Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 4th Sem Old 141701 Control Theory Previous Question Paper
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV (OLD) EXAMINATION ? WINTER 2018
Subject Code:141701 Date: 10/12/2018
Subject Name: Control Theory
Time: 02:30 PM TO 05:00 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) State and explain Open loop and Closed loop control systems. Also, compare
their merits and demerits.
07
(b) Using block diagram reduction technique find the closed loop transfer function
of the system whose block diagram is given in figure 1.
Figure 1
07
Q.2 (a) Define Following Terms:
(I) Transfer Function (II) State (III) Self Loop (IV) Source Node (V) Rise Time
(VI) Delay Time (VII) Peak Time
07
(b) A unity feedback system is characterized by open loop transfer function ?? (?? ) =
?? ?? (?? + 8) ? . Determine gain ?? so that system will have damping ration of 0.7.
07
OR
(b) A system has transfer Function ?? (?? )/?? (?? ) = 10 / ?? + 2. Determine its unit
impulse, step and ramp response with zero initial conditions. Sketch the response.
07
Q.3 (a) What is analogous system? Explain Force-Voltage and Force-Current Analogy
with suitable example.
07
(b) A coupled spring-mass system is shown in the figure 2. Obtain the differential
equations describing the system.
Figure 2
07
OR
Q.3 (a) Describe Correlation between transfer function and state-space equations with
suitable example.
07
(b) Obtain a state-space representation of the system shown in figure 3.
Figure 3
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV (OLD) EXAMINATION ? WINTER 2018
Subject Code:141701 Date: 10/12/2018
Subject Name: Control Theory
Time: 02:30 PM TO 05:00 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) State and explain Open loop and Closed loop control systems. Also, compare
their merits and demerits.
07
(b) Using block diagram reduction technique find the closed loop transfer function
of the system whose block diagram is given in figure 1.
Figure 1
07
Q.2 (a) Define Following Terms:
(I) Transfer Function (II) State (III) Self Loop (IV) Source Node (V) Rise Time
(VI) Delay Time (VII) Peak Time
07
(b) A unity feedback system is characterized by open loop transfer function ?? (?? ) =
?? ?? (?? + 8) ? . Determine gain ?? so that system will have damping ration of 0.7.
07
OR
(b) A system has transfer Function ?? (?? )/?? (?? ) = 10 / ?? + 2. Determine its unit
impulse, step and ramp response with zero initial conditions. Sketch the response.
07
Q.3 (a) What is analogous system? Explain Force-Voltage and Force-Current Analogy
with suitable example.
07
(b) A coupled spring-mass system is shown in the figure 2. Obtain the differential
equations describing the system.
Figure 2
07
OR
Q.3 (a) Describe Correlation between transfer function and state-space equations with
suitable example.
07
(b) Obtain a state-space representation of the system shown in figure 3.
Figure 3
07
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2
Q.4 (a) Explain two position ON-OFF control action with example. 07
(b) Determine range of ?? for system stability for the characteristic equation of
feedback system is ?? 4
+ 20?? 2
+ 15?? 2
+ 2?? + ?? = 0.
07
OR
Q.4 (a) State and explain the Nyquist stability criterion use to determine system stability. 07
(b) Sketch the Bode plot for the transfer function ?? (?? ) =
10 ?? (1 + 0.5?? )(1 + 0.01?? ) ? . Also, determine Gain margin, Phase margin and
comment on system stability.
07
Q.5 (a) Define: Root locus, Frequency response, Gain margin, Phase margin, Polar plot,
Bode plot, Break-in point.
07
(b) Draw the Nyquist plot for G(s) = 1 s(s ? 1) ? and comment on system stability. 07
OR
Q.5 (a) State and explain the Nyquist stability criterion use to determine system stability. 07
(b) Sketch the Root locus plot for the unity feedback system having
?? (?? ) = ?? /?? (?? + 2)(?? + 4) .
07
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This post was last modified on 20 February 2020