Modern computers requires a high-accuracy

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A magnetic tape recorder transport for modern computers requires a high-accuracy, rapid-response control system. The requirements for a specific transport are as follows: (1) The tape must stop or start in 10 ms, and (2) it must be possible to read 45,000 characters per second. This system was discussed in Problem P7.11. We desire to set J = 5 x 10^-3 and K₁ is set on the basis of the maximum error allowable for a velocity input. In this case, we desire to maintain a steady-state speed error of less than 5%. We will use a tachometer in this case and set K_a = 50,000 and K₂ = 1. To provide a suitable performance, a compensator G_c(s) is inserted immediately following the photocell transducer. Select a compensator G_c(s) so that the overshoot of the system for a step input is less than 25%. We will assume that τ₁ = τ_a =0.

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