A transfer function from indoor radiator power, Q_ s; to
Chapter 6, Problem 58(choose chapter or problem)
A transfer function from indoor radiator power, \(\dot{Q}(s)\), to room temperature, T(s), in an \(11 \mathrm{~m}^2\) room is
\(P(s)=\frac{T(s)}{\dot{Q}(s)}=\frac{1 \times 10^{-6} s^2+1.314 \times 10^{-9} s+2.66 \times 10^{-13}}{s^3+0.00163 s^2+5.272 \times 10^{-7} s+3.538 \times 10^{-11}}\)
where \(\dot{Q}\) is in watts and T is in \({ }^{\circ} \mathrm{C}\) (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.
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