Fuzzy model-based disturbance rejection control for atomic force microscopy with input constraint

Parvin Mahmoudabadi, Mahsan Tavakoli-Kakhki*, S. Hassan HosseinNia

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)
27 Downloads (Pure)

Abstract

Accurate representation of the atomic force microscopy (AFM) system is not only necessary to achieve control objectives, but it is also beneficial for detecting the nanomechanical properties of the samples. To this end, this paper addresses the issue of controller design for the AFM system based on an accurate nonaffine nonlinear distributed-parameters model in which flexibility and distributed mass effects of the microcantilever beam are considered properly. First, a T-S fuzzy model is derived for this dynamical model of the AFM system in order to simplify the procedure of controller design. Then, a fuzzy model-based controller is designed to suppress the chaos and attenuate the disturbance in the AFM system through the linear matrix inequality (LMI) formulation. Moreover, by considering some criteria for disturbance rejection and transient performance, and some constraints on control input and states, new stabilization conditions are proposed based on a fuzzy Lyapunov function. Finally, simulation results are represented to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)597-610
Number of pages14
JournalJVC/Journal of Vibration and Control
Volume29 (2023)
Issue number3-4
DOIs
Publication statusPublished - 2022

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

  • atomic force microscopy
  • control input constraint
  • fuzzy Lyapunov function
  • non-parallel distributed compensation (non-PDC) controller
  • T-S fuzzy model
  • tapping mode

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