Phase Control Strategy for Atomic Inertial Sensors Based on Cascaded Linear Extended State Observer

Aiming at the issue that traditional control strategies fail to achieve accurate phase tracking of nuclear spin phase in atomic sensors, a cascaded linear active disturbance rejection controller (CLADRC) is introduced to achieve effective suppression of high-order disturbances. First, the resonance control strategy with active disturbance rejection is designed based on the established nuclear spin resonance phase model. Subsequently, the improvement in disturbance estimation accuracy through cascaded linear extended observer (CLESO) is analyzed in the time domain. Then, the disturbance rejection performance of the system is evaluated in the complex frequency domain. Finally, simulations demonstrated the effectiveness of the proposed nuclear spin resonance control strategy, which exhibits enhanced disturbance rejection capabilities and phase tracking capabilities compared to traditional control strategies.