1. Let I=10 and c=3 in the PD control system shown. The performance

specifications require that t=1 and 3=0.707. Given,

K,=5, K,=20, K₂=17

a. From the output equation, what observations can you make regarding the system and the nature of the output response?

b. Use matlab to plot the output 8(t) for a unit-ramp command input.

c. What is the steady-state error of the output due to a unit-ramp command input?

d. Use matlab to plot the output 8(t) for a unit-step command input

e. For the unit-step command output what is the peak value and how long did it take to get to that peak value?