Question: A transfer function from indoor radiator power, Q (s); to room temperature, T(s), in an 11 m 2 room is where Q is in watts

A transfer function from indoor radiator power, Q̇ (s); to room temperature, T(s), in an 11 m² room is

T(s) P(s) = 1x 10- +1.314x 10-9s+ 2.66x 10-13 Q(s) s3 +0.00163s2

where Q̇ is in watts and T is in °C (Thomas, 2005). The room’s temperature will be controlled by embedding it in a closed loop, such as that of Figure P6.11. Find the range of K for closed-loop stability.

T(s) P(s) = 1x 10- +1.314x 10-9s+ 2.66x 10-13 Q(s) s3 +0.00163s2 + 5.272 10-'s +3.538 x 10-11

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