Question: Analog proportional-derivative controllers sometimes are formulated with a transfer function of the form: where ? = 0.05 to 02. The ideal PD transfer function is

Analog proportional-derivative controllers sometimes are formulated with a transfer function of the form:where ? = 0.05 to 02. The ideal PD transfer function is obtained when ? = 0. G1(s) = Kc(?DS + 1)(a) Analyze the accuracy of this approximation for step and tamp responses. Treat a as a parameter and let ? ? 0.(b) Why might it be difficult to construct an analog device with exactly this ideal transfer function?(c) Is there any advantage in not being able to obtain the ideal transfer function?

TOS +1 aTps +1, Ga(s) =

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