2003
1. The driving point impedance Z(s) of a network has the pole-zero locations as shown in figure. If Z(0) = 3, then Z(s) is
Solution : https://www.youtube.com/watch?v=VkjfxpWTPj4
2. A second order system has the transfer function C(s)/R(s) = 4 / [s2 + 4s + 4] with r(t) as the unit step function, the response c(t) of the system is represented by
Solution : https://www.youtube.com/watch?v=-G7mdzB-60I
2004
3. The transfer function H(s) of an RLC circuit is given as 106/[s2+20s+106], then the Q – factor of this circuit is
a) 25
b) 50
c) 100
d) 5000
Solution : https://www.youtube.com/watch?v=uyZ1HtXU6Ow
4. For the circuit shown in figure, the initial conditions are zero. Its transfer function Vo(t)/Vi(t) is
Solution : https://www.youtube.com/watch?v=JKzEzWRjN4Q
2005
5. In the derivation of expression for peak percent overshoot, which one of the following conditions is NOT required?
a) system is linear and time invariant
b) system transfer function has a pair of complex conjugate poles and no zeros
c) there is no transportation delay in the system
d) the system has zero initial conditions
Solution : https://www.youtube.com/watch?v=CCM2Ygcsj1s
6. A double integrator plant, G(s) = K/S2, H(s) = 1 is to be compensated to achieve the damping ratio ξ = 0.5, and an undamped natural frequency ωn = 5 rad/sec. Which one of the following compensator Gc(s) will be suitable?
Solution : https://www.youtube.com/watch?v=5FCT5oDsBf0
2006
7. The unit step response of a system starting from rest is given by c(t) = 1 – e–2t for t ≥ 0. The transfer function of the system is
a) 1 / (1 + 2s)
b) 2 / (2 + s)
c) 1 / (2 + s)
d) 2s / (1 + 2s)
Solution : https://www.youtube.com/watch?v=KvqQF5J_bgY
8. The unit impulse response of a system is h(t) = e–t, t ≥ 0. For this system, the steady state value of the output for unit step input is equal to
a) –1
b) 0
c) 1
d) ∞
Solution : https://www.youtube.com/watch?v=8jfSroqXbV8
2007
9. If the closed loop transfer function of a control system is given as T(s) = (s – 5)/[(s + 2)(s + 3)], then it is
a) an unstable system
b) an uncontrollable system
c) a minimum phase system
d) a non-minimum phase system
Solution : https://www.youtube.com/watch?v=4soEmuGvfcI
10. The transfer function of a plant is T(s) = 5/[(s + 5)(s2 + s + 1)]. The second order approximation of T(s) using dominant pole concept is
Solution : https://www.youtube.com/watch?v=y1BxLLTHJOI
2008
11. The pole-zero plot given below corresponds to a
a) Low pass filter
b) High pass filter
c) band pass filter
d) Notch filter
Solution : https://www.youtube.com/watch?v=ZaDLLdETZPs
12. Step response of a set of three second order under damped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the three systems?
Solution : https://www.youtube.com/watch?v=X0RUYGCL8P4
13. Group – I lists a set of four transfer functions. Group – II gives a list of possible step responses y(t). Match the step responses with the corresponding transfer functions.
a) P - 3, Q - 1, R - 4, S - 2
b) P - 3, Q - 2, R - 4, S - 1
c) P - 2, Q - 1, R - 4, S - 3
d) P - 3, Q - 4, R - 1, S – 2
Solution : https://www.youtube.com/watch?v=jXGZriqlb1c
14. A certain system has transfer function G(s) = (s + 8)/(s2 + αs – 4 ), where α is a parameter. Consider the standard negative unity feedback configuration shown below.
Which of the following statements is true?
a) The closed loop system is never stable for any value of α
b) For some positive values of α, the closed loop system is stable, but not for all positive values
c) For all positive values of α, the closed loop system is stable
d) The closed loop system is stable for all values of α, both positive and negative
Solution : https://www.youtube.com/watch?v=lgA_id_ATbY
15. The magnitude of frequency response of an under damped second order system is 5 at 0 rad/sec and peaks to 10/√3 at 5√2 rad/sec. The transfer function of the system is
Solution : https://www.youtube.com/watch?v=3a4n-8XUFCg
2009
16. If the transfer function of the following circuit is Vo(s)/Vi(s) = 1/(2+sCR), then the value of the load resistor RL is
a) R/4
b) R/2
c) R
d) 2R
Solution : https://www.youtube.com/watch?v=0bJX_BCy6bc
2010
17. The transfer function Y(s)/R(s) of the system shown is
Solution : https://www.youtube.com/watch?v=ORTP8lmNl44
18. A system with transfer function Y(s)/X(s) = s/(s + p) has an output y(t) = cos(2t – π/3) for the input signal x(t) = p cos(2t – π/2). Then, the system parameter 'p' is
a) √3
b) 2/√3
c) 1
d) √3/2
Solution : https://www.youtube.com/watch?v=3WAIkGRRes4
2011
19. The differential equation 100d2y/dt2-20dy/dt+y = x(t) describes a system with an input x(t) and an output y(t).The system which is initially relaxed, is excited by a unit step input. The output y(t) can be represented by the waveform
Solution : https://www.youtube.com/watch?v=nGDKxd0P1DA
2012
20. A system with transfer function is excited by sin(ωt).
The steady state output of the system is zero at
a) ω = 1 rad/sec
b) ω = 2 rad/sec
c) ω = 3 rad/sec
d) ω = 4 rad/sec
Solution : https://www.youtube.com/watch?v=UYEEuh71lxc
2013
21. Which one of the following is NOT TRUE for a continuous time causal and stable LTI system?
a) all the poles of the system must lie on the left side of the jω axis
b) zeros of the system can lie anywhere in the s-plane
c) all the poles must lie with in |s| = 1
d) all the roots of the characteristic equation must be located on the let side of the jω axis
Solution : https://www.youtube.com/watch?v=pKt_YzAm3z0
22. A polynomial f(x) = a4x4+a3x3+a2x2+a1x–a0 with all coefficients positive has
a) no real roots
b) no negative real root
c) odd number of real roots
d) at least one positive and one negative real root
Solution :
23. Assuming zero initial conditions, the response y(t) of the system given below for a unit step input, u(t) is __________________
a) u(t)
b) t.u(t)
c) (1/2)t2.u(t)
d) e-t.u(t)
Solution : https://www.youtube.com/watch?v=haTwaJVl46E
24. The transfer function V2(s)/V1(s) of the circuit shown is
Solution : https://www.youtube.com/watch?v=iVJ4qUlg8BE
25. The open loop transfer function of a DC motor is given as ω(s)/Va(s) = 10/(1+10s). when connected in feedback as shown below.
The approximate value of Ka that will reduce the time constant of the closed loop system by one hundred times as compared to that of the open loop system is
a) 1
b) 5
c) 10
d) 100
Solution : https://www.youtube.com/watch?v=594vhbYCvbs
2014
26. The forward path transfer function of a unity feedback system is given by
The value of K which will place both the poles of the closed loop system at the same location is
_________________
Solution : https://www.youtube.com/watch?v=XwzA0qsCdYs
27. In the circuit shown, the value of capacitor C (in mF) needed to have critically damped response i(t) is ______________________
Solution : https://www.youtube.com/watch?v=MTY9pmGILi4
28. For the following feedback system
The 2% settling time of the step response is required to be less than 2 seconds.
Which one of the following compensators C(s) achieves this?
Solution : https://www.youtube.com/watch?v=b-mTm3UY9Go
29. The natural frequency of an undamped second order system is 40 rad/sec. If the system is damped with a damping ratio 0.3, the damped natural frequency in rad/sec is ______________
Solution : https://www.youtube.com/watch?v=v8DCS-MhNUs
30. For the second order closed loop system shown in the figure,
the natural frequency (in rad/sec) is
a) 16
b) 4
c) 2
d) 1
Solution : https://www.youtube.com/watch?v=x0bqQ1Wbxeg
2015
31. A unity negative feedback system has an open loop transfer function G(s) = K / S(S+10), the gain K for the system to have a damping ratio of 0.25 is _____________
Solution : https://www.youtube.com/watch?v=LCcmOh0C1rY
32. The output of a standard second order system for a unit step input is given as
The transfer function of the system is
Solution : https://www.youtube.com/watch?v=gRlkHoZYDX4
1. The driving point impedance Z(s) of a network has the pole-zero locations as shown in figure. If Z(0) = 3, then Z(s) is
Solution : https://www.youtube.com/watch?v=VkjfxpWTPj4
2. A second order system has the transfer function C(s)/R(s) = 4 / [s2 + 4s + 4] with r(t) as the unit step function, the response c(t) of the system is represented by
Solution : https://www.youtube.com/watch?v=-G7mdzB-60I
2004
3. The transfer function H(s) of an RLC circuit is given as 106/[s2+20s+106], then the Q – factor of this circuit is
a) 25
b) 50
c) 100
d) 5000
Solution : https://www.youtube.com/watch?v=uyZ1HtXU6Ow
4. For the circuit shown in figure, the initial conditions are zero. Its transfer function Vo(t)/Vi(t) is
Solution : https://www.youtube.com/watch?v=JKzEzWRjN4Q
2005
5. In the derivation of expression for peak percent overshoot, which one of the following conditions is NOT required?
a) system is linear and time invariant
b) system transfer function has a pair of complex conjugate poles and no zeros
c) there is no transportation delay in the system
d) the system has zero initial conditions
Solution : https://www.youtube.com/watch?v=CCM2Ygcsj1s
6. A double integrator plant, G(s) = K/S2, H(s) = 1 is to be compensated to achieve the damping ratio ξ = 0.5, and an undamped natural frequency ωn = 5 rad/sec. Which one of the following compensator Gc(s) will be suitable?
Solution : https://www.youtube.com/watch?v=5FCT5oDsBf0
2006
7. The unit step response of a system starting from rest is given by c(t) = 1 – e–2t for t ≥ 0. The transfer function of the system is
a) 1 / (1 + 2s)
b) 2 / (2 + s)
c) 1 / (2 + s)
d) 2s / (1 + 2s)
Solution : https://www.youtube.com/watch?v=KvqQF5J_bgY
8. The unit impulse response of a system is h(t) = e–t, t ≥ 0. For this system, the steady state value of the output for unit step input is equal to
a) –1
b) 0
c) 1
d) ∞
Solution : https://www.youtube.com/watch?v=8jfSroqXbV8
2007
9. If the closed loop transfer function of a control system is given as T(s) = (s – 5)/[(s + 2)(s + 3)], then it is
a) an unstable system
b) an uncontrollable system
c) a minimum phase system
d) a non-minimum phase system
Solution : https://www.youtube.com/watch?v=4soEmuGvfcI
10. The transfer function of a plant is T(s) = 5/[(s + 5)(s2 + s + 1)]. The second order approximation of T(s) using dominant pole concept is
Solution : https://www.youtube.com/watch?v=y1BxLLTHJOI
2008
11. The pole-zero plot given below corresponds to a
b) High pass filter
c) band pass filter
d) Notch filter
Solution : https://www.youtube.com/watch?v=ZaDLLdETZPs
12. Step response of a set of three second order under damped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the three systems?
Solution : https://www.youtube.com/watch?v=X0RUYGCL8P4
13. Group – I lists a set of four transfer functions. Group – II gives a list of possible step responses y(t). Match the step responses with the corresponding transfer functions.
b) P - 3, Q - 2, R - 4, S - 1
c) P - 2, Q - 1, R - 4, S - 3
d) P - 3, Q - 4, R - 1, S – 2
Solution : https://www.youtube.com/watch?v=jXGZriqlb1c
14. A certain system has transfer function G(s) = (s + 8)/(s2 + αs – 4 ), where α is a parameter. Consider the standard negative unity feedback configuration shown below.
a) The closed loop system is never stable for any value of α
b) For some positive values of α, the closed loop system is stable, but not for all positive values
c) For all positive values of α, the closed loop system is stable
d) The closed loop system is stable for all values of α, both positive and negative
Solution : https://www.youtube.com/watch?v=lgA_id_ATbY
15. The magnitude of frequency response of an under damped second order system is 5 at 0 rad/sec and peaks to 10/√3 at 5√2 rad/sec. The transfer function of the system is
Solution : https://www.youtube.com/watch?v=3a4n-8XUFCg
2009
16. If the transfer function of the following circuit is Vo(s)/Vi(s) = 1/(2+sCR), then the value of the load resistor RL is
b) R/2
c) R
d) 2R
Solution : https://www.youtube.com/watch?v=0bJX_BCy6bc
2010
17. The transfer function Y(s)/R(s) of the system shown is
Solution : https://www.youtube.com/watch?v=ORTP8lmNl44
18. A system with transfer function Y(s)/X(s) = s/(s + p) has an output y(t) = cos(2t – π/3) for the input signal x(t) = p cos(2t – π/2). Then, the system parameter 'p' is
a) √3
b) 2/√3
c) 1
d) √3/2
Solution : https://www.youtube.com/watch?v=3WAIkGRRes4
2011
19. The differential equation 100d2y/dt2-20dy/dt+y = x(t) describes a system with an input x(t) and an output y(t).The system which is initially relaxed, is excited by a unit step input. The output y(t) can be represented by the waveform
Solution : https://www.youtube.com/watch?v=nGDKxd0P1DA
2012
20. A system with transfer function is excited by sin(ωt).
a) ω = 1 rad/sec
b) ω = 2 rad/sec
c) ω = 3 rad/sec
d) ω = 4 rad/sec
Solution : https://www.youtube.com/watch?v=UYEEuh71lxc
2013
21. Which one of the following is NOT TRUE for a continuous time causal and stable LTI system?
a) all the poles of the system must lie on the left side of the jω axis
b) zeros of the system can lie anywhere in the s-plane
c) all the poles must lie with in |s| = 1
d) all the roots of the characteristic equation must be located on the let side of the jω axis
Solution : https://www.youtube.com/watch?v=pKt_YzAm3z0
22. A polynomial f(x) = a4x4+a3x3+a2x2+a1x–a0 with all coefficients positive has
a) no real roots
b) no negative real root
c) odd number of real roots
d) at least one positive and one negative real root
Solution :
23. Assuming zero initial conditions, the response y(t) of the system given below for a unit step input, u(t) is __________________
b) t.u(t)
c) (1/2)t2.u(t)
d) e-t.u(t)
Solution : https://www.youtube.com/watch?v=haTwaJVl46E
24. The transfer function V2(s)/V1(s) of the circuit shown is
Solution : https://www.youtube.com/watch?v=iVJ4qUlg8BE
25. The open loop transfer function of a DC motor is given as ω(s)/Va(s) = 10/(1+10s). when connected in feedback as shown below.
a) 1
b) 5
c) 10
d) 100
Solution : https://www.youtube.com/watch?v=594vhbYCvbs
2014
26. The forward path transfer function of a unity feedback system is given by
_________________
Solution : https://www.youtube.com/watch?v=XwzA0qsCdYs
27. In the circuit shown, the value of capacitor C (in mF) needed to have critically damped response i(t) is ______________________
Solution : https://www.youtube.com/watch?v=MTY9pmGILi4
28. For the following feedback system
Which one of the following compensators C(s) achieves this?
Solution : https://www.youtube.com/watch?v=b-mTm3UY9Go
29. The natural frequency of an undamped second order system is 40 rad/sec. If the system is damped with a damping ratio 0.3, the damped natural frequency in rad/sec is ______________
Solution : https://www.youtube.com/watch?v=v8DCS-MhNUs
30. For the second order closed loop system shown in the figure,
a) 16
b) 4
c) 2
d) 1
Solution : https://www.youtube.com/watch?v=x0bqQ1Wbxeg
2015
31. A unity negative feedback system has an open loop transfer function G(s) = K / S(S+10), the gain K for the system to have a damping ratio of 0.25 is _____________
Solution : https://www.youtube.com/watch?v=LCcmOh0C1rY
32. The output of a standard second order system for a unit step input is given as
Solution : https://www.youtube.com/watch?v=gRlkHoZYDX4
No comments:
Post a Comment