5 Citations (Scopus)

Abstract

For a microelectromechanical (MEM) resonator, the combination of mechanical nonlinearity and electrical driving force can lead to bistability. In such a case, the system exhibits two coexisting stable oscillatory states (attractors): one with low and another with high energy. Under the influence of noise, with high probability the system can be perturbed into the low-energy state. We propose a robust control scheme to place the system in the high-energy state. Our idea is not to pull the system out of the bistable regime but instead to take advantage of the nonlinear dynamics to achieve high-energy output. In particular, our control scheme consists of two steps: bifurcation control that temporarily drives the system to a regime with only one attractor, one that is the continuation of the high-energy attractor in the bistable regime; and ramping parameter control that restores the bistability while maintaining the system in the high-energy attractor. We derive an analytic theory to guide the control, provide numerical examples, and suggest a practical method to realize the control experimentally. Our result may find potential usage in devices based on MEM resonators where high output energy is desired.

Original languageEnglish (US)
Article number013103
JournalChaos
Volume18
Issue number1
DOIs
StatePublished - 2008

Fingerprint

Bistability
Resonator
Resonators
resonators
High Energy
Attractor
Electron energy levels
energy
Bifurcation Control
Robust control
numerical control
Output
Driving Force
Robust Control
Energy
output
Control Parameter
Nonlinear Dynamics
Continuation
Nonlinearity

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Controlling bistability in microelectromechanical resonators. / Chen, Qingfei; Huang, Liang; Lai, Ying-Cheng.

In: Chaos, Vol. 18, No. 1, 013103, 2008.

Research output: Contribution to journalArticle

Chen, Qingfei ; Huang, Liang ; Lai, Ying-Cheng. / Controlling bistability in microelectromechanical resonators. In: Chaos. 2008 ; Vol. 18, No. 1.
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