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Biju Patnaik University of Technology 2008-5th Sem B.Tech (B Tech)control system engineering . - Question Paper

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BPUT(B Tech) fifth semester control system engineering ques. paper.

Tolaf number of printed pages - 7    B.Tech

CPEE 5302

Fitth Semester Examination - 2008 CONTROL SYSTEM ENGINEERING Full Nlarks-70

Time-3 Hours

Answer Oueslion No. 1 which is compulsory

I wl and any five from me re$L

The figures in (he right-hand margin indicate marks,

7 *10

1, Give brief answGrs :

(t) Wtial is the transfer lunction of a system ' vqsb response =(0 to an input r(t) is given by the differential equation ;

+ 3 +5C=5r dt2 dt

(ii) What is overall transfer function of the system whose signal flow graph is shown

(vi)    Explain gain margin and phase margin.

(vii)    What is the peak-overshoot for unit step response of the system described by closed loop transfer function,

49

s +16s + 49


(iii)    What are the effects of negative feedback control on sensitivity to noise and parameter variation of a system ?

(iv)'    Explain the effects of adding a zero to a IWL second order system ?    

(v)    What are the damping factor and natural frequency, con of the system shown in Fig. 2 ?

CPEE 5302


Contd.


(viii)    Draw the log-magnitude versus phase plot of a second order under damped system.

(ix)    What are the effects of integral control action ?    ,

(x)    What are the effects of derivative control action ?

2. (a) Explain the principle of operation and

characteristics of a two phase servo

,    4

motor.

CPEE 5302    3    PT'


Vn(S)

(b) Obtain the transfer function, of the cascaded R-C circuit shown in Fig, 3,

6


+

6

R, I.

TTTn

L


+

V,


Fig. 4

(b) Obtain the expression for unit step* response of a second order under-damped system.    4

(a)    Define lime response specifications. Obtain their expressions tor unit step response of a under damped second oftier system.    5

(b)    Block diagram model of a control system is shown in Fig, 5. Determine the vatue of K such that the damping ratio is 0.5, Also obtain the values of rise time and maximum overshoot in its unit step response.    5

IWL


Fig. 5 5


RTO.


fa) Using RouitvHufwai. Gmenon, mvestyHite Me stab<*<ty oJ system whoso char ac* lehstic egunifon #s    3

+ s* +Zs* * 2s * 3s + 6 = 0

(b> Sketch the root locus ptol! o* a unity feedback system th forward path gam.

G(S)

5<S 2)(S + 4)

Find Ihe range ol K for which the system

is under damped.    4 IWL

(c) Explain Nyquisi criterion to1 determine stability of control systems    3

(a) Using Nyquist stabflity cntonon determine the stability of system with    4-t 3

6*


(i) G(s)H(s)Sf3)

S(S-1)

Js + 2)

t>t) G(s)H(s)-


(S* IKS 1)

(b) Sketch the potar ptots tor :

1

(l) G(sj H(s)

1-sT

t

in) G(s)H(s)s;

SMsT)

(a) Sketch the Bode plot tor;

G{S)

different

s* - 2lHrs + ttiJ

values of Obtain resonant frequency and' resonant peak.    5

(b) Describe Ihe construction, wording and applications of an Amplidyne.    5

S. (a) Explain ihe constant M-cirdes, the constant N-circles, and the Nichofs chart- 3

(b)    Write a note on, applications of P+D controllers,    3

(c)    Discuss the Zeigler-Nlchois method of tuning P-l-D controllers.    4

-C

CPEE 5302


CPEE 5302    Contd.







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