Print Email Facebook Twitter Fuzzy model-based disturbance rejection control for atomic force microscopy with input constraint Title Fuzzy model-based disturbance rejection control for atomic force microscopy with input constraint Author Mahmoudabadi, Parvin (K.N. Toosi University of Technology) Tavakoli-Kakhki, Mahsan (K.N. Toosi University of Technology) Hassan HosseinNia, S. (TU Delft Mechatronic Systems Design) Date 2022 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. Subject atomic force microscopycontrol input constraintfuzzy Lyapunov functionnon-parallel distributed compensation (non-PDC) controllerT-S fuzzy modeltapping mode To reference this document use: http://resolver.tudelft.nl/uuid:13f5394c-f817-424e-a6e6-a68a04c090e5 DOI https://doi.org/10.1177/10775463211050157 Embargo date 2023-07-01 ISSN 1077-5463 Source Journal of Vibration and Control, 29 (2023) (3-4), 597-610 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. Part of collection Institutional Repository Document type journal article Rights © 2022 Parvin Mahmoudabadi, Mahsan Tavakoli-Kakhki, S. Hassan HosseinNia Files PDF 10775463211050157.pdf 2.02 MB Close viewer /islandora/object/uuid:13f5394c-f817-424e-a6e6-a68a04c090e5/datastream/OBJ/view