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Gate 2019: Control System Quiz 5

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Question 1

In the feedback system shown below
The step response of the closed-loop system should have minimum settling time and have no overshoot.
 
The required value of gain k to achieve this is

Question 2

The natural frequency of an undamped second-order system is 40 rad/s. If the system is damped with a damping ratio 0.3, the damped natural frequency in rad/s is ________.

Question 3

The transfer function of a unity feedback (type-1) second order system has a pole at (s = –2). The nature of gain K is such that the damping ratio is 0.4. The steady state error for r(t) = 4t is _____.

Question 4

A feedback system employing output rate damping is shown below

In the absence of derivative feedback, the rise time for the system response is _______ sec.

Question 5

The open-loop transfer function of a dc motor is given as . When connected in feedback as shown below, the approximate value of Ka that will reduced the time constant of the closed loop system by one hundred times as compared to that of the open-loop system is

Question 6

The response of the system to the unit step input the value of at t=0is
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Sep 22ESE & GATE EC