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Q#1 Dynamic Behaviour of First and Second Order Systems GATE CH 2023 MCQ +2 marks -0.66 marks

Level (h) in a steam boiler is controlled by manipulating the flow rate (F) of the make-up (fresh) water using a proportional (P) controller. The transfer function between the output and the manipulated input is

                                  \(\frac{h(s)}{F(s)} = \frac{0.25(1 - s)}{s(2s + 1)}\)

The measurement and valve transfer functions are both equal to 1. A process engineer wants to tune the controller so that the closed-loop response gives decaying oscillations under servo mode. Which one of the following is the CORRECT value of the controller gain to be used by the engineer?

0.25

2

4

6

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