Design a PI compensator for the position control system shown in Fig P 8 15, to achieve the following design goals (i) Steady state error for ramp input 0 0 (ii) Peak overshoot for step input 9 48 9 48 Use frequency response approach R(s) Pre amplifier K Power amplifier 100 s 100 Motor and load 1 s 40 Shaft velocity Shaft 1 position Y(s)

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Question: Design a PI compensator for the position control system shown in Fig. P 8.15, to achieve the following design goals: (i) Steady state error for

Design a PI compensator for the position control system shown in Fig. P 8.15, to achieve the following design goals:
(i) Steady state error for ramp input $= 0$
(ii) Peak overshoot for step input $= 9.48 %$
Use frequency response approach.

R(s) Pre-amplifier K Power amplifier 100 s + 100 Motor and load

R(s) Pre-amplifier K Power amplifier 100 s + 100 Motor and load 1 s + 40 Shaft velocity Shaft 1 position Y(s)

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