Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 7th Sem New 2172007 Modern Control Systems Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VII (NEW) EXAMINATION ? WINTER 2018
Subject Code: 2172007 Date: 03/12/2018
Subject Name: Modern Control Systems
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) Using suitable block diagram, explain ON-OFF control systems. 03
(b) Using suitable block diagrams, explain disturbance signals and their effects
on the control systems?
04
(c) List various characteristics of feedback control systems and explain any two
of them using block diagram and mathematical equations.
07
Q.2 (a) Define (i) centroide (ii) asymptotes (iii) dominant pole 03
(b) How locations of closed-loop pole decide the transient response of the
system? Explain using suitable examples.
04
(c) What is lag compensator? What are the effects of lag compensator? Explain
design steps for design of lag compensator using root locus technique.
07
OR
(c) For the control system represented by block diagram in Figure 1, design a
lead compensator using root locus technique, such that wn=4 rad/sec and
damping ratio= 0.5 for the compensated system.
07
Q.3 (a) List the advantages of frequency domain analysis of a control system. 03
(b) With suitable diagrams define (i) Phase crossover frequency (ii) Gain
crossover frequency (iii) Phase margin (iv) gain margin.
04
(c) A unit step input is applied to a unity feedback control system having open
loop transfer function
?? ?? ( 1 + ???? )
Determine the value of K and T to have Mp=20% and resonant frequency
wr= 6 rad/sec. Calculate the resonant peak (Mr).
07
OR
Q.3 (a) List various effects of adding a pole in a given control system. 03
(b) Explain various effects of phase lead compensation. 04
(c) Explain design procedure to design phase lead compensation using bode plot
technique.
07
Q.4 (a) List the advantages of state space approach of analyzing the control systems. 03
(b) Draw and explain block diagram of a linear system in state variable form for 04
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VII (NEW) EXAMINATION ? WINTER 2018
Subject Code: 2172007 Date: 03/12/2018
Subject Name: Modern Control Systems
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) Using suitable block diagram, explain ON-OFF control systems. 03
(b) Using suitable block diagrams, explain disturbance signals and their effects
on the control systems?
04
(c) List various characteristics of feedback control systems and explain any two
of them using block diagram and mathematical equations.
07
Q.2 (a) Define (i) centroide (ii) asymptotes (iii) dominant pole 03
(b) How locations of closed-loop pole decide the transient response of the
system? Explain using suitable examples.
04
(c) What is lag compensator? What are the effects of lag compensator? Explain
design steps for design of lag compensator using root locus technique.
07
OR
(c) For the control system represented by block diagram in Figure 1, design a
lead compensator using root locus technique, such that wn=4 rad/sec and
damping ratio= 0.5 for the compensated system.
07
Q.3 (a) List the advantages of frequency domain analysis of a control system. 03
(b) With suitable diagrams define (i) Phase crossover frequency (ii) Gain
crossover frequency (iii) Phase margin (iv) gain margin.
04
(c) A unit step input is applied to a unity feedback control system having open
loop transfer function
?? ?? ( 1 + ???? )
Determine the value of K and T to have Mp=20% and resonant frequency
wr= 6 rad/sec. Calculate the resonant peak (Mr).
07
OR
Q.3 (a) List various effects of adding a pole in a given control system. 03
(b) Explain various effects of phase lead compensation. 04
(c) Explain design procedure to design phase lead compensation using bode plot
technique.
07
Q.4 (a) List the advantages of state space approach of analyzing the control systems. 03
(b) Draw and explain block diagram of a linear system in state variable form for 04
2
MIMO system.
(c) A system is described by the following differential equation. Represent the
system in state space.
?? 3
?? ????
3
+ 3
?? 2
?? ????
2
+ 4
????
????
+4x= ?? 1
( ?? )+3?? 2
( ?? )+4 ?? 3
( ?? )
And outputs are:
?? 1
= 4
????
????
+3 ?? 1
?? 2
=
?? 2
?? ????
2
+4?? 2
+ ?? 3
07
OR
Q.4 (a) Define (i) state variables (ii) state vector (iii) state space 03
(b)
Compute state transition matrix for A= (
? 1 1
0 2
)
04
(c) Explain Taylor series expansion for computing the state transition matrix. 07
Q.5 (a) For sampled data control system, explain the effect of sampling period on
steady state error.
03
(b) Derive solution of state equation using Laplace transform method 04
(c) Using suitable block diagram, explain sampling process of a continuous time
system.
07
OR
Q.5 (a) Explain observability for a state space system using suitable block diagram. 03
(b) Using suitable block diagram, explain pulse transfer function of systems in
series.
04
(c) Determine the stability of a sampled data control system having following
characteristic polynomial
2?? 4
+ 3 ?? 3
+ 2 ?? 2
? ?? + 1 = 0
07
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This post was last modified on 20 February 2020