Application of L_∞ norm fitting regularization method in dynamic load identification of space-crafts

Based on the variable limit integral theory, the weighted variable limit integral of response function was constructed with the least squares estimation technique. By performing the integral moving average method several times, the high-frequency noise in the measured noise was filtered effectively. Aiming at the residual low-frequency noise in the measured response, the L_∞ norm fitting regularization method was used for load identification. In order to realize this regularization method, a monotonicity validation method was proposed to select the optimal regularization parameters. The numerical simulation and the test verification showed that the proposed monotonicity validation method can determine the optimal regularization parameters of the L_∞ norm fitting regularization method effectively; in addition, the identified load is more accurate and more reliable than that using the traditional L₂ norm regularization method; aiming at the characteristics of noise in telemetry data, the impact load is identified effectively by using the L_∞ norm fitting regularization method and simulated telemetry data.