Question: 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.

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 function G(s) = 100 S(TS + 1)' where 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.

G(s) = 100 S(TS + 1)'

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