This research presents an innovative gas sensor system featuring a selenized 2D-film as its primary sensing material, integrated with metal-gate-coupled floating gate devices to enable self-convergent calibration. The inherent variability in resistance levels of 2D gas-sensing materials across different devices has been a significant challenge, resulting in substantial output signal deviations within the sensing circuit. To address this issue, we introduce a novel self-convergent operational technique, which effectively mitigates the impact of resistance variations, thereby enhancing the precision and reliability of gas sensing outcomes. Our proposed gas sensor system promises to deliver consistent and accurate results, even in the presence of device-to-device resistance variations, making it a valuable contribution to the field of gas sensing technology. This work holds substantial potential for various applications requiring highly accurate gas detection and quantification.