B B6811 Pages: 3

Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
SIXTH SEMESTER B.TECH DEGREE EXAMINATION, APRIL 2018
Course Code: EE304
Course Name: ADVANCED CONTROL THEORY (EE)

Max. Marks: 100 Duration: 3 Hours
PARTA
Answer all questions, each carries 5 marks. Marks
1 What is a lag compensator? Draw its pole-zero plot and the frequency response (5)
characteristics.
2 Explain the effects of adding PID controller to a system. (5)
3 Selecting 1/(ಗ =x)(t) and i2(t) =x2(t)as sate variables obtain state equation and (5)

output equation of the network shown in Fig. 1

Fig.1

4 The characteristic polynomial of certain sampled data system is given by (5)
P(z) = z*- 1.2z°+ 0.072+ 0.32 - 0.08 = 0, test the stability of the system using

Jury’s stability test.
5 Explain different non linearities with diagram. (5)
6 What is limit cycle? How will you determine stable and unstable limit cycle using (5)

phase portrait?
7 What are singular point? Explain the types of singular point. (5)
8 Determine given quadratic form is positive definite or not (5)

V(x) =10x; + 4x5 +र + 2x, x, —2x,x, - 4x, x,

PART B
Answer any two full questions, each carries10 marks.

9 2) Fora feedback system shown in Fig. 2, design suitable compensator so that phase (10)
margin is 40°and steady state error for ramp input < 0.2

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