# Download GTU B.Tech 2020 Summer 4th Sem 2141004 Control System Engineering Question Paper

Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Summer 4th Sem 2141004 Control System Engineering Previous Question Paper

Seat No.: ________
Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER? IV EXAMINATION ? SUMMER 2020
Subject Code: 2141004 Date:29/10/2020
Subject Name: CONTROL SYSTEM ENGINEERING
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

Q.1 a. Draw the equivalent mechanical system for the system shown in figure 1. 3
Also write the set of equilibrium equations for it.
Figure 1
b. Define the following terms:
4
1. Transfer function.
2. Characteristic equation.
3. Order of the system.
4. Type of the system.
c. Discuss open loop control system and closed loop control system with 7
suitable examples.
Q.2 a. In F-V analogy
3
1. Mass is analogous to__________.
2. Friction is analogous to ________.
3. Spring of c
onstant k is analogous to __________.
b. Explain Mason's Gain Formula.
4
c. Determine the transfer function for the system shown in figure 2.
7
Figure 2
OR
c. Obtain the block diagram for the electrical network shown in figure 3.
7

Figure 3
Q.3 a. Define the following test signals.
3
1. Unit Impulse
2. Unit Step
3. Unit Ramp
b. Discuss the effect of feedback on system gain and stability.
4
c. Derive the expression of a second order control system subjected to unit 7
step signal.
OR
Q.3 a. Define the following terms with respect to a second order system subjected
3
to unit step signal.
1. Rise time
2. Peak time
3. Settling time
b. Discuss the effect of adding a pole to a closed loop transfer function.
4
c. Derive the expressions for error constants Kp , Kv and Ka corresponding 7
to step, ramp and parabolic input respectively.
Q.4 a. 1. In a system, for a bounded input output is also bounded. The system is said 3
to be ____________.
2. In a system, two poles are on the negative real axis and one pair of poles
lies on j axis. The system is said to be__________.
3. In a system, repeated roots are placed on imaginary axis. The system is said to be
__________.
b. State advantages and limitations of Routh's stability criterion
4
c.
4
7
For a unity feedback system G(s)
,the system is marginally
2
s(s qs 2k)
stable and oscillates with frequency 4 rad/sec. Find kmar and q.
OR
Q.4 a. Define the following terms:
3
1. Stable system
2. Unstable system
3. Marginally stable system
b. Discuss Hurwitz's stability criteria.
4
c. Explain the r
ules for the construction of Root Locus.
7
Q.5 a. Discuss briefly PID controller.
3
b. Discuss Nyquist criteria for stability.
4
c. A second order system has overshoot of 50% and period of oscillations 0.2 7
second in step response. Determine resonant peak and resonant frequency.
OR
Q.5 a. Compare time response and phase response of the system.
3
b. Define the following with respect to Bode Plot:
4
1. Gain cross over frequency
2. Phase cross over frequency
3. Gain Margin
4. Phase Margin
c. Write a short note on state space representation of a control system.
7
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