Download GTU BE/B.Tech 2018 Winter 7th Sem Old 171701 Control System Design Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 7th Sem Old 171701 Control System Design Previous Question Paper

1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ?VII (OLD) EXAMINATION ? WINTER 2018
Subject Code: 171701 Date: 03/12/2018

Subject Name: Control System Design

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.

MARKS

Q.1 (a) Compare merits and demerits of Conventional control approach over
modern Control approach.
07
(b) Derive the state space model for a series RLC circuit having the
values of component as under: R= 10K ohm, L= 10mH, C=10 uF.
07
Q.2 (a) Design a suitable compensator in time domain for a transfer function
G(s) =
?? (?? 2 )
for specification as under.
Peak overshoot Mp ? 20 % , Settling time ts ? 4 sec.
10
(b) Explain the design steps of Lag compensator in time domain. 04
OR
(b) Explain the dynamics of standard second order step response of the
system like peak overshoot, rise time etc.
04
Q.3 (a) Design a suitable compensator using Bode plot for unity feedback
system to meet following performance specifications.
Acceleration error constant Ka=10 and Phase Margin ?35.

10
(b) Derive the state space model from a SISO Transfer function given
as under.
G(s) = 1/s(s+1)
04
OR
Q.3 (a) Explain with suitable example Contrability and observability. 07
(b)
Draw the bode plot of G(s)=
?? ?? (?? +1)(?? +4)
for Kv=5 and find out gain
margin and phase margin.
07
Q.4 (a) State and prove linearity and time reversal properties of z transform. 06
(b) Find out the z transform for
1. Unit step
2. X(n) =(coswn) * u(n)
08
OR
Q.4 (a) State and prove time scaling and differentiation properties of z
transform.
06
(b)
Find the inverse z transform for x(z)=
1
1?1.5?? ?1
+0.5?? ?2

08
Q.5 (a) Check the controllability and observability of the system given
with state matrices as

?
?
?
?
?
?
?
?
?
?
? ? ?
?
5 3 2
1 0 0
0 1 0
A ,
?
?
?
?
?
?
?
?
?
?
?
1
0
0
B , ? ? 0 0 1 ? C
10
(b) State and prove the properties of state transition matrix. 04
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1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ?VII (OLD) EXAMINATION ? WINTER 2018
Subject Code: 171701 Date: 03/12/2018

Subject Name: Control System Design

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.

MARKS

Q.1 (a) Compare merits and demerits of Conventional control approach over
modern Control approach.
07
(b) Derive the state space model for a series RLC circuit having the
values of component as under: R= 10K ohm, L= 10mH, C=10 uF.
07
Q.2 (a) Design a suitable compensator in time domain for a transfer function
G(s) =
?? (?? 2 )
for specification as under.
Peak overshoot Mp ? 20 % , Settling time ts ? 4 sec.
10
(b) Explain the design steps of Lag compensator in time domain. 04
OR
(b) Explain the dynamics of standard second order step response of the
system like peak overshoot, rise time etc.
04
Q.3 (a) Design a suitable compensator using Bode plot for unity feedback
system to meet following performance specifications.
Acceleration error constant Ka=10 and Phase Margin ?35.

10
(b) Derive the state space model from a SISO Transfer function given
as under.
G(s) = 1/s(s+1)
04
OR
Q.3 (a) Explain with suitable example Contrability and observability. 07
(b)
Draw the bode plot of G(s)=
?? ?? (?? +1)(?? +4)
for Kv=5 and find out gain
margin and phase margin.
07
Q.4 (a) State and prove linearity and time reversal properties of z transform. 06
(b) Find out the z transform for
1. Unit step
2. X(n) =(coswn) * u(n)
08
OR
Q.4 (a) State and prove time scaling and differentiation properties of z
transform.
06
(b)
Find the inverse z transform for x(z)=
1
1?1.5?? ?1
+0.5?? ?2

08
Q.5 (a) Check the controllability and observability of the system given
with state matrices as

?
?
?
?
?
?
?
?
?
?
? ? ?
?
5 3 2
1 0 0
0 1 0
A ,
?
?
?
?
?
?
?
?
?
?
?
1
0
0
B , ? ? 0 0 1 ? C
10
(b) State and prove the properties of state transition matrix. 04
2
OR
Q.5 (a) Explain robust PID controller. 07
(b) Explain optimal control system. 07

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