A control system with negative unity feedback has a process G(s) 400/s(s + 40) and we wish to use proportional plus integral compensation, where Gc(s) = KP + K1/ s Note that the steady-state error of this system for a ramp input is zero, (a) Set K/ = 1 and find a suitable value of KP so the step response will have an overshoot of approximately 20%. (b) What is the expected settling time (within 2% settling criterion) of the companseted system.

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A control system with negative unity feedback has a process G(s) 400/s(s + 40) and we wish to use proportional plus integral compensation, where Gc(s) = KP + K1/ s Note that the steady-state error of this system for a ramp input is zero, (a) Set K/ = 1 and find a suitable value of KP so the step response will have an overshoot of approximately 20%. (b) What is the expected settling time (within 2% settling criterion) of the companseted system.

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