Question: Problem 2 Consider open loop plantG ( s ) = 2 0 0 0 K ( s + 1 0 ) 2 ( s +

Problem 2Consider open loop plantG(s)=2000K(s +10)2(s +20)and unity feedback.a. Find K such that overshoot is 20%.b. Design a PI controller with the same 20% overshoot such that steady state error is 0, with Ts 1sec.c. Hand sketch the root locus for the original system and the system with a PI compensator, andverify with Matlab.d. Use Matlab to compare the step response for the closed-loop compensated and uncompensatedsystems, transient and steady state response.e. Find the steady state error for a step for both systems

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