Download CONTROL SYSTEM QUESTION PAPER and more Exams Control Systems in PDF only on Docsity!
Reg No.:
ApJ ABDU L KAll?{pfiffilfi(81?681"o" .,n*
B.Tech Degree 56 (R,^ S) / 56 (PT) (R,^ S) Examination May^ 2024 (
Course Code: EET
Course Name: LINEAR CONTROL SYSTEMS
Max. Marks: 100
5 6 7
8 9 l
Duration: 3 Hours
PART A
Answer all questions, each carries 3 marks. Marks Define transfer function and find the transfer function of the given RC network with (3) Z" as output and V"as output. R
rtl
lv. c^ + lv.
+^ I'^ T^ l-
Give the characteristics of a lag compensator. (3) Draw the unit step response of a standard second order under damped system and (3) mark various time domain specifications. A unity feedback (^) system has an open loop transfer function G(s)H(s) (^) = (3)
;(ffi15.^ Determine the static error coefficients^ and steady^ state^ erors
for unit step, unit ramp and unit parabolic inputs.
What is root locus? Explain the information obtained^ from^ a^ root^ locus.^ (3) List (^) the characteristics of the PID controllers. (3) Define resonant peak and resonant frequency. Draw the frequency response ofa (3)
standard second order underdamped system and mark resonant peak and resonant .
frequency.
Explain how the stability of a system is analysed using Bode plot.
State Nyquist stabil ity criterion.
Explain the significance of Nichols chart.
K%"t-a
o ).1 | 5l;\ -E5^'\Zf>1.r?let- .'.ll4ll t (^) '<!
ffi
w
Page lof
I
1200EET3020124/J.
PART B
Answer onefall questionfrom^ each module, each comies I1 nurks.
I I a) Derive the transfer n n.,lon "r"" Hilt".l.ontroll"a DC motor and represent (8)
the system in block diagram form.
b) With relevant characteristics explain the operation (^) of a stepper motor (6)
OR
- 12 a)^ Determine^ the transfer function of a lead compensator using RC circuit (8)
components. List the characteristics of the lead compensalors.
b) Explain the working principle of AC Tachogenerator. (6)
. Module,,^ ; l3 a) Derive the expressions for peak time and peak overshoot of an under damped (8) (^) l second order system. b) Determine the damping ratio, damped frequency of oscillation, rise time, peak (6)
time, peak^ overshoot and settling time for the system having closed loop transfer
tunction, (^) ffi = (^) e#m
OR
l4 a) The forward path transfer function of a unity feedback control system is given by (8) G(s) (^) = (^) ;5fu1 Determine the unit step response of the system. i b) Using Routh's stability criterion determine the stability of the given^ system (6) whose characteristic equation is s6* ss * 2sa (^) s32s2* 5s*5=0.
Module lll
l5 a) Determine^ the value of Kfor which the system has 0.5 damping ratio of the closed (10) loop system with an open loop transfer function 6(s)H(s) (^) = (^) ,1r*fu5 usine
Root locus plot.
r b) Compare the performance characteristics of PI and PD controllers. (^) , (4)
(^16) a) "-' Consider a unity feedback system with an open loop transfer function, G(s) (^) - (10) K
s(s+8)-. Design^ a^ suitable^ compensator^ to^ meet the^ following^ specifications.
(i) Percentage Peak (^) overshoot: 9.5Vo (ii) (^) Natural frequency of oscillatior, (Dn:12^ radlsec (iii) Velocity (^) error constant K" >^ | (^) 0.
Page2of
