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International Journal of Control Volume 94, 2021 - Issue 4
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Vibration control and stability analysis of a nanobeam with boundary prescribed performance

Xinling Yuea School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, People's Republic of China
,
Wei Heb School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, People's Republic of ChinaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-8944-9861
ORCID Icon,
Tingting Mengc Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences, Beijing, People's Republic of China
&
Yuhua Songb School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, People's Republic of China
Pages 1033-1042 | Received 12 Aug 2018, Accepted 27 May 2019, Published online: 20 Jun 2019
 
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ABSTRACT

In this paper, we present dynamics analysis and vibration control for a nanoscale beam. The nanobeam is modelled based on the modified couple stress theory which incorporates small length scale effects. The governing equation and boundary conditions of the nanobeam are obtained by Hamilton's principle. We design model-based control and adaptive control with output constraints for the control part. Employing a time-varying function to the constraint part, the displacement of the nanobeam can be well limited within a trajectory. By choosing designed parameters appropriately, signals in the nanobeam system converge to a small neighbourhood of zero and the vibration of the nanobeam system is suppressed with prescribed performance. Correspondingly, the simulation results of the proposed control are verified suitable.

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No potential conflict of interest was reported by the authors.

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