The Differential Optical Absorption Spectroscopy(DOAS) technique uses the narrow molecular absorption bands and absorption strength to retrieve concentrations of the gases based on least square methods.We propose an algorithm for gas concentration recovery for the real world case where the DOAS system model is subject to uncertainties.The method is based on the formulation of concentration reconstruction as a regularization problem,where the dynamic change of gas concentration is treated as a state equation and the measurements of DOAS is used to form the measurement equation.The estimation is achieved with the aid of an adaptive Kalman filter framework.It is derived and extended from the Kalman filtering principles and is particularly powerful for real-world situations where the levels of the disturbances are unknown.The performance of our work is evaluated by using the experimental data.