Question: The plant transfer function for a particular process is G p (s) = 26 + s 2s 2 / s(s + 2) (s +

The plant transfer function for a particular process is

Gp (s) = 26 + s – 2s2 / s(s + 2) (s + 3)

We wish to investigate the use of proportional control action with this plant.

a. Obtain the root locus and determine the range of values of the proportional gain Kp for which the system is stable.

b. Determine the value of Kp required to give z = 1.

c. Plot the unit step response of the plant. What is the effect of the negative sign in the numerator of Gp(s)?

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a The root locus equation is where K 2KP 0 The poles are s 0 2 3 and the zeros are s 386 and 336 Th... View full answer

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