This paper describes the development of a mathematical model of a different
ial pressure cell and its application in MATLAB. The model is also examined
in SIMULINK, for the purposes of comparison of the model with the real wor
ld. Furthermore, we also describe the application of a system identificatio
n method using a multifrequency binary test signal, for comparison with the
mathematical model. The method is applied to a pneumatic differential pres
sure cell. The exploration of the mathematical model shows that while the m
ajority of the subsystems are nonlinear, they can adequately be approximate
d by Taylor polynomials. This facilitates the modeling of the subsystem ele
ments as linear agents. The identification results show that the cell, comp
osed of three main components-the diaphragm, pilot relay flapper/nozzle, an
d the feedback bellows-has an overall first-order linear response.