GATE 2010 ECE Control Systems - Complete Video Solutions with Answers

2010

1. The transfer function Y(s)/R(s) of the system shown is

Answer:B

Solution :   https://www.youtube.com/watch?v=ORTP8lmNl44

2. 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

Answer:B

Solution :   https://www.youtube.com/watch?v=3WAIkGRRes4

3. For the asymptotic bode magnitude plot shown below, the system transfer function can be

Answer:A

Solution :   https://www.youtube.com/watch?v=Tt58Wfn-dsQ

4. Given f(t) = L^–1[(3s + 1) / (s³ + 4s² + (k-3)s)]. If  Lim_{t -> ∞} f(t) = 1, then the value of k is

a) 1

b) 2

c) 3

d) 4

Answer:D

Solution :   https://www.youtube.com/watch?v=q65ZfJH4Ww0

5. A unity negative feedback closed loop system has a plant with the transfer function G(s) = 1/(s² + 2s + 2) and a controller G_c(s) in the feed forward path. For a unit step input, the tranfer function of the controller that gives minimum steady state error is

Answer:D

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

Common Data Questions:

The signal flow graph of a system is shown below.

6. The state variable representation of the system can be

Answer:D

Solution :   https://www.youtube.com/watch?v=-4PqIhkiPD0

7. The transfer function of the system is

Answer:C

Solution :  https://www.youtube.com/watch?v=kT5TsnSEl9g