Control Systems - Study Mode
[#76] The Bode plot of the transfer function G(s) = s is: 1. Constant magnitude 2. 20 dB/decade 3. Constant phase shift angle 4. Constant phase shift of $$frac{pi }{2}$$ Which of these are correct?
Correct Answer
(D) 2 and 4
[#77] What is the transfer function of a phase lead compensator? The values of β and τ are given as β < 1 and τ > 0.
Correct Answer
(A) $$frac{{x08eta left( { au s + 1}
ight)}}{{left( {x08eta au s + 1}
ight)}}$$
[#78] For the system described by [mathop {
m{X}}limits^ cdot ] = AX match List-I with List-II and select the correct answer. List-I (Matrix A) List-II (Position of eigen values) a. [left[ {x08egin{array}{*{20}{c}}
{ - 1}&2\
0&{ - 2}
end{array}}
ight]] 1. One eigen value at the origin b. [left[ {x08egin{array}{*{20}{c}}
{ - 1}&{ - 2}\
{ - 2}&{ - 4}
end{array}}
ight]] 2. Both the eigen value in the LHP c. [left[ {x08egin{array}{*{20}{c}}
0&{ - 1}\
1&0
end{array}}
ight]] 3. Both the eigen values in RHP d. [left[ {x08egin{array}{*{20}{c}}
1&0\
2&4
end{array}}
ight]] 4. Both the eigen values on the imaginary axis
Correct Answer
(B) a-2, b-1, c-4, d-3
[#79] The response c(t) of a system is described by the differential equation $$frac{{{d^2}cleft( t
ight)}}{{d{t^2}}} + 4frac{{dcleft( t
ight)}}{{dt}} + 5cleft( t
ight) = 0$$ The system response is:
Correct Answer
(B) under damped
[#80] For small value of gain K, the root must be:
Correct Answer
(B) Near the poles of the loop transfer function