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Investigation into the Ramp Input Response for Transfer Function of Pneumatic Proportional Controller

Chukwuemeke. P Ukpaka

Abstract


A mathematical model was developed to monitor, predict and simulate the ramp input response for pneumatic proportional control systems. The influence of the restrictor and the characteristic of the functional parameters of the transfer function for pneumatic control system were monitored. 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 is 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. The general solution equation established was resolved using the mathematical concept of Laplace transformation as well as application of partial fraction. The effect of the restrictor and the ramp input response on the characteristics of the pressures 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.

Key words: Investigation, ramp inputs response, transfer function, pneumatic, proportional controller

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References


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