Control Systems - Online Test
Q1. An input signal x(t) = 2 + 5sin (100πt) is sampled with a sampling frequency of 400 Hz and
applied to the system whose transfer function is represented by
where, N represents the number of samples per cycle. The output y(n) of the system under steady state is
Answer : Option C
Explaination / Solution:
Q2. For the transfer function
The values of the constant gain term and the highest corner frequency of the Bode plot respectively are
Answer : Option A
Explaination / Solution:
Q3. The second order dynamic system
has the matrices P, Q and R as follows:
The system has the following controllability and observability properties:
Answer : Option C
Explaination / Solution:
Q4. Nyquist plot of two functions G1(s) and G2(s) are shown in figure.
Nyquist plot of the product of G1(s) and G2(s) is
Answer : Option B
Explaination / Solution:
Q5. 
For the system governed by the set of equations:
the transfer function Y(s)/U(s) is given by
Answer : Option A
Explaination / Solution:
Q6. An open loop transfer function G(s) of a system is
For a unity feedback system, the breakaway point of the root loci on the real axis occurs at,
Answer : Option A
Explaination / Solution:
1+ G= (
Q7. The unit step response of a system with the transfer function 
is given by
which one of the following waveforms?
is given by
which one of the following waveforms?
Answer : Option A
Explaination / Solution:
Q8. The transfer function of a system is 
The steady state output y(t) is A cos(2t + φ) for
the input cos(2t). The values of A and φ, respectively are
The steady state output y(t) is A cos(2t + φ) for
the input cos(2t). The values of A and φ, respectively are
Answer : Option B
Explaination / Solution:
Q9. The phase cross-over frequency of the transfer function 
is
is
Answer : Option A
Explaination / Solution:
Q10. Consider the following asymptotic Bode magnitude plot (ω is in rad/s).
Which one of the following transfer functions is best represented by the above Bode magnitude plot?
Answer : Option A
Explaination / Solution:
