Solved: Consider the PD control system shown in Figure

Chapter , Problem 10.44

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Consider the PD control system shown in Figure 10.7.1. Suppose that I = 20 and c = 10. The specifications require the steady-state error due to a unit-step command to be zero and the steady-state error due to a unit-step disturbance to be no greater than 0.1 in magnitude. In addition, we require that the time constant be \(\tau = 0.1\).

Compute the required values of the gains, and evaluate the resulting damping ratio.

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