Code No: 128AB R15
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
B. Tech IV Year II Semester Examinations, December - 2020
ADVANCED CONTROL SYSTEMS
JN
(Electrical and Electronics Engineering)
Time: 2 hours Max. Marks: 75
Answer any Five Questions
All Questions Carry Equal Marks
TU
---
1. Consider the system,
k
G s H s
H
.
s 0.2s 11 0.05s
Draw the Nyquist plot and also, find the gain margin and phase margin for K = 1.[15]
U
2. Explain the design procedure of lag compensator in frequency domain. [15]
se
3. Discuss different theorems corresponding to Liapunov stability analysis. [15]
4. Determine the asymptotic stability using the second method of Liapunov for the system
d
dynamics given as
U [15]
Pa
5. Determine the kind of singularity for the following differential equation.
+3 +2y=0 [15]
pe
6. A linear second order servo is described by the equation +2ξ + C=0 where ξ=0.15,
=1 rad/sec, C(0)=1.5 and =0. Construct the phase trajectory, using the method of
rs
isoclines. [15]
7. Explain different inherent non linearities. Explain their properties. [15]
20
8. Investigate the completely controllability and observability of the system given by [15]
x1 2 0 0 x1 0 1
x 0 2 0 x 1 0 u1
20
2 2 u
x3 0 3 1 x3 0 1 2
x1
y1 1 0 0
y 0 1 0 x2
2 x
3
---ooOoo---