# GITAM University 2005 B.E Electronics & Tele-Communication Engineering Control Systems - Question Paper

Monday, 21 January 2013 12:55Web

College of Engineering

Gandhi Institute of Technology and Management, Visakhapatnam

(Affiliated to Andhra University)

B.

**E.**(Electronics and Communications Engineering ) 2nd Year

Second Semester exams 2004-2005

(Autonomous Stream)

EC 227 Control Systems

**Time:**three Hours Ma

**x.**

**Marks:**60

1. Answer ques. No. one ( Part –

**A)**and any 4 of the remaining 7 (Part – B)

2. All parts of a ques. must be answered in 1 place, otherwise they will not be valued.

3. Figures in the right hand margin indicate marks allotte

**d.**

PART – A

**1.**Answer the subsequent. 10x2=20

a) What are the advantages of a closed-loop system?

b) Compare the terms ‘stability’ & ‘sensitivity’.

c) The impulse response of a system is e-0.2t. Determine the transfer function of the system.

d) How does the performance of an automatic control system is effected by a positive feedback signal.

e) State Mason’s gain formula.

f) Define ‘rise time’ and ‘settling time’.

g) What are the effects of adding poles and zeros to the transfer function?

h) State the advantages of frequency domain analysis.

i) What will happen if a zero is added in the forward path of a second-order system?

j) Define a series-parallel compensation.

PART – B

ans any 4 of the subsequent. If you attempt more than 4 questions, only the 1st 4 in order will be value

**d.**

2. Obtain the overall transfer function C/R from the signal flow graph shown: (10)

**3.**a) Determine the mathematical model for the system shown in the figur

**e.**(5)

b) Derive the transfer function of field controlled dc servomotor. (5)

**4.**Measurements conducted on a servomechanism show the system response to be

C(t)= one + 0.2 e-60t – 1.2 e-10t when subjected to a unit-step input.

**a)**find the expression for the closed-loop transfer function.

**b)**Determine the undamped natural frequency and damping ratio of the system. (10)

**5.**Sketch the root locus diagram for the feedback control system having the subsequent open-loop transfer function. presume that ‘K’ will take all positive values from 0 to .

G(s) =

(10)

**6.**Draw the Bode plot of a closed-loop system which has the open-loop transfer function.

G(s)H(s) =

Determine the maximum value of ‘T’ for system to be stable. (10)

**7.**Write short notes on the following:

a) Effect of derivative control on transient and steady state performance of f.B.control system. (5)

b) Discuss lead compensator. Sketch the Bode plot of a lead compensator and provide the design steps of a lead compensator. (5)

**8.**a) Explain Routh-Hurwitz criterion. (4)

b) Investigate the stability of the system with characteristic formula.

s5+2s4+24s3+48s2 – 25s – 50 = 0

Also obtain all the roots of this formula. (6)

Earning: Approval pending. |