Analysis of an electrostatically actuated micro-plate subject to proportional-derivative controllers

This paper deals with the analysis of stability and dynamics of simply supported micro-plate, actuated by suddenly applied electrostatic forces on both sides and subjected to proportional-derivative control. The Galerkin decomposition is used to obtain the modal equation of the system. Using both a...

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Bibliographic Details
Published in:Journal of vibration and control 2018-05, Vol.24 (10), p.2020-2029
Main Authors: Nwagoum Tuwa, PR, Woafo, P
Format: Article
Language:English
Subjects:
Continuous time systems
Control charts
Control stability
Dynamic stability
Electric potential
Galerkin method
Hopf bifurcation
Proportional derivative
Stability analysis
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Summary:This paper deals with the analysis of stability and dynamics of simply supported micro-plate, actuated by suddenly applied electrostatic forces on both sides and subjected to proportional-derivative control. The Galerkin decomposition is used to obtain the modal equation of the system. Using both a continuous time approach with delay and discrete time approach, the stability analysis is presented in order to obtain the stability boundary and stability charts in the parameter space of control gains. The bifurcation diagram and time series are used to confirm the existence of the Hopf bifurcation and to analyse the pull-in instability. By applying the proportional derivative control to the system under study, the vibrations are controlled and it is found that the control voltage generated digitally is more effective compared to the voltage generated continuously.
ISSN:1077-5463
1741-2986
DOI:10.1177/1077546316674609