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Subject Code: KEE502
0Roll No: 0 0 0 0 0 0 0 0 0 0 0 0 0
B.TECH
(SEM V ) THEORY EXAMINATION 2020-21
CONTROL SYSTEMS
Time: 3 Hours Total Marks: 100
Note: 1. Attempt all Sections. If require any missing data; then choose suitably.
SECTION A
1. Attempt all questions in brief. 2 x 10 = 20
Qno. Question Marks CO
a. List the advantages of closed loop over open loop system. 2 1
b. Define transfer function. Give an example for it. 2 1
c. Write the Manson’s gain formula 2 2
d. What are the standard test signals used in control system 2 2
e. Distinguish between type and Order of a system 2 3
f. Define a stable system 2 3
g. Define gain and phase margins 2 4
h. Why negative feedback is preferred in closed loop control system. 2 4
i. Define state and state variable. 2 5
j. State the necessary condition of stability. 2 5
SECTION B
2. Attempt any three of the following:
Qno. Question Marks CO
a. Determine the transfer function of the given system using block diagram 10 1
reduction
A
b. Write down the differential equation governing the mechanical 10 1
translation system and find the transfer function
c. Define the following term: 10 2
i) Rise time ii) Peak time iii) Peak Overshoot iv) Settling time
d. Find the state transition matrix of the following matrix 10 4
1 0
A
1 1
e. What are the characteristics of servomotors? Compare the AC and Dc 10 5
servomotors?
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Subject Code: KEE502
0Roll No: 0 0 0 0 0 0 0 0 0 0 0 0 0
SECTION C
3. Attempt any one part of the following:
Qno. Question Marks CO
a. Derive the expression for steady state error and explain Kp,Kv and Ka. 10 3
b. For the unity feedback control system the open loop transfer function, 10 2
G(s)=10(s+2)/s2(s+4). Find the ess when the input is r(t)=3-2t+3t2. And
find Kp, Kv and Ka
4. Attempt any one part of the following:
Qno. Question Marks CO
a. Derive the time response of first order system. 10 2
b. The open loop transfer function of a unity feedback control system is 10 2
given by G(s)=9/s(s+3). Find the natural frequency of response,
damping ratio, damped frequency and time constant.
5. Attempt any one part of the following:
Qno. Question Marks CO
a. Determine the Routh’s stability of given characteristics equation 10 3
S4+8S3+18S2+16S+5=0
b. Draw Nyquist plot for the open loop transfer function is 10 3
G(s)H(s)=1/s(s+2)
6. Attempt any one part of the following:
Qno. Question Marks CO
a. Sketch the root locus of the system, whose transfer function is 10 4
G(s)=K(s+15)/s(s+1)(s+5)
b. Write down the procedure for designing Lag-Lead compensator . 10 4
7. Attempt any one part of the following:
Qno. Question Marks CO
a. Find the controllability and observability of the system 10 5
.
x1 0 1 0 x1 0
.
x2 0 0 1 x2 0 u (t )
. 0 0 0 x 1
x3 3
x1
y (t ) 1 0 0 x2 0 u
x3
b. Obtain the state space representation for the following differential 10 5
equation
.. .
y 5 y 7 y 114 , where ‘y’ is the output and ‘u’ is the input.
