Steady State Error & Error Constants (Kp, Kv , Ka) - Topic wise GATE Questions on Control Systems (from 2003)

2005
1. A ramp input applied to a unity feedback system results in 5% steady state error. The Type number and zero frequency gain of the system are respectively
a) 1 and 20
b) 0 and 20
c) 0 and 1/20
d) 1 and 1/20

Answer:A

Solution : https://www.youtube.com/watch?v=cmSIdjxqW-s

2009
2. The unit step response of an under damped second order system has steady state value of – 2. Which of the following transfer functions has these properties?

Answer:B

Solution : https://www.youtube.com/watch?v=FVflQ49wsF8

2014
3. The steady state error of the system shown in the figure for a unit step input is ___________

Answer:0.5

Solution : https://www.youtube.com/watch?v=FYTHpf7oG_w

2015
4. The position control of a DC servo-motor is given in the figure. The values of the parameters are KT = 1 N-mA, R_a = 1 ohm, L_a = 0.1 H, J = 5 kg-m², B = 1 N-m/(rad/sec) and Kb = 1 volt/(rad/sec). The steady state position response(in radians) due to unit impulse disturbance torque T_d is _______.

Answer:0.5

Solution : https://www.youtube.com/watch?v=mbkr17M1Cng