Active suspension systems for modern automobiles provide a comfortable firm ride. The design of an active suspension system adjusts the valves of the shock absorber so that the ride fits the conditions. A small electric motor, as shown in Figure DP5.3, changes the valve settings [13]. Select a design value for K and the parameter q in order to satisfy the ITAE performance for a step command R(s) and a settling time (with a 2% criterion) for the step response of less than or equal to 0.5 second. Upon completion of your design, predict the resulting overshoot for a step input.
Figure DP5.3
Active suspension system.

Electric motor Amplifier Ys valve posiion Command