Discrete-time Implementation of Adaptive Estimation in the Transverse Dynamic Force Microscope

In this paper, we investigate an estimation problem in a Transverse Dynamic Force Microscope (TDFM). The dynamics of its cantilever is considered for which an approximate finite dimensional model is obtained by using a truncated method. With this model, discrete-time estimators are proposed to estimate the parameters of the shear force between the cantilever and the specimen. Numerical simulations were conducted to show the effectiveness of the proposed methods.