Cantilever Dynamics Modelling for the Transverse Dynamic Force Microscope

被引：0

作者：

Thang Nguyen ^{[3
]}

Edwards, Christopher ^{[3
]}

Herrmann, Guido ^{[1
]}

Hatano, Toshiaka ^{[1
]}

Burgess, Stuart C. ^{[1
]}

Miles, Mervyn ^{[2
]}

机构：

[1] Univ Bristol, Dept Mech Engn, Bristol BS8 1TR, Avon, England

[2] Univ Bristol, Ctr Nanosci & Quantum Informat, Bristol BS8 1FD, Avon, England

[3] Univ Exeter, Coll Engn Math & Phys Sci, Exeter EX4 4QF, Devon, England

来源：

2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2014年

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：1318 / 1323

页数：6

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