A transfer function is given by, G(s) =1/(2s^2+as+50)
Here, a = 12
(a) Find the poles and zeros of the system.
(b) Draw a pole-zero map and comment on the stability of the system.
(c) Show the step response of the system.
(d) Draw the root locus of the system.
(e) Design a PID controller in Simulink and determine the values of the gains to
ensure settling time less than 5 seconds for the given system.
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