Cantilever Dynamics Modelling for the Transverse Dynamic Force Microscope

Thang Nguyen Tien, C Edwards, Guido Herrmann, Toshiaki Hatano, Stuart C Burgess, Mervyn J Miles

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

3 Citations (Scopus)


This paper studies the dynamics of the cantilever
in a Transverse Dynamic Force Microscope (TDFM). A series
expansion approach for the irrational transfer functions of
modelling the cantilever dynamics is presented in terms of
an infinite sum of second-order rational transfer functions
and a finite dimensional linear time invariant (LTI) system
model is developed. An approximate model of the cantilever
can then be obtained using a finite number of rational transfer functions. This approach preserves the physical constants from the underlying partial differential equation, and retains them in the approximate model. Future work will use these finite dimensional LTI systems as the basis for the design of observers and controllers for the TDFM at the NSQI centre at the University of Bristol.
Original languageEnglish
Title of host publicationProceedings of the 53rd Annual Conference on Decision and Control, Los Angeles, USA
Publication statusPublished - 2014


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