An analysis of the discontinuity in the modeling of sinusoidal excitation for piezoelectric actuator based micro-positioning system for surface grinding control

摘要

A set of polynomial pairs were used in the modeling of sinusoidal excitation for piezoelectric actuator based micro-positioning system for surface grinding control. The system response was found to have discontinuities which have not been found in the studies using the commonly used step command signals. To examine the problem to further reduce modeling errors, several approaches of modeling to deal with the hysteresis behavior were studied including the use of single, dual, and multiple polynomials. It was found that the use of multiple polynomials with the first order continuity gives the best results in terms of average connection error and modeling error. The discontinuity in the system response was due to the discontinuity in the piezoelectric coefficient.