Vibration control and stability analysis of a nanobeam with boundary prescribed performance

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 pr...

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Bibliographic Details
Published inInternational journal of control Vol. 94; no. 4; pp. 1033 - 1042
Main Authors Yue, Xinling, He, Wei, Meng, Tingting, Song, Yuhua
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.04.2021
Taylor & Francis Ltd
Subjects
Adaptive control
Boundary conditions
boundary control
Control stability
Hamilton's principle
Lyapunov function
Nanobeam
output constraints
Stability analysis
vibration
Vibration analysis
Vibration control
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Summary: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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content type line 14
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2019.1629026