Question: The transfer function of a process Gp(s)=4/(s^2+3s+2) is given as in the equation. This process is controlled in a standard feedback control loop by a

The transfer function of a process Gp(s)=4/(s^2+3s+2) is given as in the equation. This process is controlled in a standard feedback control loop by a proportional+differential (PD) controller with a transfer function Gc(s)=2(1+3s). The transfer functions of the control valve and the measuring element can be taken 1.

(a) At the set point of this control cycle, a step increment of 0.5 is created. Obtain the time answer equation and plot it. Find the offset value.

Not: Since the controller does not contain an integral mode, it is inevitable to obtain an offset in the answer.

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