The present article explains a new model for the mathematica1 description of systems with hystereticand creep transmission behaviour The basis of the hysteresis modelling is the Preisach model, whichallows a very exact simulation of the complex hysteresis behaviour by weighted superposition ofelementary switching hysteresis operators. The derivation of the creep model refers back toKortendieck, who describes, analogous to the Preisach model, the non-linear creep behaviour by thesuperposition of elementary creep operators, which result from the combination of' an elementaryswitching hysteresis operator with a linear time-invariant state-space model to describe the creepdynamic. An overall model, which is composed by' the hysteresis and the creep model, in this caseserves as a predictor within the hysteresis and creep-free real-time compensation control forpiezoelectric solid-state transducers. The model is verified by means of the measuring of theelectromechanical transmission behaviour of a high and a low-voltage stack transducer
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