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Adaptive Self-Organizing Fuzzy Sliding Mode Controller for a Non-Local Strain Gradient Nanobeam

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Adaptive Self-Organizing Fuzzy Sliding Mode Controller for a Non-Local Strain Gradient Nanobeam. / Rajaeia, Arman ; Chizfahm, Amir; Vatankhah, Ramin; Montazeri, Allahyar.

In: European Journal of Control, 11.03.2022.

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Rajaeia, Arman ; Chizfahm, Amir ; Vatankhah, Ramin ; Montazeri, Allahyar. / Adaptive Self-Organizing Fuzzy Sliding Mode Controller for a Non-Local Strain Gradient Nanobeam. In: European Journal of Control. 2022.

Bibtex

@article{2e7f69c2bde44f28adb58f4c1876c0ce,
title = "Adaptive Self-Organizing Fuzzy Sliding Mode Controller for a Non-Local Strain Gradient Nanobeam",
abstract = "In this investigation, an adaptive self-organizing fuzzy sliding mode controller (ASFSC) has been developed for vibration control of an Euler-Bernoulli nanobeam with immoveable ends, imposed by an external centralized force. Considering mid-plane stretching effect, governing ordinary differential equation (ODE) of the considered nanobeam is derived based on non-local strain gradient theory and using Galerkin projection. In order to overcome the problem of choosing inappropriate parameters in self-organizing part, a self-organizing fuzzy sliding mode controller is constructed to modify the parameters. Another fuzzy controller is designed and has the role of imposing controller output to regulate the system response. Sliding surface and its changes are determined as controller signal inputs for obtaining better performance. An adaptive law is used to validate the stability and improve the performance of the system by modifying fuzzy controller coefficients, as well as reducing chattering phenomena and overcome the issues of dead-zone. Furthermore, Lyapunov stability proof is presented and the numerical simulations are the showcase of the high performance of the proposed controller.",
keywords = "adaptive sliding-mode, nanobeam, mid-plane stretching, self-organizing fuzzy controller",
author = "Arman Rajaeia and Amir Chizfahm and Ramin Vatankhah and Allahyar Montazeri",
year = "2022",
month = mar,
day = "11",
doi = "10.1016/j.ejcon.2022.100626",
language = "English",
journal = "European Journal of Control",
issn = "0947-3580",
publisher = "Lavoisier",

}

RIS

TY - JOUR

T1 - Adaptive Self-Organizing Fuzzy Sliding Mode Controller for a Non-Local Strain Gradient Nanobeam

AU - Rajaeia, Arman

AU - Chizfahm, Amir

AU - Vatankhah, Ramin

AU - Montazeri, Allahyar

PY - 2022/3/11

Y1 - 2022/3/11

N2 - In this investigation, an adaptive self-organizing fuzzy sliding mode controller (ASFSC) has been developed for vibration control of an Euler-Bernoulli nanobeam with immoveable ends, imposed by an external centralized force. Considering mid-plane stretching effect, governing ordinary differential equation (ODE) of the considered nanobeam is derived based on non-local strain gradient theory and using Galerkin projection. In order to overcome the problem of choosing inappropriate parameters in self-organizing part, a self-organizing fuzzy sliding mode controller is constructed to modify the parameters. Another fuzzy controller is designed and has the role of imposing controller output to regulate the system response. Sliding surface and its changes are determined as controller signal inputs for obtaining better performance. An adaptive law is used to validate the stability and improve the performance of the system by modifying fuzzy controller coefficients, as well as reducing chattering phenomena and overcome the issues of dead-zone. Furthermore, Lyapunov stability proof is presented and the numerical simulations are the showcase of the high performance of the proposed controller.

AB - In this investigation, an adaptive self-organizing fuzzy sliding mode controller (ASFSC) has been developed for vibration control of an Euler-Bernoulli nanobeam with immoveable ends, imposed by an external centralized force. Considering mid-plane stretching effect, governing ordinary differential equation (ODE) of the considered nanobeam is derived based on non-local strain gradient theory and using Galerkin projection. In order to overcome the problem of choosing inappropriate parameters in self-organizing part, a self-organizing fuzzy sliding mode controller is constructed to modify the parameters. Another fuzzy controller is designed and has the role of imposing controller output to regulate the system response. Sliding surface and its changes are determined as controller signal inputs for obtaining better performance. An adaptive law is used to validate the stability and improve the performance of the system by modifying fuzzy controller coefficients, as well as reducing chattering phenomena and overcome the issues of dead-zone. Furthermore, Lyapunov stability proof is presented and the numerical simulations are the showcase of the high performance of the proposed controller.

KW - adaptive sliding-mode

KW - nanobeam

KW - mid-plane stretching

KW - self-organizing fuzzy controller

U2 - 10.1016/j.ejcon.2022.100626

DO - 10.1016/j.ejcon.2022.100626

M3 - Journal article

JO - European Journal of Control

JF - European Journal of Control

SN - 0947-3580

M1 - 100626

ER -