(Solved): Assume that a unity feedback system with the feedforward transfer function shown below is operatin ...

Assume that a unity feedback system with the feedforward transfer function shown below is operating at $$15\%$$ overshoot. Do the following: $$G(s)=\frac{K}{s(s+7)}$$ d) Evaluate the settling time of the system e) Design a lead compensator to decrease the settling time by 3 times. Assume that the lead zero is placed at -10 . Write the transfer function for your system, show the root locus for the compensated system, and show the response to a step input.