Example 2: By using the Z-N method, design the PID Controller for the Mass-Spring-Damping system (MSD) as shown in the figure below. Indicate the type of the system damping and calculate the damping frequency and critical damping coefficient.
OR
By using the Z-N method, calculate the parameters of the PID controller to control the Mass-Spring-Damping system (MSD) model given in the figure below. Indicate the type of the system damping and calculate the damping frequency and critical damping coefficient.
Note: M = kg, b = 10 N.s/m, and k = 20 N/m
X(t)
m
F(t)