Tollowing of systems. Classity each as overdamped, underdamped, undamped or critically damped systems by solving the poles of each. Plot the poles on the s-plane, draw the corresponding transient responses and solve the equation of the transient response c(t) using a unit step function r(t) = 1, or R(s) =- as input. 400 a. G(s) = 7 + 12s + 400 900 b. Gs) 2, 90s + 900 225 с. G) - 2 + 30s + 225

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Given the following transfer function of second order systems. Classify
each as overdamped, underdamped, undamped or critically damped
systems by solving the poles of each. Plot the poles on the s-plane, draw
the corresponding transient responses and solve the equation of the
transient response c(t) using a unit step function r(t) = 1, or R(s) =- as an
input.
400
a. G(s) :
7 + 12s + 400
900
b. G(s) = F, 90s + 900
225
c. G(s) ·
g2 + 30s + 225
625
d. G(s) =
? + 625
Transcribed Image Text:Given the following transfer function of second order systems. Classify each as overdamped, underdamped, undamped or critically damped systems by solving the poles of each. Plot the poles on the s-plane, draw the corresponding transient responses and solve the equation of the transient response c(t) using a unit step function r(t) = 1, or R(s) =- as an input. 400 a. G(s) : 7 + 12s + 400 900 b. G(s) = F, 90s + 900 225 c. G(s) · g2 + 30s + 225 625 d. G(s) = ? + 625
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