Proportional control action applied to the heat flow rate qi can be used to control the temperature of the oven shown in Figure P11.18. Consider the specific plant
Gp (s) = TI(s) / Qi (s) = s + 10 / s2 + 5s + 6
Use the root locus plot to obtain the smallest damping ratio this system can have. Obtain the value of the proportional gain Kp required to minimize the dominant time constant with ( = 0.707, and determine this time constant.

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