利用Matlab设计了一种电机超前补偿器控制系统matlab代码.rar

# Lead-Compensator-Control-of-motor-using-Matlab-Simulink Using Matlab, design a Lead Compensator control system for motor. <br> Target Performance Specification: 1. Phase Margin ≥ 30, 2. Steady State Error ≤ 1% <hr> <h2>Ciruit and Motor Free Body Diagrams</h3> <img src = "https://github.com/mongshil553/PI-Control-of-motor-using-Matlab/assets/129606995/e15611d3-dc2c-4623-ab7d-79909740c14e" width="50%" height="50%" title="Free Body Diagram"> <br> This is the circuit and motor free body diagram. Using this, we will calculate the transfer function of the plant. <br><br> <img src = "https://github.com/mongshil553/PI-Control-of-motor-using-Matlab/assets/129606995/65a62830-7aed-4f85-8c25-7be9d980f299" width="60%" height="60%" title="Plant Transfer Function"> <br> After Calculation, the transfer function of the plant is equal to the equation above. <hr> <h2>Plant Step Response</h2> <!--<div align="center">--> <img src = "https://github.com/mongshil553/PI-Control-of-motor-using-Matlab/assets/129606995/e057234a-53cb-4ecb-b08f-1346bc689ab8" width="30%" height="30%" title="Matlab Step Response"> <img src = "https://github.com/mongshil553/PI-Control-of-motor-using-Matlab/assets/129606995/bb9578fd-cb64-40b2-8915-f3c754cbd17a" width="42%" height="42%" title="Simulink Step Response"> <!--</div>--> <br> Steady State Error exists. Also, ziegler nichols method cannot be applied to this plant.<br> <hr> <h2>Bode Plot</h2> Using Matlab, we get the following Bode Plot; <br><br> <img src = "https://github.com/user-attachments/assets/6ea93eb8-dab5-4280-a800-85149ff19b3b" width="70%" height="70%" title="Matlab Bode Plot"> <hr> <h2>Nyquist Plot</h2> Using Matlab, we get the following Nyquist Plot; <br><br> <img src = "https://github.com/user-attachments/assets/376281c7-1228-410e-af77-89ac9cc7ba3b" width="70%" height="70%" title="Matlab Nyquist Plot"> <br> For all Ks, the system is stable. <hr> <h2>Designing Lead Compensator</h2> 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; <br> <img src = "https://github.com/user-attachments/assets/4cfe7ee0-66be-469a-b99f-594b713b917a" width="50%" height="50%" title="Lead Compensator Transfer Function"> <br> <hr> <h2>System Result</h2> With the feedback control system, the result are the following; <br> <img src = "https://github.com/user-attachments/assets/c665eeb1-b807-4b85-9146-a366ddb2d0e4" width="70%" height="70%" title="Matlab Result"> <br><br> Simulink results are the following; <br> <img src = "https://github.com/user-attachments/assets/1352b859-c736-48a6-ba60-de68f7d185a1" width="65%" height="65%" title="Simulink Design"> &nbsp; <img src = "https://github.com/user-attachments/assets/eac3b78f-7055-4505-af30-c3ac5c0eff11" width="30%" height="30%" title="Simulink Result"> <br> <hr> <h2>Disturbance Rejection</h2> <!--<div align="center">--> System Model with Disturbance: <br> <img src = "https://github.com/user-attachments/assets/b80d31a1-df21-413d-bfdd-3e087b0b1827" width="70%" height="70%" title="Design"> <!--</div>--> <br> Sine Disturbance: <br> <img src = "https://github.com/user-attachments/assets/a6fbb9c7-d8c8-40c9-b192-b4200c3f81d7" width="72%" height="72%" title="Sine Disturbance"> <img src = "https://github.com/user-attachments/assets/320bfd0c-2f62-4bc5-b9fa-8bc692bdb54b" width="26%" height="26%" title="Sine Disturbance enlarged"> <br><br> Step Disturbance: <br> <img src = "https://github.com/user-attachments/assets/f344ce0a-4d85-4e6b-9fa1-b106fb868065" width="100%" height="100%" title="Step Disturbance"> <br><br> Ramp Disturbance: <br> <img src = "https://github.com/user-attachments/assets/87dc194a-10ab-46ed-90c7-5ff758da3ce7" width="72%" height="72%" title="Ramp Disturbance"> <img src = "https://github.com/user-attachments/assets/7e822174-d957-4702-b446-3ebc22fdd5e0" width="26%" height="26%" title="Ramp Disturbance enlarged"> <br><br> Parabola Disturbance: <br> <img src = "https://github.com/user-attachments/assets/ed538475-bfb3-4ca9-9f8f-77ea601ef963" width="100%" height="100%" title="Parabola Disturbance"> <br><br> <hr> <h2>User Defined Reference Tracking</h2> The following is the signal defined which will be a reference. <br> <img src = "https://github.com/mongshil553/PI-Control-of-motor-using-Matlab-Simulink/assets/129606995/83e7b40c-1ece-4597-8e8f-2cec3ce5a8ea" width="55%" height="55%" title="User Defined Reference"> <br><br> The following is the system model. <br> <img src = "https://github.com/user-attachments/assets/52b97e18-17ef-4fac-b8b4-0bb12217deb0" width="100%" height="100%" title="Model"> <br><br> Result(Left) and Error(Right): <br> <img src = "https://github.com/user-attachments/assets/081a5828-182e-45e0-afdf-41dee94067c3" width="100%" height="100%" title="Simulation Result"> The error is very minimal.