What is the effect of the controller gain on the output response? What if you changed this value to say, $15$ and $1500$ ; what is the difference between the responses and what might be the explanation for this? Show the scopes $($plots$)$ for each scenario for a set point change of $1C$ at $t=10.$ Keep the disturbance constant.

Repeat the process above for a disturbance of $-1C$ at $t=10.$ Keep the original set point constant.

What happens if the measuring element has a long time constant, say $3\mathrm{.}3$min rather than $0\mathrm{.}33$ min $?$ Simulate these events for a set point change of $2C$ at $t=10$ and a disturbance of $-0\mathrm{.}5C$ at $t=10$ separately, then simultaneously. Show the plots and discuss the results $($use a controller gain of $150$ for this part$).$

Why irrespective of our best efforts, the system still shows offset between the process variable and the set point?