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

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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of vibration and control 2023-02, Vol.29 (3-4), p.597-610
Main Authors: Mahmoudabadi, Parvin, Tavakoli-Kakhki, Mahsan, HosseinNia, S. Hassan
Format: Article
Language:English
Subjects:
Atomic force microscopy
Control systems design
Controllers
Dynamic models
Fuzzy control
Liapunov functions
Linear matrix inequalities
Microscopy
Rejection
Transient performance
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1077-5463
1741-2986
DOI:10.1177/10775463211050157