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Assignment 4 - PI/README.md
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This dir is belong to Control System class contains with Integral Effect on Control System. This code 100% original made by my hand :), please leave some notes if you're going to use it. Thanks! This dir is belong to Control System class contains with Integral Effect on Control System. This code 100% original made by my hand :), please leave some notes if you're going to use it. Thanks!
## Software ## Software
This program run in Matlab This program ran in Matlab
## Variables ## Variables
`s = tf('s');` defines s as 'frequency domain' for transfer function and will be used further. `s = tf('s');` defines s as 'frequency domain' for transfer function and will be used further.
@ -19,7 +19,7 @@ Kp = 1;
% Ki = 1; % Ki = 1;
% Ki = 3; % Ki = 3;
% Ki = 5; % Ki = 5;
Ki = 7; Ki = 7;
% Ki = 9; % Ki = 9;
``` ```
Variable above is the constant from PI control, we're trying to varies the constant to analyze integral effect on control system Variable above is the constant from PI control, we're trying to varies the constant to analyze integral effect on control system
@ -56,23 +56,31 @@ ylim([0 3])
## Testing ## Testing
For Kp = 1 For Kp = 1
| Parameter | Ki = 1 | Ki = 3 | Ki = 5 | Ki = 7 | Ki = 9 | | Param | Ki = 1 | Ki = 3 | Ki = 5 | Ki = 7 | Ki = 9 |
|--- |--- |--- |--- |--- |--- | |--- |--- |--- |--- |--- |--- |
| Rise Time | 22.7723 | 6.7782 | 3.5914 | 2.3175 | 2.3175 | | Rise Time | 22.7723 | 6.7782 | 3.5914 | 2.3175 | 2.3175 |
| Settling Time | 40.3716 | 12.1907 | 6.3158 | 3.6779 | 3.6779 | | Settling Time | 40.3716 | 12.1907 | 6.3158 | 3.6779 | 3.6779 |
| Overshoot | 0 | 0 | 0 | 0.3523 | 0 | | Overshoot | 0 | 0 | 0 | 0.3523 | 0 |
| SSE | 1.7396e-06 | 0.0034 | 0.0033 | 0.0034 | 6.6536e-05 | | SSE | 1.7396e-06 | 0.0034 | 0.0033 | 0.0034 | 6.6536e-05 |
Notes: In theory, SSE should decrease following the increased Ki, but i suspect Matlab just can't compute too much floating point. Hence, i add two additional test with larger constant to show the effects. Notes: In theory, SSE should decrease following the increased Ki, but i suspect Matlab just can't compute too much floating point. Hence, i add two additional test with larger constant to show the effects.
## Additional Testing ## Additional Testing
For Kp = 50 For Kp = 50
| Parameter | Ki = 0 | Ki = 5 | | Param | Ki = 0 | Ki = 5 |
|--- |--- |--- | |--- |--- |--- |
| Rise Time | 0.1201 | 0.1415 | | Rise Time | 0.1201 | 0.1415 |
| Settling Time | 0.6376 | 29.5503 | | Settling Time | 0.6376 | 29.5503 |
| Overshoot | 19.6150 | 6.1627 | | Overshoot | 19.6150 | 6.1627 |
| SSE | 0.1127 | 0.0082 | | SSE | 0.1127 | 0.0082 |
## Conclusion
Based on previous tests, we conclude that by adding Integral constant :
* Risie time is **increased**
* Settling time is **increased**
* Overshoot is **decreased**
* SSE is **decreased**
### Notes ### Notes
Contact nanda.r.d@mail.ugm.ac.id for more information Contact nanda.r.d@mail.ugm.ac.id for more information
### Links ### Links