Hot-air heating control systems for large buildings may involve significant dead time if there is a large distance between the furnace and the room being

Heated (Figure P12.19). Proportional control applied to the specific plant
Gp(s) = 1 / 0.1s + 1
Has the gain KP = 10. The time units are minutes. How large can the dead time D between the controller and the plant be if the phase margin must be no less than 40o?

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Temperature sensor. Room Blower Heat exchanger Steam