Compare the Frequency Responses using Different Methods and Sampling Times            

Procedure

Steps to perform the simulation

  1. At first enter the coefficient values of the transfer function and sampling time T.


  2. Fig. 1. Coefficient values entry for continuous transfer function

  3. Click on 'G(s)' button to get the partial fraction form of the transfer function.




  4. Fig. 2. Partial fraction form of continuous transfer function

  5. Click on 'Discretization' dropdown-menu to get different methods.


  6. Fig. 3. Dropdown menu button to get different discretization methods

  7. Click on the desired option to select the discrete form of the system.


  8. Fig. 4. Desired option to select the discrete form

  9. Click on the 'Run' button option to get the selected discrete form of the system.


  10. Fig. 5. Run button to get the selected discrete form

  11. Results of the discretized form will be displayed for the selected method.

  12. Results of the discretized form: Transfer Function and Frequency Transfer Function by Impulse Invariance Method.


  13. Fig. 6. Discretization form by Impulse Invariance Method

  14. Results of the discretized form: Transfer Function and Frequency Transfer Function by Bilinear Transformation Method.


  15. Fig. 7. Discretization form of Bilinear Transformation Method

  16. Click on 'Frequency Response Plot' button to get the desired frequecy response plot.


  17. Fig. 8. Button to get the desired plot

  18. Click on 'Clear' button to get results for new transfer function.

  19. Click on 'Download Plot' button to download the plot.

  20. Note: Run the methods for different sampling times sequentially without clicking 'Clear' button, then click 'Compare' button to compare the responses.

  21. Note: A maximum of six frequency response experiments can be conducted and plotted for comparison.