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Dynamics, stability, and control of multivariable piezoelectric shunts

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3 Author(s)
Moheimani, S.O.R. ; Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, NSW, Australia ; Fleming, Andrew J. ; Behrens, S.

This paper is concerned with the dynamics and stability of piezoelectric laminate structures, where several piezoelectric elements are shunted by a multiinput impedance. The problem is shown to be equivalent to a multivariable feedback control problem for a square plant. A parameterization of stabilizing admittance transfer function matrices is given together with a specific class of controllers capable of reducing structural vibrations and guaranteeing closed-loop stability. An efficient method for implementation of a multiport admittance transfer function is introduced and applied experimentally to demonstrate the effectiveness of the proposed methodology.

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Mechatronics, IEEE/ASME Transactions on  (Volume:9 ,  Issue: 1 )