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# GATE EC 2022: Control Systems Quiz 8

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Question 1

A second order process having transfer function G(s) = is cascaded with a standard PD controller in unity feedback configuration. If the closed loop system have velocity error constant K

_{V}= 300 and damping ratio ζ = 0.6, then the value of controller gain (k_{P}) isQuestion 2

The transfer function of a lag compensator is given as, G(s)=k

If this lag compensator is designed by the RC circuit shown below, then the value of α will be

If this lag compensator is designed by the RC circuit shown below, then the value of α will be

Question 3

The lead compensator has pole at s= -4 and a zero at s= -2. Then the maximum phase lead

_{m}and the corresponding frequency_{m}isQuestion 4

The transfer function of a PID controller is given by G(s) = 10[1++2s] as ω tends to zero

Question 5

A lead compensator network includes a parallel combination of R and C in the feed-forward path. If the transfer function of the compensator is , the value of RC is _________.

Question 6

The transfer function of a compensator is (s+4)/(s+16). The maximum phase lead frequency and the corresponding phase is

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