APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY Previous Years Question Paper & Answer

Course : M.Tech

Semester : SEMESTER 1

Year : 2017

Term : DECEMBER

Branch : CONTROL SYSTEMS

Scheme : 2015 Full Time

Course Code : 01 EE 6101

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APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER .M.TECH DEGREE EXAMINATION, DECEMBER 2017
Branch: Electrical and Electronics Engineering: 500008):
1. Control Systems
2. Guidance a.nd Ntrvigational Control
3. Electrical Machines
4 _ Power System and Control
5. Power Couttv! und Drives

OIEE6101: DYNAMICS OF LINEAR SYSTEMS
l)uration: 3 hrs Max. Marks: 60

Answer any two Jutt questions from each PART
Limit answers to the required points.

PART A(MOdules 1 and [1)

1.(a) Explain the effects of proportional and derivative gains of the I'll) coliti0110r on (3) the
system performance.

(b) Realize a suitable compensator using operational amplifiers for a unity feedback (6)
1

systC111 t,vhose open loop tians[er function is G(s) = (seal )(s42)) , so as to obtaill a
static volocity error const.ant Kv 5.scc" without appreciablv clianging the location of
the original closed loop poles.

2. (೩) Explain the need of anti-windup circuit in an integral controller. (3) (b) Design a phase
lead compensator for the system whose transfer IlInction is (0). to satisfy the following
specifications.

e The phase margin of the system must. be greater than '15°.

e Steady state error for a unit step input should be less than deg per (leg/sec of the
final output velocity.

e The gain cross over frequency of the system must be less I han 7.5 rad/sec.

3. (a) Realize *೩ PID controller using operational alnplificrs. (3)

>(७) = 105
G(s) = ஜி
1. ಆ 40ms
PART 13(MOdulcs m and IV)

4, (a) 'What is the significance of a controllability gramian Inatri,x, Derive the expressien(4)
for the controllability gra:nian Inatrix 01 a linear sy.st,enl.

(b) Obtain the control signal if it exists. to transfer the system statos from an initial (5)

(b) Design a suitable

2
01 0 transfer funct ion (6) ١ to
A= ( ) . B= ( ) meet the following

0 0 1 ⋅ ⋅
specifications, ess ( =

to a गि] state 2* = ( 2 ) for the 90830058108 for €
system with an open loop

().707, and

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