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Compensating nonlinearities in high-speed atomic force microscopy using data-driven feedforward controller design

delete2025-10-28
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PRE
AI
N
Navid Asmari
V
Veronika Cencen
M
Mustafa Kangül
S
Santiago H. Andany
C
Cem Tekin
M
Maartje M. C. Bastings
A
Alireza Karimi
G
Georg E. Fantner *
DOI:10.1007/s12213-025-00194-3delete
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Abstract

Abstract

En 中文
Piezoelectric actuators are widely used in nano-positioning stage of atomic force microscopes (AFM). The nonlinear dynamics of these actuators adversely affect the AFM image quality unless they are compensated with a controller. We propose a feedforward controller design method which adjusts the scan waveforms with the aim of minimizing the hysteresis distortions in the lateral direction of motion. The data-driven design approach requires a pair of forward and backward stripes of images of the sample to detect the hysteresis mappings through solving a nonlinear optimization problem with a genetic algorithm. The parameters of the optimization are then used to shape the scan waveforms to compensate for the effects of hysteresis. The quick and straightforward design makes the proposed feedforward controller a good solution for lateral scanners in high-speed AFM where implementation of feedback control is often hindered by the physical constraints and latency of the system. We show that the design procedure can be successfully applied on AFM instruments regardless of the imaging mode, scan speed, or the sample under study.
Keywords:
Data-driven controller design
Feedforward controller
Hysteresis compensation
High-speed atomic force microscopy
Genetic algorithm

Journal

J
JOURNAL OF MICRO AND BIO ROBOTICS
IF:
1.1
Papers:
12
Citations:
0

Organization

E
Ecole Polytechnique Federale de Lausanne
Scholars:
1.7W
Papers: 1.3W
Citations: 25
S
swiss federal institutes of technology domain
Scholars:
9.0W
Papers: 8.0W
Citations: 163
Cited Papers

Cited Papers

Chaperonins GroEL and GroES: Views from atomic force microscopy
err1996-10-01
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errOAAI
errMou, JX; Sheng, ST; Ho, RY; Shao, ZF
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Components for high-speed atomic force microscopy optimized for low phase-lag
err2017-07-01
err0
PREAI
errAdrian P Nievergelt; Santiago H Andany; Jonathan D Adams; Melanie TM Hannebelle; Georg E Fantner
errShare
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errShare
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Gwyddion: an open-source software for SPM data analysis
err2011-12-03
err0
errOAAI
errDavid Nečas; Petr Klapetek
errShare
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High-speed photothermal off-resonance atomic force microscopy reveals assembly routes of centriolar scaffold protein SAS-6
err2018-05-21
err90
errOAAI
errNievergelt, Adrian P.; Banterle, Niccolo; Andany, Santiago H.; Gonczy, Pierre; Fantner, Georg E.
errShare
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Modeling and Control of Piezo-Actuated Nanopositioning Stages: A Survey
err2016-01-01
err529
PREAI
errGu, Guo-Ying; Zhu, Li-Min; Su, Chun-Yi; Ding, Han; Fatikow, Sergej
errShare
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Imaging Crystals, Polymers, and Processes in Water with the Atomic Force Microscope
err1989-03-24
err0
PREAI
errB. Drake; C. B. Prater; A. L. Weisenhorn; S. A. C. Gould; T. R. Albrecht; C. F. Quate; D. S. Cannell; H. G. Hansma; P. K. Hansma
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