[Solved] Lab Sessions 03 Control System EE373

Lab Session 03 Exercise:

Question 1:

Obtain the state space representation for the system shown below. Solve the resulting state equations using MATLAB ode45 function (write complete script). Plot the position x_a(t) and velocity v_a(t) for Mass M₁ and position x_b(t) and velocity v_b(t) for Mass M₂ of the system with respect to time for t = 0 to 400 sec considering the following cases and write in your words about what you observed by looking at different plots. (Attach plot under each case).

[Use separate A4 sheets for plots and attach it with this document]

Case 1: M₂ = M₁ = 750

B₁ = B₂ = 20

K₁ = K₂ = 15 B₃ = 30 f = 300

Case 2:

Change the value of M₁ from 50 to 650 with a step size of 200 and record your observation. Attach all the plots while changing values of M₁. Keep other parameters to be same as in Case 1.

Case 3:

Change the value of M₂ from 50 to 650 with a step size of 200 and record your observation. Attach all the plots while changing values of M₂. Keep other parameters to be same as in Case 1.

Case 4:

Change the value of B₁ from 5 to 20 with a step size of 5 and record your observation. Attach all the plots while changing values of B₁. Keep other parameters to be same as in Case 1.

Case 5:

Change the value of B₂ from 5 to 20 with a step size of 5 and record your observation. Attach all the plots while changing values of B₂. Keep other parameters to be same as in Case 1.

Case 6:

Change the value of B₃ from 10 to 30 with a step size of 10 and record your observation. Attach all the plots while changing values of B₃. Keep other parameters to be same as in Case 1.