Hall Ticket No Question Paper Code: AEE009
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
B.Tech IV Semester End Examinations(Regular) May, 2018
Regulation: IARE R16
CONTROL SYSTEMS
Time: 3 Hours (Common to ECE EEE) Max Marks: 70
Answer ONE Question from each Unit
All Questions Carry Equal Marks
All parts of the question must be answered in one place only
UNIT I
1. Classify different types of control systems with examples?
Derive the transfer function of the network given in Figure 1.
Figure 1
2. What are the basic elements of translational and rotational mechanical systems and also write
the required mathematical equations.
For the rotational mechanical system given in Figure write the equilibrium equations and draw
an equivalent diagram based on torque-current analogy.
Figure 2
UNIT II
3. Reduce the block diagram given in Figure 3 by block diagram reduction technique and determine
the transfer function.
Figure 3
Page 1 of 3
Find of the signal flow graph given in Figure 4 by Manson's gain formula.
Figure 4
4. Derive the unit step response of the second order system for underdamped case?
Find Kp, Kv, Ka and steady state error for a system with open loop function as
H
where input is 3 t t2.
UNIT III
5. What is BIBO system? Explain with example.
The open loop transfer function of the feedback system is H
Parameters
K and T represents on a plane with K on x axis and T on y axis. Determine region in which
a closed loop system is stable.
6. Determine the stability of following cases, which represent characteristic equations of two different
control system.
i. S5 S4 2S3 2S2 3S 5 0
ii. S6 2S5 8S4 12S3 20S2 16S 16 0

A positional servomechanism is characterized by an open loop transfer function

i. The value of the gain K when of the closed loop system is equal to 0.707.
ii. The value of the gain K when the closed loop system has two roots on the jw-axis.

UNIT IV
7. Explain what are the advantages and limitations of frequency domain approach?
The open loop transfer function of the feedback system is given by

Comment on stability by using Nyquist plot?
8. Differentiate between time domain and frequency domain.
Sketch the nature of Nyquist plot for the system with 1 Determine
gain margin and phase margin.
Page 2 of 3
UNIT V
9. A linear dynamic time invariant system is represented by A Where
find the system is completely controllable.
With a neat block diagram and equation, explain
i. Lead compensator
ii. Lag compensator
10. Consider the transfer function Y
2S2+2S+5
S3+6S2+11S+4 Obtain the state equation by direct
decomposition method.
The vector matrix differential equation describes the dynamics of the system
5 U and y Determines the state transition matrix and
transfer function of the system.