![Given a unity feedback control system below, the plant P(s) = 54/[s(s+6)]. R(s) Y(s) (a) Use the root locus method to design lead compensator C(s) = K(s+z)/(s+p) so that the damping ratio of the 2s-order closed-loop poles meet the following requirement: 1) Damping ratio of 0.707 2) 2% settling time for step response is 1 second (b) Find the steady-state error of the resultant closed-loop system for a unit ramp input. (c) Append the lead compensator based controller with a lag compensator so that the steady-state error in (b) can be reduced by 5 times.](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2022/04/74.png?w=1170&ssl=1 "Given a unity feedback control system below, the plant P(s) = 54/[s(s+6)]. R(s) Y(s) (a) Use the root locus method to design lead compensator C(s) = K(s+z)/(s+p) so that the damping ratio of the 2s-order closed-loop poles meet the following requirement: 1) Damping ratio of 0.707 2) 2% settling time for step response is 1 second (b) Find the steady-state error of the resultant closed-loop system for a unit ramp input. (c) Append the lead compensator based controller with a lag compensator so that the steady-state error in (b) can be reduced by 5 times.")
![Given a unity feedback control system below, the plant P(s) = 54/[s(s+6)]. R(s) Y(s) (a) Use the root locus method to design lead compensator C(s) = K(s+z)/(s+p) so that the damping ratio of the 2s-order closed-loop poles meet the following requirement: 1) Damping ratio of 0.707 2) 2% settling time for step response is 1 second (b) Find the steady-state error of the resultant closed-loop system for a unit ramp input. (c) Append the lead compensator based controller with a lag compensator so that the steady-state error in (b) can be reduced by 5 times.](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2022/04/74a.png?w=1170&ssl=1 "Given a unity feedback control system below, the plant P(s) = 54/[s(s+6)]. R(s) Y(s) (a) Use the root locus method to design lead compensator C(s) = K(s+z)/(s+p) so that the damping ratio of the 2s-order closed-loop poles meet the following requirement: 1) Damping ratio of 0.707 2) 2% settling time for step response is 1 second (b) Find the steady-state error of the resultant closed-loop system for a unit ramp input. (c) Append the lead compensator based controller with a lag compensator so that the steady-state error in (b) can be reduced by 5 times.")
![Given a unity feedback control system below, the plant P(s) = 54/[s(s+6)]. R(s) Y(s) (a) Use the root locus method to design lead compensator C(s) = K(s+z)/(s+p) so that the damping ratio of the 2s-order closed-loop poles meet the following requirement: 1) Damping ratio of 0.707 2) 2% settling time for step response is 1 second (b) Find the steady-state error of the resultant closed-loop system for a unit ramp input. (c) Append the lead compensator based controller with a lag compensator so that the steady-state error in (b) can be reduced by 5 times.](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2022/04/74b.png?w=1170&ssl=1 "Given a unity feedback control system below, the plant P(s) = 54/[s(s+6)]. R(s) Y(s) (a) Use the root locus method to design lead compensator C(s) = K(s+z)/(s+p) so that the damping ratio of the 2s-order closed-loop poles meet the following requirement: 1) Damping ratio of 0.707 2) 2% settling time for step response is 1 second (b) Find the steady-state error of the resultant closed-loop system for a unit ramp input. (c) Append the lead compensator based controller with a lag compensator so that the steady-state error in (b) can be reduced by 5 times.")
Given a unity feedback control system below, the plant P(s) = 54/[s(s+6)]. R(s) Y(s) (a) Use the root locus method to design lead compensator C(s) = K(s+z)/(s+p) so that the damping ratio of the 2s-order closed-loop poles meet the following requirement: 1) Damping ratio of 0.707 2) 2% settling time for step response is 1 second (b) Find the steady-state error of the resultant closed-loop system for a unit ramp input. (c) Append the lead compensator based controller with a lag compensator so that the steady-state error in (b) can be reduced by 5 times.
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