B F192030 Pages:2

Reg No.:_. Name:
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
SIXTH SEMESTER B.TECH DEGREE EXAMINATION(S), DECEMBER 2019
Course Code: EE304
Course Name: ADVANCED CONTROL THEORY

Max. Marks: 100 Duration: 3 Hours
PARTA
Answer all questions, each carries 5 marks. Marks
1 Obtain the transfer function of a lead compensator with the help of an electrical (5)
network.
2 Derive the transfer function of a PID Controller (5)
3 Derive a relation between state equation and transfer function for LTI system. (5)
4 Obtain the pulse transfer function for the system shown below. (5)
R(t ८ , : ன்‌
8 + : 9 >< (ಇ.ಸ ५१
8)0 ⋅⋅
H(s) +
5 With a neat diagram explain how the describing function analysis is used 10 (5)
determine the stability of a system?
6 What are jump response and limit cycles in connection with nonlinear systems? (5)
7 Explain with neat diagram, what is phase trajectory and phase portrait? (5)
8 Define positive definite and positive semi definite functions according to (5)
Liapunov stability criteria, with suitable examples.

PART ‏ا‎
‎Answer any two full questions, each carries 10 marks.

9 ஐ Draw the bode-plot of lag compensator and obtain an expression for maximum (6)
phase lag and corresponding frequency.

b) Explain turning of PID controller using Ziegler-Nichols tuning method. (4)
10 Explain the procedure for design of a lag Compensator using Bode Plot with (10)
suitable example
11 Consider a unity feedback system with open loop transfer function (10)
G(s) = ‏ہے‎
‎(s) s(s + 8)

Design a lead compensator to meet the following specification:
1. Percentage peak overshoot is 9.5%
2. Natural frequency of oscillations 12 rad/sec
3. Velocity error constant 2 10

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