Preventing Chaotic Motion in Tapping-Mode Atomic Force Microscope

被引：13
|
作者：
Rodrigues K.S. [1 ]
Balthazar J.M. [2 ]
Tusset A.M. [3 ]
de Pontes B.R. [4 ]
Jr. [4 ]
Bueno Á.M. [5 ]
机构：
[1] Departamento de Engenharia Mecânica, Escola de Engenharia de São Carlos - EESC, Universidade de São Paulo - USP, São Paulo
[2] Departamento de Estatística, Matemática Aplicada e Computação - DEMAC, Universidade Estadual Paulista - UNESP, São Paulo
[3] Departamento Academico de Engenharia Eletrônica - DAELE, Campus de Ponta Grossa, Universidade Tecnológica Federal do Paraná - UTFPR, Ponta Grossa
[4] Departamento de Engenharia Mecânica, Faculdade de Engenharia de Bauru - FEB, Universidade Estadual Paulista - UNESP, São Paulo
[5] Departamento de Engenharia de Controle e Automação - ECA, Campus de Sorocaba, Universidade Estadual Paulista - UNESP, Sorocaba
来源：
Bueno, Átila Madureira | 1600年 / Springer Science and Business Media, LLC卷 / 25期
基金：
巴西圣保罗研究基金会;
关键词：
Atomic Force Microscopy; Chaos; Nonlinear control systems; State Dependent Ricatti Equation; Time-Delayed Feedback;
D O I：
10.1007/s40313-014-0144-4
中图分类号：
学科分类号：
摘要：
During the last 30 years the Atomic Force Microscopy became the most powerful tool for surface probing in atomic scale. The Tapping-Mode Atomic Force Microscope is used to generate high quality accurate images of the samples surface. However, in this mode of operation the microcantilever frequently presents chaotic motion due to the nonlinear characteristics of the tip-sample forces interactions, degrading the image quality. This kind of irregular motion must be avoided by the control system. In this work, the tip-sample interaction is modelled considering the Lennard-Jones potentials and the two-term Galerkin aproximation. Additionally, the State Dependent Ricatti Equation and Time-Delayed Feedback Control techniques are used in order to force the Tapping-Mode Atomic Force Microscope system motion to a periodic orbit, preventing the microcantilever chaotic motion. © 2014, Brazilian Society for Automatics--SBA.
引用
收藏
页码：732 / 740
页数：8
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