An approach to determine cantilever movement is presented. An observer
based state estimation and statistical signal detection and estimation
techniques are applied to Atomic Force Microscopes. A first mode
approximation model of the cantilever is considered and an observer is
designed to estimate the dynamic states. The cantilever-sample
interaction is modeled as an impulsive force applied to the cantilever in
order to detect the presence of sample. A generalized likelihood ratio
test is performed to obtain the decision rule and the maximum likelihood
estimation of the unknown arrival time of the sample profile and unknown
magnitude of it. The use of the transient data results in sample
detection at least ten times faster than using the steady state
characteristics.