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Controlling bistability in microelectromechanical resonators.

Qingfei Chen1, Liang Huang, Ying-Cheng Lai

  • 1Department of Electrical Engineering, Arizona State University, Tempe, Arizona 85287, USA.

Chaos (Woodbury, N.Y.)
|April 2, 2008
PubMed
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Researchers developed a control scheme for microelectromechanical (MEM) resonators to achieve high-energy output. This method leverages nonlinear dynamics to maintain the high-energy state in bistable systems, avoiding the low-energy state induced by noise.

Area of Science:

  • Physics
  • Engineering
  • Nonlinear Dynamics

Background:

  • Microelectromechanical (MEM) resonators can exhibit bistability due to mechanical nonlinearity and electrical driving forces.
  • Bistable systems possess two stable oscillatory states: a low-energy and a high-energy attractor.
  • External noise often perturbs bistable systems into the undesirable low-energy state.

Purpose of the Study:

  • To propose a robust control scheme for directing microelectromechanical resonators to their high-energy state.
  • To utilize the inherent nonlinear dynamics of the system for enhanced energy output.
  • To maintain the high-energy state without exiting the bistable regime.

Main Methods:

  • A two-step control strategy involving bifurcation control and ramping parameter control.

Related Experiment Videos

  • Bifurcation control temporarily shifts the system to a single-attractor regime, favoring the high-energy state.
  • Ramping parameter control restores bistability while preserving the system's presence in the high-energy attractor.

    • Main Results:

    • The proposed control scheme effectively places and maintains MEM resonators in the high-energy state.
    • An analytic theory was developed to guide the control process.
    • Numerical simulations validated the control strategy, and a practical experimental realization was suggested.

    Conclusions:

    • The developed control method offers a robust way to access and utilize the high-energy state in bistable MEM resonators.
    • This technique leverages nonlinear dynamics, providing a novel approach to energy management in MEM devices.
    • Potential applications exist in MEM resonator-based devices requiring significant output energy.