1. A unity feedback control system has the plant transfer function Design a PID controller of the form G c (s) = K p + K D s + so that the closed-loop system has a settling time less than 1 second to...

1. A unity feedback control system has the plant transfer function

Design a PID controller of the form

G_c(s) = K_p
+ K_Ds +

so that the closed-loop system has a settling time less than 1 second to a unit step input.

2. Consider the system shown in Figure E10.20. Design the proportional-derivative controller G_c(s) = K_P
+ K_Ds such that the system has a phase margin of P.M.
 45°