Exponential decay adaptive robust control for electron spin magnetization in atomic spin gyroscopes

Abstract

As the demand for high-precision navigation and stability in engineering grows, traditional mechanical and optical gyroscopes face performance and size limitations. Atomic Spin Gyroscopes (ASGs) offer exceptional precision and stability, with potential for miniaturization. However, electron spin magnetization (ESM) is sensitive to interference from various physical fields, and its stability is crucial for ASGs performance. Current research lacks effective closed-loop control solutions to stabilize ESM under parameter fluctuation and external disturbance. In this study, we develop an affine nonlinear system model with non-autonomous characteristics for ESM and propose an exponential decay adaptive robust control (EDARC) strategy to address this challenge. In addition, an innovative hardware architecture for direct measurement and control of ESM is implemented. Comparative simulations reveal that the EDARC outperforms existing approaches, while experimental results show substantial improvements in system stability. The proposed method demonstrates a significant enhancement in ESM stabilization by reducing the Integral of Absolute Error (IAE) by over 95%, effectively mitigating the impact of magnetic and thermal disturbances. Allan deviation analysis further confirms the improvement in long-term stability, with reductions exceeding 90%, highlighting the robustness of the proposed strategy in maintaining precise ESM control over extended periods.