Precision machinery performs well thanks to compliant mechanics. The needs of high-resolution and extended-stroke precision equipment can be met by a mechanism that includes a piezo actuator and compliant amplification system. The primary focus of this essay is on the investigation of displacement amplification and hysteresis in a parallel four-bar amplification mechanism utilising a piezo actuator. To allow precise change of the piezo actuator's output displacement, the research first constructs a Preisach interpolation surface based on voltage turning points within the hysteresis curve and the Preisach function. The paper then examines displacement amplification using the ideas of material bending theory. Then, theoretical investigation and finite element modelling (FEM), which demonstrates a linear relationship between the displacement of the guiding beam and the driving point input, support the parallel four-bar mechanism's amplification ratio. The compliant mechanism theory and the Preisach interpolation surface are then used to create a computation model for the compliant amplification mechanism. By utilising the Preisach interpolation surface, experimental findings show that this computation model considerably improves the output displacement accuracy in the amplification mechanism, enabling fine-grained control of arbitrary sequence output displacements.