Designing nonlinear observer for topography estimation in trolling mode atomic force microscopy

Sajjadi, Mohammadreza; Chahari, Mahmood; Pishkenari, Hossein Nejat; Vossoughi, Gholamreza

doi:10.1177/10775463211038140

Cited by 11 publications

(12 citation statements)

References 33 publications

(44 reference statements)

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“…where 𝛼 ≥ 0 is called the Lagrange coefficient. Considering the Lagrange function, the form with the inequality condition of the quadratic problem (13) becomes the unconditioned form of the (15), which is called the initial Lagrange function.…”

Section: ‫)𝛼و𝑥(𝐿‬ = 𝑓(𝑥) + 𝛼𝑔(𝑥)mentioning

confidence: 99%

“…This classifier is actually a binary digital classifier [12]- [14], which has the ability to classify samples of multiple classes. It is also used to solve linear and non-linear problems [15]. The working basis of the SVM classifier is the linear classification of data, and in the linear division of the data, we try to choose a line that has a higher confidence margin.…”

Section: Introductionmentioning

confidence: 99%

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Improving the Recognition Percentage of the Identity Check System by Applying the SVM Method on the Face Image Using Special Faces

Mousavi

Sadeghi

Ghahfarokhi

et al. 2023

IJRCS

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Face recognition has attracted tremendous attention during the last three decades because it is considered a simple pattern recognition and image analysis method. Also, many facial recognition patterns have been introduced and used over the years. The SVM algorithm has been one of the successful models in this field. In this article, we have introduced the special faces first. In the following, we have fully explained the SVM method and its subsets, including linear and non-linear support vector machines. Suggestions for improving the recognition percentage of a person's identity check system by applying the SVM method on the face image using special faces are presented. For this test, 10 face images of 40 people (400 face images in total) have been selected from the ORL database. In this way, by choosing the optimal parameter C, determining the most suitable training samples, comparing more accurately with training images and using the distance with the closest training sample instead of the average distance, the proposed method has been implemented and tested on the famous ORL database. The obtained results are FAR=0.23% and FRR=0.48%, which shows the very high accuracy of the operation following the application of the above suggestions.

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Section: ‫)𝛼و𝑥(𝐿‬ = 𝑓(𝑥) + 𝛼𝑔(𝑥)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Improving the Recognition Percentage of the Identity Check System by Applying the SVM Method on the Face Image Using Special Faces

Mousavi

Sadeghi

Ghahfarokhi

et al. 2023

IJRCS

View full text Add to dashboard Cite

show abstract

“…In this article, an analysis was performed on the convection of a Newtonian fluid flow between two asymmetric parallel surfaces in a porous medium. Mondal [17] researched irreversibility minimization in a viscoelastic liquid flow [18–49]. The viscoelastic parameters, the Peclet number, and the temperature gradient were studied in this paper.…”

Section: Introductionmentioning

confidence: 99%

Hybrid surveying of radiation and magnetic impacts on Maxwell fluid with MWCNT nanotube influence of two wire loops

et al. 2022

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In this paper, the effects of Maxwell nanoliquid transmission with MWCNT nanotube are investigated over two circular wires with opposite currents and a stretching sheet. The innovation of this paper is the examination of MWCNT nanotube temperature and nanofluid velocity and also magnetic potential and magnetic effect in the three different places of two circular wires on the sheet. The finite element method is utilized for calculating differential equations. By increasing the distance from two wires on the stretching sheet, the amount of MWCNT nanotube temperature increased, and a large vortex forms at the bottom of the sheet. Overall, the MWCNT nanotube velocity around the two circular wires at the beginning of the sheet is 46.09% higher than the middle of the sheet and 20% higher than the end of the sheet, also the MWCNT nanotube magnetic potential around the two circular wires at the beginning of the sheet is 13.40% higher than the middle of the sheet and 23% higher than the end of the sheet. The second part of the essay relates to the using response surface methodology (RSM) method in the Design‐Expert software. Based on the results obtained from the MWCNT nanotube velocity graphs and the heat transfer cantors, and magnetism effects in the Design‐Expert software, the best optimization occurred for u = 0.07, T = 1.15, and H = 4.531.

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“…Atomic force microscopy (AFM) is a device used to study materials’ properties and surface structure in micro- and nanometer dimensions [ 1 , 2 , 3 ]. Flexibility, multiple potential signals, and the ability to operate the device in different modes have enabled researchers to study AFMs at different levels and under different environmental conditions.…”

Section: Introductionmentioning

confidence: 99%

Hyperelastic Microcantilever AFM: Efficient Detection Mechanism Based on Principal Parametric Resonance

et al. 2022

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The impetus of writing this paper is to propose an efficient detection mechanism to scan the surface profile of a micro-sample using cantilever-based atomic force microscopy (AFM), operating in non-contact mode. In order to implement this scheme, the principal parametric resonance characteristics of the resonator are employed, benefiting from the bifurcation-based sensing mechanism. It is assumed that the microcantilever is made from a hyperelastic material, providing large deformation under small excitation amplitude. A nonlinear strain energy function is proposed to capture the elastic energy stored in the flexible component of the device. The tip–sample interaction is modeled based on the van der Waals non-contact force. The nonlinear equation governing the AFM’s dynamics is established using the extended Hamilton’s principle, obeying the Euler–Bernoulli beam theory. As a result, the vibration behavior of the system is introduced by a nonlinear equation having a time-dependent boundary condition. To capture the steady-state numerical response of the system, a developed Galerkin method is utilized to discretize the partial differential equation to a set of nonlinear ordinary differential equations (ODE) that are solved by the combination of shooting and arc-length continuation method. The output reveals that while the resonator is set to be operating near twice the fundamental natural frequency, the response amplitude undergoes a significant drop to the trivial stable branch as the sample’s profile experiences depression in the order of the picometer. According to the performed sensitivity analysis, the proposed working principle based on principal parametric resonance is recommended to design AFMs with ultra-high detection resolution for surface profile scanning.

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Designing nonlinear observer for topography estimation in trolling mode atomic force microscopy

Cited by 11 publications

References 33 publications

Improving the Recognition Percentage of the Identity Check System by Applying the SVM Method on the Face Image Using Special Faces

Improving the Recognition Percentage of the Identity Check System by Applying the SVM Method on the Face Image Using Special Faces

Hybrid surveying of radiation and magnetic impacts on Maxwell fluid with MWCNT nanotube influence of two wire loops

Hyperelastic Microcantilever AFM: Efficient Detection Mechanism Based on Principal Parametric Resonance

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