Estimation of the Shear Force in Transverse Dynamic Force Microscopy Using a Sliding Mode Observer

Thang Nguyen Tien; Said G Khan; Christopher Edwards; Guido Herrmann; Loren M Picco; Robert L Harniman; Stuart C Burgess; Massimo Antognozzi; Mervyn J Miles

doi:10.1109/ACC.2013.6580697

Estimation of the Shear Force in Transverse Dynamic Force Microscopy Using a Sliding Mode Observer

Thang Nguyen Tien, Said G Khan, Christopher Edwards, Guido Herrmann, Loren M Picco, Robert L Harniman, Stuart C Burgess, Massimo Antognozzi, Mervyn J Miles

Research output: Other contribution › peer-review

Abstract

This paper concerns the application of a sliding mode observer to the problem of estimation of the shear force affecting the cantilever dynamics of a Transverse Dynamic Force Microscope (TDFM). The oscillated cantilever in proximity to a specimen permits the investigation of the specimen topography at nano-metre precision. The oscillation amplitude, but also in particular the shear forces, are a measure of distance to the specimen, and therefore the estimation of the shear force is of significance when attempting to construct TDFM images at submolecular accuracy. For estimation of the shear forces, an approximate model of the cantilever is derived using the method of lines. Model order reduction and sliding mode techniques are employed to reconstruct the unknown shear force affecting the cantilever dynamics based on only tip position measurements. Simulations are presented to illustrate the proposed scheme, which is to be implemented on the TDFM set up at the Centre for NSQI at Bristol.

Original language	English
Publisher	IEEE
Number of pages	6
ISBN (Print)	9781479901777
DOIs	https://doi.org/10.1109/ACC.2013.6580697
Publication status	Published - Oct 2013

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title = "Estimation of the Shear Force in Transverse Dynamic Force Microscopy Using a Sliding Mode Observer",

abstract = "This paper concerns the application of a sliding mode observer to the problem of estimation of the shear force affecting the cantilever dynamics of a Transverse Dynamic Force Microscope (TDFM). The oscillated cantilever in proximity to a specimen permits the investigation of the specimen topography at nano-metre precision. The oscillation amplitude, but also in particular the shear forces, are a measure of distance to the specimen, and therefore the estimation of the shear force is of significance when attempting to construct TDFM images at submolecular accuracy. For estimation of the shear forces, an approximate model of the cantilever is derived using the method of lines. Model order reduction and sliding mode techniques are employed to reconstruct the unknown shear force affecting the cantilever dynamics based on only tip position measurements. Simulations are presented to illustrate the proposed scheme, which is to be implemented on the TDFM set up at the Centre for NSQI at Bristol.",

author = "{Nguyen Tien}, Thang and Khan, {Said G} and Christopher Edwards and Guido Herrmann and Picco, {Loren M} and Harniman, {Robert L} and Burgess, {Stuart C} and Massimo Antognozzi and Miles, {Mervyn J}",

year = "2013",

month = oct,

doi = "10.1109/ACC.2013.6580697",

language = "English",

isbn = "9781479901777",

publisher = "IEEE",

address = "United States",

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T1 - Estimation of the Shear Force in Transverse Dynamic Force Microscopy Using a Sliding Mode Observer

AU - Nguyen Tien, Thang

AU - Khan, Said G

AU - Edwards, Christopher

AU - Herrmann, Guido

AU - Picco, Loren M

AU - Harniman, Robert L

AU - Burgess, Stuart C

AU - Antognozzi, Massimo

AU - Miles, Mervyn J

PY - 2013/10

Y1 - 2013/10

N2 - This paper concerns the application of a sliding mode observer to the problem of estimation of the shear force affecting the cantilever dynamics of a Transverse Dynamic Force Microscope (TDFM). The oscillated cantilever in proximity to a specimen permits the investigation of the specimen topography at nano-metre precision. The oscillation amplitude, but also in particular the shear forces, are a measure of distance to the specimen, and therefore the estimation of the shear force is of significance when attempting to construct TDFM images at submolecular accuracy. For estimation of the shear forces, an approximate model of the cantilever is derived using the method of lines. Model order reduction and sliding mode techniques are employed to reconstruct the unknown shear force affecting the cantilever dynamics based on only tip position measurements. Simulations are presented to illustrate the proposed scheme, which is to be implemented on the TDFM set up at the Centre for NSQI at Bristol.

AB - This paper concerns the application of a sliding mode observer to the problem of estimation of the shear force affecting the cantilever dynamics of a Transverse Dynamic Force Microscope (TDFM). The oscillated cantilever in proximity to a specimen permits the investigation of the specimen topography at nano-metre precision. The oscillation amplitude, but also in particular the shear forces, are a measure of distance to the specimen, and therefore the estimation of the shear force is of significance when attempting to construct TDFM images at submolecular accuracy. For estimation of the shear forces, an approximate model of the cantilever is derived using the method of lines. Model order reduction and sliding mode techniques are employed to reconstruct the unknown shear force affecting the cantilever dynamics based on only tip position measurements. Simulations are presented to illustrate the proposed scheme, which is to be implemented on the TDFM set up at the Centre for NSQI at Bristol.

U2 - 10.1109/ACC.2013.6580697

DO - 10.1109/ACC.2013.6580697

M3 - Other contribution

SN - 9781479901777

PB - IEEE

ER -

Estimation of the Shear Force in Transverse Dynamic Force Microscopy Using a Sliding Mode Observer

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