Project - Position control of mass spring damper system

1.)

• Obtained the transfer function of a mass spring damper system and used it in the model. Also added a PID controller to adjust the force on mass so that its position follows a reference signal.
• m = 3.6 kg
• k = 400 N/m
• c = 100 Ns/m
• The reference signal is shown in the question.
• The simulink model for the above conditions are as follows:

• The matlab script to run the above simulink model is

• The workspace is shown below

• The values of Kp & Kd are found out using the quations in the matlab script, while the value of Ki is given manually, and verified for different values of Ki.
• When Ki=0

• Ki=1

• Ki=10

• Ki=100

• Ki=500

• Ki=1000

• The supporting documents have been uploaded.