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Posted By: cdteja Member Level: Silver Posted Date: 27 Nov 2007
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2005 Jawaharlal Nehru Technological University jntu Question paper
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Code No: NR220405 NR
II B.Tech II Semester Supplementary Examinations,
November/December 2005
CONTROL SYSTEMS
( Common to Electronics & Communication Engineering, Electronics &
Instrumentation Engineering, Electronics & Control Engineering and
Electronics & Telematics)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) Explain the concept of multivariable control systems.
(b) Evaluate the output of the system given below(Figure1). [6+10]
Figure 1:
2. (a) What is feedback? Explain the effects of feedback.
(b) What is the sensitivity function and explain with respect to open loop and
closed loop systems. [6+10]
3. (a) Determine the values of K and k of the closed-loop system shown below
Figure2, so that the maximum overshoot for unit-step response is 25% and
the peak time is 2sec. Assume that J=1kg-m2.
Figure 2:
(b) Explain error constants Kp, Kv, Ka for type II system. [8+8]
4. A feedback system employing output-rate damping is shown in Figure 3:
1 of 2
Code No: NR220405 NR
(a) In the absence of derivative feedback (K0=0), determine the damping factor
and natural frequency of the system. What is the steady state error resulting
from unit-ramp input?
(b) Determine the derivate feedback constant K0, which will increase the damping
factor of the system to 0.6. What is the steady-state error to unit-ramp input
with this setting of the derivative feedback constant?
(c) Illustrate how the steady-state error of the system with derivative feedback
to unit-ramp input can be reduced to same value as in part (a), while the
damping factor is maintained at 0.6. [6+5+5]
Figure 3:
5. A unity feedback system has an open loop transfer function
G(s) H(s)= K
s(s+3) (s2+2s+2)
Sketch the root locus as âKâ varied from 0 to 1 . [16]
6. The open loop transfer function of a system is G(s) = K
s(1+0.5s)(1+0.2s) using Bode
Plot. Find K so that
(a) Gain margin is 6 dB,
(b) Phase margin is 250. [16]
7. The open loop transfer function of unity feedback is
G(s) = 1
s(s+1)(0.5s+1)
Design a compensator to meet the following specifications. Velocity error constant
Kv = 5 sec-1; phase margin = 400; Gain margin = 10 db. [16]
8. (a) For the given transfer function.
T(s) =
(bo s3)
s3+a2s2+a1s+a0
Obtain the state model of the system.
(b) Obtain the state transition matrix (t) given the system matrix. [10+6]
A = 1 0
1 1
? ? ? ? ?
2 of 2
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