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Compensation of harmonic disturbances in piezoelastic structures

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  • Thomas Rittenschober

Abstract

The use of self-sensing piezoelectric actuators in smart structures means collocation of actuator and sensor. The measured electric current carries contributions from an electrical and mechanical subsystem. The latter contribution is due to the direct piezoelectric effect that is used for the purpose of vibration control. This procedure requires the robust separation of the electric current due to the direct piezoelectric effect from the measured electric current. Due to the unfavourable ratio of these two signals, the design of an observer for the electric current due to the direct piezoelectric effect is proposed. The control design for the purpose of harmonic disturbance suppression is based on an internal model approach and is facilitated by the special structure of the underlying mathematical model. Stability issues with respect to the distributed parameter system are resolved by applying the concepts of passivity and stability in conjunction with the small gain theorem. The control concept is evaluated by exciting the piezoelastic structure under investigation at a dominant eigenfrequency.

Suggested Citation

  • Thomas Rittenschober, 2010. "Compensation of harmonic disturbances in piezoelastic structures," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 17(1), pages 31-48, April.
    • Handle: RePEc:taf:nmcmxx:v:17:y:2010:i:1:p:31-48
    DOI: 10.1080/13873954.2010.537514
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