(Solved): Figure 1: Uncompensated engine cooling system Figure 2: Compensated system c. Calculate the steady ...

Figure 1: Uncompensated engine cooling system Figure 2: Compensated system c. Calculate the steady-state error specifications for both the uncompensated and compensated systems for unit step, ramp and parabolic inputs. (10 Marks) d. Design, using computational approach a phase lead-lag compensator cascaded with the uncompensated system shown in Figure 1 that will have a \( 40 \% \) or better improvement of the settling time, at least 3 times improvement in percent overshoot. Also force the steady-state error to 15 times for a unit step input. (10 Marks) e. Using graph or table of transient and steady state response, analyze the system performance of the uncompensated and compensated systems and comment on the improvement, Provide the simulation results to prove the changes. (20 Marks) \( a=4, b=5, c=6, d=7 \), e \( =8 \)