A new phenomenological model for frequency dependent hysteresis of bimorph piezoelectric actuator: multi model estimation approach via particle filter

The present paper proposes a multiple model estimator for a bimorph piezoelectric actuator that exhibits strong frequency dependent response. We utilized a particle filter framework to accommodate the models included in the estimator. We used the Bouc-Wen phenomenological model of hysteresis and its extension we previously proposed as the models in our estimator. These models were the representatives of the possible modal behaviors of the actuator. The state variables were introduced to the Bouc-Wen models, and the hysteresis characteristics were captured in the state space. We also proposed an algorithm to calculate point estimate in the particle filter that utilizes the likelihood evaluation. Several numerical simulation have been conducted to show that the proposed estimator can be used under the scenario in which the actuator exhibits a multimodal behavior in response to the driving input signal with time-varying frequency characteris-tics.