1.CLTF of a system is 𝑻(𝒔) =
𝑺+𝟒
𝑺𝟐 +𝟕𝑺+𝟏𝟑
. Calculate
OLTF.(Hint system is
having unity feedback)
2. A second order system represented by
𝒅𝟐 𝑿
𝒅𝒕𝟐
+
𝟏 𝒅𝒙
𝟐 𝒅𝒕
+
𝟏
𝟏𝟖
𝒙 = 𝟏𝟎 + 𝟓𝒆−𝟒𝒕 +
𝟐𝒆−𝟓𝒕 . Find the Time Constants of the second order system.
3.For the given below block diagram calculate transfer function.
4.Convert the given block diagram in to signal flow graph and find transfer
function of the system.
5.Determine Steady state Value of Z(S) for the following system.
6.Find the range of K value for the system to be stable.𝑮(𝑺) =
Where K > 0 ; T > 0
𝑲(𝑺+𝟏)
𝑺(𝟏+𝑻𝑺)(𝟏+𝟐𝑺)
7.From polar plot PM is equal to
Determine
the
value
of
𝝅
𝟒
for a UFBCS with OLTF of 𝑮(𝑺) =
gain
cross
over
frequency
and
𝟏+𝒂𝑺
𝑺𝟐
a
.
8. For a UFBCS with OLTF of 𝑮(𝑺) =
𝟏
.Calculate PM of the system
𝑺(𝑺+𝟐)(𝑺+𝟒)
in dB without help of graph.(Hint Use the definition of PCF)
9. For a UFBCS with OLTF of 𝑮(𝑺) =
𝑲
𝑺(𝟏+𝑺𝑻)
and Maximum overshoot of 25%
with reasonant frequency of 8 rad/sec. Calculate the value of K and T.
10.For a second order system resonant frequency is equal to 8.09 (r/s) and damping
frequency equals to 8.29 (r/s). calculate bandwidth and natural frequency.