A room’s temperature can be controlled by varying the radiator power. In a specific room, the transfer function from in door radiator power, Q, to room temperature, T in °C is (Thomas, 2005)

The system is controlled in the closed-loop configuration shown in Figure 10.20 with G(s) = KP(s); H = 1.

a. Draw the corresponding Nyquist diagram for K = 1.

b. Obtain the gain and phase margins.

c. Find the range of K for the closed-loop stability. Compare your result with that of Problem 58, Chapter 6.

Transcribed Image Text:

T(s) P(s) = Q(s) (1x 10-6)s +(1.314 x 10-9)s + (2.66 x 10-13) 3+0.00163 s? + (5.272 x 10-7)s + (3.538 x 10-11)