Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015...
Transcript of Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015...
![Page 1: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/1.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 1
Q.2 a. Explain servomechanism (Position control system). (8)
Answer:
b. Write differential equation for mechanical translational system shown in
fig.2. Also draw analogous system for this using force-voltage analogy. (8)
![Page 2: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/2.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 2
Answer:
K1 B1
x1
![Page 3: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/3.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 3
Q.3 a. Find transfer function
)s(R)s(C of the system shown in fig.3 by block diagram
reduction method. (8)
Answer:
![Page 4: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/4.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 4
b. Find transfer function )s(R)s(C of the system given in part (a) using Mason’s
gain formula. (8)
![Page 5: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/5.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 5
Answer:
Q.4 a. Discuss effect of parameter variation in: (i) Open loop system (ii) Closed loop system (8) Answer:
![Page 6: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/6.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 6
![Page 7: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/7.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 7
b. Explain effect of feedback on disturbances in forward path of control system (8)
Answer:
Q.5 a. Determine error constants & corresponding steady state error for a system
with
G(s) = 1)s(H&)s01.01)(s21(s
100=
++ (8)
![Page 8: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/8.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 8
Answer:
b. A unity feedback system is shown in Fig.4 (8)
Fig.4
(i) Determine range of K for stable system (ii) Value of K when roots of system lie on jw axis (iii) Frequency of sustained oscillations
![Page 9: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/9.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 9
Answer:
![Page 10: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/10.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 10
Q.6 Draw root locus as k varied from 0 to ∞ for unity feedback system has an
open-loop transfer function G(s)H(s) = )2s2s)(3s(s
K2 +++
(16)
Answer:
![Page 11: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/11.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 11
![Page 12: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/12.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 12
Q.7 a. For a unity feedback system G(s) = )40s)(10s(s
)2s(8002 ++
+ (8)
Draw the Bode plot. Find out Wgc, Wpc, GM and PM. Comment on stability.
Answer:
![Page 13: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/13.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 13
![Page 14: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/14.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 14
![Page 15: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/15.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 15
b. Discuss the stability of system using nyquist plot for G(s)H(s) = )2s)(4s(s
20−+
(8) Answer:
![Page 16: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/16.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 16
![Page 17: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/17.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 17
Q.8 A system has open loop transfer function G(s) = )1s2(s
4+
. It is desired to
have the phase margin as 40°. Design a lead compensator to meet desired specifications using Bode plot. (16)
Answer:
![Page 18: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/18.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 18
![Page 19: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/19.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 19
Q.9 a. Explain direct method of Liapunov for linear system. (8)
Answer:
![Page 20: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/20.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 20
b. Obtain state space model of electric network shown in Fig.5. (8)
![Page 21: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/21.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 21
Fig.5
Assume Voltage & Current in R2 as Output Variables. Answer:
![Page 22: Q.2 a. Explain servomechanism (Position control system). (8)AE61/AE109 CONTROL ENGINEERING DEC 2015 © IETE 1 Q.2 a. Explain servomechanism (Position control system). (8) ... AE61/AE109](https://reader034.fdocuments.in/reader034/viewer/2022042710/5f61f899e4d0f06c1e5214ab/html5/thumbnails/22.jpg)
AE61/AE109 CONTROL ENGINEERING DEC 2015
© IETE 22
TEXT-BOOK
I. Control Systems Engineering, I.J. Nagrath and M. Gopal, Fifth Edition (2007 New Age International Pvt. Ltd