Hall Ticket No Question Paper Code: AEE009
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
B.Tech IV Semester End Examinations (Supplementary) July, 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. Differentiate between open loop and closed loop control systems.
For the mechanical system shown in Figure write the equilibrium equation and draw an equivalent
diagram based on force-voltage analogy.
Figure 1
2. What are the elements of translation and rotational mechanical systems, Write the required
equations.
For the rotational mechanical system given in Figure write equilibrium equations and draw an
equivalent diagram based on torque-current analogy.
Figure 2
UNIT II
3. Differentiate between positive feedback and negative feedback systems.
Find the dynamic error coefficient of the unity feedback systems whose forward transfer function
is Find the steady state error to the polynomial input a0 a1t a2t2.

4. Discuss all the time domain specifications with relevant waveform and equation for second order
system with unit step input.
A system is represented by the following set of equations, construct the signal flow graph and
find the closed loop transfer function.
x x1 dx1/dt x2 dx2/dt
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UNIT III
5. What is BIBO system? Explain with example.
Sketch the root locus plot for a negative feedback control system whose loop transfer function is
given by 2S
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 loop transfer function.
Determine the value of gain K
i. When of the closed loop systems is equal to 0.707.
ii. When the closed loop system has two roots on the jw-axis.
UNIT IV
7. Construct the Bode plot for a unity feedback system whose open loop transfer function is given by,
10 Find
Gain and Phase crossover frequencies.
Gain and Phase margin.
8. Differentiate between time domain and frequency domain.
Sketch the nature of Nyquist plot for the system with 1 determine
the closed loop stability.
UNIT V
9. Write a note on controllers and compensator with necessary equations and block diagram.
With a neat block diagram and equation, explain lead compensator and lag compensator

10. Write a note on state space theory used for control system analysis with necessary equations.

For the circuit shown in Figure obtain state space equations. Given as input.