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Assignment 4 - PI/README.md
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@ -2,7 +2,7 @@
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
This program run in Matlab
This program ran in Matlab
## Variables
`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 = 3;
% Ki = 5;
Ki = 7;
Ki = 7;
% Ki = 9;
```
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
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 |
| Settling Time | 40.3716 | 12.1907 | 6.3158 | 3.6779 | 3.6779 |
| Overshoot | 0 | 0 | 0 | 0.3523 | 0 |
| 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.
## Additional Testing
For Kp = 50
| Parameter | Ki = 0 | Ki = 5 |
| Param | Ki = 0 | Ki = 5 |
|--- |--- |--- |
| Rise Time | 0.1201 | 0.1415 |
| Settling Time | 0.6376 | 29.5503 |
| Overshoot | 19.6150 | 6.1627 |
| 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
Contact nanda.r.d@mail.ugm.ac.id for more information
### Links