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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, = 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.

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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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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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