Question

Matlab Simulink

please list all the steps

Extra Credit: Simulink Disturbance Analysis D(s) Controller Plant Gp(s) Ge REs 92.9s213.63s 1 97.6s (0.1s + 1) 127 s(s +1)(s +2)(s 5) (s 10) Ge(s) Gp (s) The controller for the system above was designed to accurately track a variety of input signals for the given plant/process. Verify that the feedback system is well suited to this task by creating a model in Simulink and performing the following: 1. Create a model to: Plot the response (from 0 to 300 seconds) to a unit-step reference input, r(t)-1, applied at t-0, and (on the same graph) a disturbance d(t) 0.25 applied at t-150 seconds. Confirm that the steady-state error due to unit-step reference input and step disturbance is equal to zero. 2. Create a new model (by modifying the model from (1)) to: Plot the response (from 0 to 200 seconds) to a unit-ramp reference input, r(t)-t, applied at tso, and (on the same graph) a ramp disturbance d(t)-0.25t applied at t# 100 seconds. Confirm that the steady-state error due to ramp reference input and ramp disturbance is equal to zero. 3. Create a new model (by modifying the model from (2)) to: Plot the response (from 0 to 200 seconds) to a unit-parabola reference input, r(t)-0.5t2, applied at t-0, and (on the same graph) a parabolic disturbance d(t)-0.1 25t2 applied at t-100 seconds. Confirm that the steady-state error due to parabolic reference input and parabolic disturbance is finite (non-zero). Create a report including the Simulink model and the scope output for each of the three scenarios. Clearly label the models, figures, and data presented.

Answer 1

Question 1:

MATLAB code to plot:

figure;plot(tout,simout,'linewidth',2);grid on;xlabel('time');ylabel('Amplitude');title('step response for input and disturbance');

response is plotted below:

It is observed that the response has reached a value of unit step input which is same as the input even after the disturbance.

Question 2:

Ramp reference:

MATLAB code to plot:

figure;plot(tout,simout,'linewidth',2);grid on;xlabel('time');ylabel('Amplitude');title('ramp input response with ramp disturbance');legend('ramp input','response');

response:

It is observed that the response has matched with unit ramp which is same as the input even after the disturbance.

Question 3:

parabolic input response:

MATLAB code to plot:

figure;plot(tout,simout,'linewidth',2);grid on;xlabel('time');ylabel('Amplitude');title('Unit parabola input response with parabolic disturbance');legend('Unit parabola input','response');

response is plotted below:

It is observed that the response has matched with unit parabolic input even after the disturbance is applied.