Q3 A magnetic disk drive requires a motor to position a read/write head over tracks of data on a spinning disk. The motor and head may be represented by the transfer function: 10 G(s) s(ts + 1) Where t = 0.001 second. The controller takes the difference of the actual and desired positions and generates an error. This error is multiplied by an amplifier K. (1). Evaluate the steady-state position error for a step change in the desired input; (ii). Estimate the required K in order to yield a steady-state error of 0.1 mm for a ramp input of 10 cm/s.
Q3 A magnetic disk drive requires a motor to position a read/write head over tracks of data on a spinning disk. The motor and head may be represented by the transfer function: 10 G(s) s(ts + 1) Where t = 0.001 second. The controller takes the difference of the actual and desired positions and generates an error. This error is multiplied by an amplifier K. (1). Evaluate the steady-state position error for a step change in the desired input; (ii). Estimate the required K in order to yield a steady-state error of 0.1 mm for a ramp input of 10 cm/s.
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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Transcribed Image Text:Q3 A magnetic disk drive requires a motor to position a read/write head over tracks
of data on a spinning disk. The motor and head may be represented by the
transfer function:
10
G(s)
s(ts + 1)
Where t = 0.001 second. The controller takes the difference of the actual and
desired positions and generates an error. This error is multiplied by an amplifier
K.
(1). Evaluate the steady-state position error for a step change in the desired
input;
(ii). Estimate the required K in order to yield a steady-state error of 0.1 mm
for a ramp input of 10 cm/s.
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