Control of a Piezoelectric Nano-Actuator based on Flexoelectric Size-Dependent Theory

Document Type : Research Article

Authors

1 Department of Mechanical Engineering, Faculty of Engineering, Shahrekord University , Shahrekord, Iran.

2 Department of Mechanical Engineering, Faculty of Engineering, Shahrekord University

3 Department of Mechanical Engineering, Faculty of Engineering, Shahrekord University , Shahrekord, Iran

Abstract

In this paper, for the first time feedback control algorithms and fuzzy control are implemented for tip tracking control of a piezoelectric size-dependent cantilever nanobeam as a nanoactuator to a desired path. The governing partial differential equation of motion is obtained based on a size-dependent high-order flexoelectric theory. The equations of motion for an isotropic piezoelectric Euler-Bernoulli nanobeam are derived based on the von-Karman geometric nonlinearity besides employing the Hamilton’s principle and variational approach. In order to reduce the governing partial differential equations into a set of ordinary differential equations the Galerkin projection method is implemented. By introducing a new set of variables, the state space model of nanobeam is derived. The state feedback, integral state feedback and fuzzy control algorithms are employed to achieve a desired output for tip tracking. Regarding to the findings of this paper, it can be concluded that the fuzzy controller, integral state feedback and state feedback controller have the best performance in that order.

Keywords

Main Subjects

References

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Amirkabir Journal of Mechanical Engineering
Volume 52, Issue 1
April 2020
Pages 109-126

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