Levenberg–Marquardt iterative regularization for the pulse-type impact-force reconstruction

In this paper, we study the Levenberg–Marquardt algorithm with the trust region strategy to iteratively solve the ill-posed impact-force reconstruction problem. This particular problem is interesting because the impact-force particularly those of the pulse-type are difficult to be measured directly. In the present approach, the necessity of regularization is enforced by means of the trust region approach. This study mainly contributes a systematic approach to locate the optimal solution by tracking the Levenberg–Marquardt parameter. The proposed method is evaluated by solving two typical problem existed in the inverse problem of the impact-force reconstruction. Reasonable accurate impact-forces were produced from the both evaluations.