P5.1 An important problem for television systems is the jumping or wobbling of the picture due to the move- ment of the camera. This effect occurs when the cam- era is mounted in a moving truck or airplane. The Dynalens system has been designed to reduce the ef- fect of rapid scanning motion; see Figure P5.1. A max- imum scanning motion of 25°/s is expected. Let Kg = K, = 1 and assume that Tg is negligible. (a) De- termine the error of the system E(s). (b) Determine the necessary loop gain, K.KmK,, when a 1°/s steady- state error is allowable. (c) The motor time constant is 0.40 s. Determine the necessary loop gain so that the settling time (to within 2% of the final value of v3) is less than or equal to 0.03 s.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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P5.1 An important problem for television systems is the
jumping or wobbling of the picture due to the move-
ment of the camera. This effect occurs when the cam-
era is mounted in a moving truck or airplane. The
Dynalens system has been designed to reduce the ef-
fect of rapid scanning motion; see Figure P5.1. A max-
imum scanning motion of 25°/s is expected. Let
Kg = K,
termine the error of the system E(s). (b) Determine
the necessary loop gain, K,KmK,, when a 1°/s steady-
state error is allowable. (c) The motor time constant is
0.40 s. Determine the necessary loop gain so that the
settling time (to within 2% of the final value of v3) is
less than or equal to 0.03 s.
= 1 and assume that 7, is negligible. (a) De-
Torque motor
Camera
(а)
Camera Rate gyro
Amplifier
Motor
Bellows
speed
Kg
speed
ST3
ST.
+ !
Tachometer
K,
(b)
FIGURE P5.1
Camera wobble control.
Transcribed Image Text:P5.1 An important problem for television systems is the jumping or wobbling of the picture due to the move- ment of the camera. This effect occurs when the cam- era is mounted in a moving truck or airplane. The Dynalens system has been designed to reduce the ef- fect of rapid scanning motion; see Figure P5.1. A max- imum scanning motion of 25°/s is expected. Let Kg = K, termine the error of the system E(s). (b) Determine the necessary loop gain, K,KmK,, when a 1°/s steady- state error is allowable. (c) The motor time constant is 0.40 s. Determine the necessary loop gain so that the settling time (to within 2% of the final value of v3) is less than or equal to 0.03 s. = 1 and assume that 7, is negligible. (a) De- Torque motor Camera (а) Camera Rate gyro Amplifier Motor Bellows speed Kg speed ST3 ST. + ! Tachometer K, (b) FIGURE P5.1 Camera wobble control.
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