Simple and efficient inverse hysteretic model and associated experimental procedure for precise piezoelectric actuator control and positioning

This paper exposes inversion techniques of a simple yet efficient system-level approach for modeling quasi-static hysteretic behavior of piezoelectric actuators, allowing the transducer voltage to be properly shaped to get the desired target strain response. The inversion principles lie in considering a coefficient relating the voltage derivative to the target strain derivative through a simple formulation using a function of the input strain, combined with equivalent strain cancellation and inversion when the desired target strain derivative crosses zero value. Conceptual and theoretical developments are validated through experimental measurements that show good control capabilities of the quasi-static strain. Hence, the proposed concept provides a lightweight yet efficient approach for embedded control systems.