Dynamical analysis and control of microcantilevers
type: Item
instance of: scholarly article
title: Dynamical analysis and control of microcantilevers
zbMATH Open document ID: 0941.93044
DOI: 10.1016/S0005-1098(99)00077-1
author: M. Ashhab
author: Igor Mezić
author: Murti Salapaka
author: Mohammed Dahleh
published in: Automatica
publication date: 2000-02-17T00:00:00Z
review text: This paper presents a good application of feedback control theory to reducing the possibility of chaos in a dynamic model of the cantilever-sample interaction in atomic force microscopes. Based on a nonlinear model with one degree of freedom, in the first part of the work the authors analyze the forced dynamics using the Melnikov method. In the state-space the chaos depends on the extent of damping and forcing. Then, using some surface diagrams in the space of physical parameters, they select the controller parameters to suppress the possibility of chaos.
Mathematics Subject Classification ID: 93C95
zbMATH DE Number: 1356086
zbMATH Keywords: microcantilevers
zbMATH Keywords: chaos
zbMATH Keywords: atomic force microscopes
zbMATH Keywords: Melnikov method
reviewed by: Sergiu T. Chiriacescu
MaRDI profile type: Publication
full work available at URL: s0005-1098(99)00077-1
OpenAlex ID: W2014357240
description: scientific article; zbMATH DE number 1356086