Optimal regularization of an inverse dynamics problem

Solving the inverse dynamics problem using Tikhonov regularization and dynamic programming requires the selection of an optimal smoothing parameter. One popular method for choosing the smoothing parameter is the generalized cross-validation method. This method works very well but is computationally expensive for large systems. Another method for selecting an optimal smoothing parameter is the L-curve method. This L-curve is easily computed and may prove very useful for large systems which preclude other methods. In this paper we investigate both of these methods for a simple cantilever beam that is subjected to an unknown force. A simulated strain measurement is used to provide the experimental data. (C) 1997 Elsevier Science Ltd.