Shivaji University 2010-5th Sem B.E Electrical Engineering T.E(Electrical)- (New ), Feedback Control Systems - exam paper

This is paper of feedback control systems(FCS) for May 2010 for 3rd year electrical engineering students of Shivaji University, Kolhapur.

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T-'E. (Electrical) (Semester - V) Examination, 2010 FEEDBACK CONTROL SYSTEMS (New Course)

Day and Date : Thursday, 13-5-20 iO    Toiai Marks : 100

Tme; 10.00 3,rn. to LOO p.n*.

r I} Solve any three questions from Section - I and any three questions from Section IL 2} Assume suitable dam wherever necessary.

3} Figures to the right indicate full marks.

SECTION -1

I. a) Simplify the block diagram shown .in Fig, I to obtain the dosed loop transfer

function C (s) / R (s),    8

Fig. 2

a) Obtain a staie-space model for a svsiem shown in Fig. 3.

Vcv    ^v'^s;

\ CD

Fig. 3

b) Obtain a statesp&ce model for a system defined by

Y(s) _:: 2s +s4-s-t2 U(s) st-4sⁱ'r-5s-i-2

C(s)    W_h²

tor a second order sysiem ^v7T-'^vT^_rrr;....., with C < K

R(S) S'H-2W..St

Obtain the expressions for i) Delay tunc 5) Rise time ill) Peak time

iv) Maximum peak overshoot

a)    Draw a neat: schematic of hydraulic P] controller and obtain Us transfer function,

b)    Obtain a transfer function of.field controlled DC servo mechanism.

s) What is stability of control system ? Explain the responses contributed by various types of roots such as i) Single root ai s <j .ii) Roots of multiplicity k at s c ii!) Complex conjugate root pair at s c+j

iv)    Complex conjugate root pair of multiplicity K at s ~ ojo

v)    Single complex conjugate root pair ats + j

vi)    Complex conjugate root pair of multiplicity K at s --j a.

b) A unity feedback system has open loop transfer function

^x (s + 0.1)(s-l)

Determine value of k for which svstem is stable,

a)    Obtai.il a root locus plot o.f a feedback system with the characteristic equation. lr...................=0-

s{s + l)(s + 2)

b)    "What is transportation lag ? How the systems wills transportation lag are approximated ?

Attachment: shivaji-university-2010-b-e-electrical-engineering-34938-1.pdf

Earning:   Approval pending.