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# Derivative Effect on Control System
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# Improved Particle Swarm Optimization on PID Tuning
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This dir is belong to Control System class contains with Tuning PID with ZN1 and PSO on motor system.
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## Software
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@ -26,6 +26,53 @@ Variable above is the constant for PSO tuning.
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## Testing
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### ITAE Cost Function
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![itae](https://user-images.githubusercontent.com/77116615/191751929-89ff2f77-7e1a-45a4-b535-f8f3a768ecc6.png)
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### Step Response
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![step](https://user-images.githubusercontent.com/77116615/191751960-eee905b9-e450-41de-8824-f2157e431238.png)
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### Ramp Response
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![ramp](https://user-images.githubusercontent.com/77116615/191752006-63e2fe9b-69ad-48eb-881d-7adb2b630819.png)
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### Impulse Response
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![impulse](https://user-images.githubusercontent.com/77116615/191752036-5e05bfd7-9448-437e-ada6-16d9744b1b89.png)
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### Acceleration Response
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![acceleration](https://user-images.githubusercontent.com/77116615/191752086-4f392de0-202b-429c-adc9-0935d10275b5.png)
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## Results
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Elapsed time is 18.701024 seconds.
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### Before PSO-PID
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```
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RiseTime: 1.0161
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SettlingTime: 1.8471
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SettlingMin: 0.0819
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SettlingMax: 0.0907
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Overshoot: 0
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Undershoot: 0
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Peak: 0.0907
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PeakTime: 3.0168
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SSError: 0.9095
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```
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### After PSO-PID
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Kp = 853.3161
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Ki = 74.1078
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Kd = 2.4810e+03
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```
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RiseTime: 9.5287e-04
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SettlingTime: 0.0012
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SettlingMin: 0.9949
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SettlingMax: 0.9976
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Overshoot: 0
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Undershoot: 0
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Peak: 0.9976
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PeakTime: 0.0036
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SSError: 0.0024
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```
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### Notes
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Contact nanda.r.d@mail.ugm.ac.id for more information
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