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https://github.com/mongshil553/lead-compensator-control-of-motor-using-matlab-simulink
Using Matlab, design a Lead Compensator control system for motor.
https://github.com/mongshil553/lead-compensator-control-of-motor-using-matlab-simulink
autonomous-control bode-plot feedback-systems lead-compensators motor-control nyquist-plot simulation
Last synced: about 1 month ago
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Using Matlab, design a Lead Compensator control system for motor.
- Host: GitHub
- URL: https://github.com/mongshil553/lead-compensator-control-of-motor-using-matlab-simulink
- Owner: mongshil553
- Created: 2024-07-11T17:03:16.000Z (7 months ago)
- Default Branch: main
- Last Pushed: 2024-07-12T17:32:12.000Z (7 months ago)
- Last Synced: 2024-11-14T00:27:00.384Z (3 months ago)
- Topics: autonomous-control, bode-plot, feedback-systems, lead-compensators, motor-control, nyquist-plot, simulation
- Language: MATLAB
- Homepage:
- Size: 86.9 KB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
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README
# Lead-Compensator-Control-of-motor-using-Matlab-Simulink
Using Matlab, design a Lead Compensator control system for motor.
Target Performance Specification: 1. Phase Margin ≥ 30, 2. Steady State Error ≤ 1%
Ciruit and Motor Free Body Diagrams
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This is the circuit and motor free body diagram. Using this, we will calculate the transfer function of the plant.
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After Calculation, the transfer function of the plant is equal to the equation above.
Plant Step Response
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Steady State Error exists. Also, ziegler nichols method cannot be applied to this plant.
Bode Plot
Using Matlab, we get the following Bode Plot;
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Nyquist Plot
Using Matlab, we get the following Nyquist Plot;
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For all Ks, the system is stable.
Designing Lead Compensator
For K=5000, the Crossover Frequency is 1.04e+03 where the Phase is -136°. Therefore the PM is 44°. For Overshoot to be below 10%, PM should be equal or higher than 60°. With an extra margin of 10°, the lead compensator should compensate 26° Phase. The following is the lead compensator transfer function;
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System Result
With the feedback control system, the result are the following;
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Simulink results are the following;
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Disturbance Rejection
System Model with Disturbance:
Sine Disturbance:
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Step Disturbance:
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Ramp Disturbance:
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Parabola Disturbance:
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User Defined Reference Tracking
The following is the signal defined which will be a reference.
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The following is the system model.
Result(Left) and Error(Right):
The error is very minimal.