Jaypee Institute of Information Technology (JIIT) 2008 B.E Electronics & Tele-Communication Engineering Test 3 : Control System - Question Paper

.IAVPF.F. UNIVERSITY OF INFORMATION TECHNOLOGY

WAKNAGHAT. SOLAN, H.P.

TEST-3 NOVEMBER 2008 SEMESTER VII

COURSE CODE: 07B7IEC401    MAXM. TIME: I 30 HRS.

COURSE NAME: CONTROL SYSTEMS

COURSE CREDIT: 3-1-0    MAXM MARKS: 30

Note: There are six questions. Answer all the questions.

1.    Derive the equation of constant N-Circle for the closed-loop system with unity feedback with having G(s) as opeti-loop transfer function.

In the above, evaluate the centre and radius of circle N-circle at angular frequencies 1 and when transfer function G(s) * l/(s+2).    |5]

2.    Derive the expression of resonant frequency for the system whose overall transfer function is

C(s) _ aj

(s) s* + 2<u_ns + <*)

Also, conclate the resonant frequency with die damped natural frequency. (3)

3.    Draw the Bode Plot for the following G(s) and also find the gain margin and phase margin

48<* + l0)

GU ⁸5--[8J

s{? +2.525 + 16X+20)

4.    Skctch the root-locus plot for the following characteristic equation

is + 2 X*² +4 s + 5)25 + K[s + l)0 and also determine the value of K at which the system becomes unstable. (5)

5.    The open-loop transfer function of a unity feedback is given bv G(s) =-

s(7j +1)

where K and T are positive constants. By what factor should the amplifier gain K be reduced so that the peak overshoot of unit-step response of system is reduced from 75% to 25%.    [4]

6.    (a) Describe second method of the tuning of P1D controller.

(b) Discuss the benefit of using PLCs over traditional methods.    (3+2)

Attachment: jaypee-institute-of-information-technology--jiit--2008-b-e-electronics--amp--tele-communication-engineering-21319-1.jpg

Earning:   Approval pending.