Semester : SEMESTER 1
Subject : Dynamics of Linear Systems
Year : 2017
Term : DECEMBER
Branch : CONTROL SYSTEMS
Scheme : 2015 Full Time
Course Code : 01 EE 6101
Page:1
No. of Pages: 2
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