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Chaotic dynamic and control for micro-electro-mechanical systems of massive storage with harmonic base excitation

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  • Polo, Manuel F. Pérez
  • Molina, Manuel Pérez
  • Chica, Javier Gil

Abstract

This paper explores chaotic behaviour and control of micro-electro-mechanical systems (MEMS), which consist of thousands of small read/write probe tips that access gigabytes of data stored in a non-volatile magnetic surface. The model of the system is formed by two masses connected by a nonlinear spring and a viscous damping. The paper shows that, by means of an adequate feedback law, the masses can behave as two coupled Duffing’s oscillators, which may reach chaotic behaviour when harmonic forces are applied. The chaotic motion is destroyed by applying the following control strategies: (i) static output feedback control law with constant forces and (ii) geometric nonlinear control. The aim is to drive the masses to a set point even with harmonic base excitation, by using chaotic dynamics and nonlinear control. The paper shows that it is possible to obtain a positioning time around a few ms with sub-nanometre accuracy, velocities, accelerations and forces, as it appears in the design of present MEMS devices. Numerical simulations are used to verify the mathematical discussions.

Suggested Citation

  • Polo, Manuel F. Pérez & Molina, Manuel Pérez & Chica, Javier Gil, 2009. "Chaotic dynamic and control for micro-electro-mechanical systems of massive storage with harmonic base excitation," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1356-1370.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:3:p:1356-1370
    DOI: 10.1016/j.chaos.2007.06.010
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    References listed on IDEAS

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    1. El Naschie, M. Saladin, 2006. "Nanotechnology for the developing world," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 769-773.
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    Cited by:

    1. Alneamy, Ayman M., 2024. "Dynamic snap-through motion and chaotic attractor of electrostatic shallow arch micro-beams," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Nana, B. & Yamgoué, S.B. & Tchitnga, R. & Woafo, P., 2017. "Dynamics of a pendulum driven by a DC motor and magnetically controlled," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 18-27.

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