A magnetic disk drive requires a motor to position a read/write head over tracks of data on

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A magnetic disk drive requires a motor to position a read/write head over tracks of data on a spinning disk, as shown in Figure E4.4. The motor and head may be represented by the transfer functionwhere  Ƭ = 0.001 s. The controller takes the difference of the actual and desired positions and generates an error. This error is multiplied by an amplifier K. 

(a) What is the steady-state position error for a step change in the desired input? 

(b) Calculate 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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Modern Control Systems

ISBN: 9780134407623

13th Edition

Authors: Richard C. Dorf, Robert H. Bishop

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