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For the unity feedback system shown in the figure below c(s)=K,G(s)=(10)/(s^(2)+7s+10) calculate, if possible, these P -controllers:
1). Define a P-controller c(s)=K_(1) that makes the Error steady state less than 25 for input r(t)=50u(t) ?
2). Define another P-controller c(s)=K_(2) that makes the overshoot less that 20% and the settling time 1.25 seconds?
3). Define another P-controller c(s)=K_(3) that makes the overshoot =0 and the settling time 10 milli-seconds? 