances change, which can degrade the effects of the vibration control. In order to overcome the weakness of the original second order active disturbance rejection control (ADRC) for the active vibration control, an active disturbance rejection controller based on state estimation error compensation for the smart piezoelectric structure is proposed. The estimation error of the disturbances and states of the ESO is used to compensate the ADRC to reduce the disturbances and states estimation burden of the ESO and to improve the effects of the active vibration control. In order to verify the proposed algorithm, the dSPACE real-time simulation platform is used and an experimental platform for the all-clamped panel smart piezoelectric structure active vibration control is set up. The experiment results with four situations demonstrate the effectiveness, practicality and strong anti-disturbance ability of the proposed control strategy.

Key words: Active disturbance rejection controller, Active vibration control, All-clamped panel, Error compensation, Smart piezoelectric structure, Grinding force, Removal amount, Surface roughness, Surface topography, Rail grinding