Input force estimation accounting for modeling errors and noise in responses

Determination of forces applied on structures and machines is very important in engineering. A dynamic force estimation method based on regularized total least squares method in time domain is proposed in this paper. This method can deal with errors in both system models and measured vibration responses, the latter of which are contaminated by white noise. A numerical test is made to illustrate the effectiveness of this force estimation method, and the numerical results obtained by the proposed method are shown to be more accurate than those from the conventional regularized least squares method