Predictive model on the effect of restrictor on transfer function parameters on pneumatic control system

Chukwuemeka Peter Ukpaka

Abstract

Mathematical model was developed to monitor and predict the influence of restrictor or the characteristics of the functional parameters of the transfer function for pneumatic control system. The force acting from bellow is directly proportional to the effective cross-sectional area of the base which yielded extension of the bellow in both horizontal and vertical as well as its extension rate is dependent on the influence of the restrictor. The pneumatic controller represents the main force control operator in many industrial applications, where it’s static and dynamic characteristics play an important role in the overall behavior of the control system, the total differential expression obtained in terms of restrictor pressure change per unit change in time was presented. The general solution equation established was resolved using the mathematical concept of laplace transformation as well as application of partial fraction which yields, PR(t) =  
t c
p ce
/
1 2

 
The effect of the restrictor on the characteristics of the pressure was monitored, predicted and simulated using the MATLAB program approach. Result obtained reveals increase in restrictor pressure with increase in time. Restrictor pressure
is influence by the capacitance, input pressure of bellow characteristics as well as other functional parameters.