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Reg No.:_ Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
SIXTH SEMESTER B.TECH DEGREE EXAMINATION(R&S), MAY 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 Compare the effects of P, PI and PID controllers on the closed (5)

loop system performance in terms of rise time, peak overshoot,

settling time, steady state error and stability.

2 What are the effects of Lag and Lead compensators on the system (5)
performance?

3 Explain the terms (i) state (ii) state variables (iii) state vector (iv) (5)
state space (v) state trajectory of a system.

4 What is pulse transfer function? Derive the transfer function of a (5)
ZOH circuit.

5 State any five characteristics of Nonlinear systems. (5)

6 Define Describing function. Explain how describing function can (5)

be used for stability analysis of nonlinear systems.

7 Define Singular point. Explain the nature of Eigen values of (5)
system matrix for any five types of singular points.

8 Explain Liapunov second method of stability for nonlinear (5)
systems.

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

9 A unity feedback system has an open loop transfer function G(S) (10)
= K/[S(1+2S)]. Design a suitable lag compensator so that phase
margin is 40° and the velocity error constant is 5.

10 Design a lead compensator for a unity feedback system with open (10)
loop transfer function G(S) = K/[S(S+8)] to satisfy the following
specifications. (1) Percentage overshoot = 9.5% (2) Natural
frequency of oscillation=12 rad/sec (3) Velocity error constant 2

10.
11 a) Explain the Ziegler-Nichols method of tuning a PID controller. (6)
b) What is meant by series compensation and feedback compensation (4)

in control systems?
PART C
Answer any two full questions, each carries 10 marks.

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