For the given poles and zeros of an open-loop transfer function, choose the correct real-axis root-locus. Write a, b, c or d

In

order to change the behavior of a 2nd

order underdamped system, we need to move its closed-loop poles on the

s-plane as shown. With

this move, what happened to

Find the steady-state error of this system when a unit-ramp input is applied.

In

order to stabilize the system, we use a

Determine the range of K  in the PD controller that makes the system stable. (K is always positive)

We added the shown PI controller to reduce the steady-state error of this system to become e_ss = 0.4 for a unit ramp input. Determine K_i that allows us to do that. Hint: start by finding the static velocity constant Kv.

To stabilize the following system a PD controller was added. Design the PD controller (i.e. calculate Kd) when zeta=0.45.

Determine the transfer function

of this system by reducing its shown block diagram.

Determine the transfer function of this system by reducing its shown block diagram.

Obtain the transfer

function Y(s)/U(s) of

the system defined by the following state-space representation:

Determine

the state-space model of the system given by the following transfer function: