(Solved): 3. Design a lead compensator for a unity negative feedback system with a forward transfer function ...

3. Design a lead compensator for a unity negative feedback system with a forward transfer function of $G(s)=\frac{K}{s(s+3)(s+6)}$ to meet the following specifications: percent overshoot $=20\%$; settling time $=2$ seconds. Specify the required gain, $K$. Estimate the validity of the second-order approximation. 4. What is the total angular contribution of the lead compensator of Prelab 3 ? 5. Determine the pole and zero of two more lead compensators that will meet the requirements of Prelab 3. 6. What is the expected steady-state error for a step input for each of the lead-compensated systems? 7. What is the expected steady-state error for a ramp input for each of the lead-compensated systems?