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Resonance, bifurcation and chaos control in electrostatic transducers with two external periodic forces

Author

Listed:
  • Moukam Kakmeni, F.M.
  • Bowong, S.
  • Tchawoua, C.
  • Kaptouom, E.

Abstract

This paper studies the dynamics of the electrostatic transducers described by two nonlinearly coupled differential equations of motion submitted to two external periodic forces. The method of multiple scales is used to find solutions in the resonant and nonresonant cases. Chaotic behavior is found in terms of the amplitude of the second external force. A feedback controller is applied to drive the chaotic states of the system to an appropriately defined reference signal in spite of modelling errors, parametric variations and perturbing external forces. Computer simulations are provided to illustrate the operation of the designed control scheme.

Suggested Citation

  • Moukam Kakmeni, F.M. & Bowong, S. & Tchawoua, C. & Kaptouom, E., 2004. "Resonance, bifurcation and chaos control in electrostatic transducers with two external periodic forces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 87-105.
    • Handle: RePEc:eee:phsmap:v:333:y:2004:i:c:p:87-105
    DOI: 10.1016/j.physa.2003.10.056
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    Cited by:

    1. Siewe, M. Siewe & Kakmeni, F.M. Moukam & Bowong, S. & Tchawoua, C., 2006. "Non-linear response of a self-sustained electromechanical seismographs to fifth resonance excitations and chaos control," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 431-445.

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