1. A given open loop room heating system has a gain of 1.2 and a time...

1. A given open loop room heating system has a gain of 1.2 and a time constant of 15 seconds. Derive the transfer function of the system in Laplace domain.

2. A closed loop proportional controller was implemented for the system described in Task 1 Q1 above to reduce the time constant to 10 seconds.

a. Draw the block diagram of the system, assuming that the error signal is the difference between the set and actual measured room temperatures.

b. Calculate the gain value (K) of the proportional control action that achieve the above response.

c. Derive the overall closed-loop transfer function in Laplace domain.

Expert Solution

1.Transfer function has been derived.

2(a) Block diagram has been drawn.

(b) Proportional controller gain has been calculated.

(c) The overall closed loop transfer function has been derived.

All the image files of solution have been attached, find the same.

Manojponduru answered 2 years ago

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