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Add PI tests graph

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nandard
2022-09-12 23:50:59 +07:00
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Assignment 4 - PI/README.md
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@@ -5,7 +5,7 @@ This dir is belong to Control System class contains with Integral Effect on Cont
This program ran in Matlab
## 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.
```
J = 0.01;
b = 0.1;
@@ -63,7 +63,14 @@ For Kp = 1
| 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.
![Kp = 1, Ki = 1](https://user-images.githubusercontent.com/77116615/189711219-a3d00c73-0902-4a3f-899c-aca785cf0e6c.png)
![Kp = 1, Ki = 3](https://user-images.githubusercontent.com/77116615/189711238-016657a1-8b3d-4209-8033-192464c00bed.png)
![Kp = 1, Ki = 5](https://user-images.githubusercontent.com/77116615/189711244-acaa9905-21dc-4e80-915e-c628775a6665.png)
![Kp = 1, Ki = 7](https://user-images.githubusercontent.com/77116615/189711248-cdac4205-6511-460d-8eb8-96378564774e.png)
![Kp = 1, Ki = 9](https://user-images.githubusercontent.com/77116615/189711253-c2a2208c-fdb8-4640-b419-b2909250ed0e.png)
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 below with larger constant to show the effects.
## Additional Testing
For Kp = 50
@@ -74,6 +81,10 @@ For Kp = 50
| Overshoot | 19.6150 | 6.1627 |
| SSE | 0.1127 | 0.0082 |
![Kp = 50, Ki = 0](https://user-images.githubusercontent.com/77116615/189711364-d43497e7-d0f4-4c2d-bdfe-d66c792d7e88.png)
![Kp = 50, Ki = 5](https://user-images.githubusercontent.com/77116615/189711372-33a51860-2c9c-4b43-a01c-f31a7f9de2df.png)
## Conclusion
Based on previous tests, we conclude that by adding Integral constant :
* Risie time is **increased**