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In this paper, the problem of amplitude control of the cantilever in a Transverse Dynamic Force Microscope (TDFM) is considered. The dynamics of the cantilever are initially presented as a partial differential equation which is subsequently approximated by a finite dimensional model. The unknown shear force parameters which affect the amplitude of the cantilever are estimated by an adaptive scheme...
The dynamics of the cantilever in a Transverse Dynamic Force Microscope (TDFM) are presented by means of irrational transfer functions. An approximate model of the cantilever can then be obtained using a finite number of rational transfer functions. The shear force for this model can be estimated by adaptive schemes. Numerical simulations are presented to show the effectiveness of the proposed methods.
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