Hysteresis compensation of smart actuators under variable stress conditions

Identification and experimental assessment of two-input Preisach model for coupling hysteresis in piezoelectric stack actuators

“…Even so, the TPM still provides much better accuracy than the CPM under conditions of a high-speed excitation voltage and a dynamic load. Several coupling hysteresis models, based on the Preisach model [21][22][23][24] and PI model [26], have the same limitations as the TPM. So the alternative to the TPM would be a dynamic model [25], assuming that it is feasible to describe the piezoelectric coupling hysteresis.…”

“…Various mathematical models to describe coupling hysteresis behavior in magnetostrictive actuators for varying mechanical loads have been devised [6,[21][22][23][24][25][26], and general forms of coupling hysteresis models based on the CPM are given in [6,21]. Suzuki [22] developed a stress-dependent model based on the moving Preisach model [6], while Davino [23] presented a stress-dependent magnetostriction phenomenological model by employing the CPM and a memory less bivariate function.…”

“…Suzuki [22] developed a stress-dependent model based on the moving Preisach model [6], while Davino [23] presented a stress-dependent magnetostriction phenomenological model by employing the CPM and a memory less bivariate function. Cavallob [24] proposed a model to characterize magnetostriction hysteresis for a slow-speed applied mechanical load that adopted a similar structure to the CPM. A generalized Preisach operator was developed [25] to estimate the dynamic coupling hysteresis under varying load and excitation frequencies.…”

Modeling, Compensation and Control of Smart Devices with Hysteresis

“…15-(b) it is shown the system response, compared to the time behavior of the measured strain. Here the performances of the model described so far are compared to those of a model proposed in [10], where the dependence of memory on the stress is not taken into account.…”

“…To this aim the multi-variable hysteresis modeling described in the section above could be an interesting starting point to define suitable multi-variable compensation and control strategies. A first attempt to tackle such a quite demanding problem was settled in [10], where a simple generalization of the Preisach model, taking into account the presence of a second variable (i.e. the stress) in the distribution function was stated and discussed.…”