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2012 METU Lecture 5 Control of Smart Systems - Department of ...

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Computer Hard Disc Drive - Transfer Function<br />

Using Newton's law, a simple model for the read/write head is the<br />

differential equation:<br />

where J is the inertia <strong>of</strong> the head assembly, C is the viscous damping<br />

coefficient <strong>of</strong> the bearings, K is the return spring constant, Ki is the<br />

motor torque constant, θ is the angular position <strong>of</strong> the head, and i is<br />

the input current.<br />

Taking the Laplace transform, the transfer function from i to θ is<br />

Using the values J = 0.01 kg m 2 , C = 0.004 Nm/(rad/sec), K = 10 Nm/<br />

rad, and Ki = 0.05 Nm/rad, form the transfer function description <strong>of</strong> this<br />

system.<br />

Transfer function:<br />

72

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