R(S) C(s) Gc(s) (s + 0.6) (s +0.58)(s + 0.02) Figure 1 Block diagram of hybrid electric vehicle (HEV) Figure 1 shows the
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R(S) C(s) Gc(s) (s + 0.6) (s +0.58)(s + 0.02) Figure 1 Block diagram of hybrid electric vehicle (HEV) Figure 1 shows the
C. Then, assume that the system specifications require zero steady-state error for step inputs, a steady-state error for ramp inputs 2% a %OS 5 4.32%, and a settling time 52. Show that the specifications cannot be achieved only with a proportional controller. Design a controller to fulfill these specifications. d Obtain the step and ramp responses of the final design in (a), (b) and (c) using MATLAB. Clearly titled and labelled your graphs. Fill in Table 1. Rename the heading of the columns, for example, uncompensated system or gain-adjusted system or PID compensated system etc. e. Comment on the validation of second order approximation of your results. Table 1 Specification System (a) System (b) System (c) Plant and compensator transfer function Dominant poles sa Крс Damping ratio Natural frequency Wn Overshoot %OS Settling time T, Peak Time Tp Position constant K Steady-state error estep (0) Velocity constant KL Steady-state error eramp (0)