Tuning constants fora PI controller for the following feedba

Tuning constants fora PI controller for the following feedback process are to be determined. G_sys(s) = G_p(s)G_v(s)G_s(s) = 7.5e^-2.3s/8.5s + 1 G_D(s) = 100/5s + 1 A colleague has calculated several sets of values for the controller gain and integral time. Determine which of these sets of constants, if any: are acceptable and explain why or why not.

Solution

With the help of below understanding you can select the better constant values, first we can just analyze the PI controller algorithm, so that we able to solve the problem easily.

PI Algorithm
while different vendors cast what is essentially the same algorithm in different forms, here we explore what is variously described as the dependent, ideal, continuous, position form:

Where:
CO = controller output signal (the wire out)
CO_bias = controller bias or null value; set by bump less transfer as explained below
e(t) = current controller error, defined as SP – PV
SP = set point
PV = measured process variable (the wire in)
Kc = controller gain, a tuning parameter
Ti = reset time, a tuning parameter

The first two terms to the right of the equal sign are identical to the P-Only controller referenced at the top of this article.

The integral mode of the controller is the last term of the equation. Its function is to integrate or continually sum the controller error, e(t), over time.

Some things we should know about the reset time tuning parameter, Ti: