Cantilever Dynamics Modelling for the Transverse Dynamic Force Microscope

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

doi:10.1109/CDC.2014.7039564

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: Other contribution › peer-review

Abstract

This paper studies the dynamics of the cantileverin a Transverse Dynamic Force Microscope (TDFM). A seriesexpansion approach for the irrational transfer functions ofmodelling the cantilever dynamics is presented in terms ofan infinite sum of second-order rational transfer functionsand a finite dimensional linear time invariant (LTI) systemmodel is developed. An approximate model of the cantilevercan 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 language	English
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2014.7039564
Publication status	Published - 2014

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10.1109/CDC.2014.7039564

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title = "Cantilever Dynamics Modelling for the Transverse Dynamic Force Microscope",

abstract = "This paper studies the dynamics of the cantileverin a Transverse Dynamic Force Microscope (TDFM). A seriesexpansion approach for the irrational transfer functions ofmodelling the cantilever dynamics is presented in terms ofan infinite sum of second-order rational transfer functionsand a finite dimensional linear time invariant (LTI) systemmodel is developed. An approximate model of the cantilevercan 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.",

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AU - Nguyen Tien, Thang

AU - Edwards, C

AU - Herrmann, Guido

AU - Hatano, Toshiaki

AU - Burgess, Stuart C

AU - Miles, Mervyn J

PY - 2014

Y1 - 2014

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AB - This paper studies the dynamics of the cantileverin a Transverse Dynamic Force Microscope (TDFM). A seriesexpansion approach for the irrational transfer functions ofmodelling the cantilever dynamics is presented in terms ofan infinite sum of second-order rational transfer functionsand a finite dimensional linear time invariant (LTI) systemmodel is developed. An approximate model of the cantilevercan 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.

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DO - 10.1109/CDC.2014.7039564

M3 - Other contribution

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Cantilever Dynamics Modelling for the Transverse Dynamic Force Microscope

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