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

Research output: Contribution to Journal/MagazineJournal articlepeer-review

E-pub ahead of print
Article number100626
<mark>Journal publication date</mark>11/03/2022
<mark>Journal</mark>European Journal of Control
Publication StatusE-pub ahead of print
Early online date11/03/22
<mark>Original language</mark>English


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.