⚙️ PID Control Implementation for a Mass-Spring-Damper System (MATLAB & Simulink)

📖 Introduction

This project demonstrates the PID control implementation for a Mass-Spring-Damper (MSD) system using MATLAB & Simulink.

The mass-spring-damper system is a fundamental model in control theory, representing objects with complex material behavior, including nonlinearity and viscoelasticity.

This transfer function is used as the foundation for both analytical modeling and Simulink simulations.

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🔬 Methodology

1. System Modeling

• Derived the transfer function of the MSD system.
• Implemented the non-linear system model in MATLAB Simulink.

2. Controller Design

• Designed a PID controller with the following gains:
  • Proportional Gain: Kp = 350
  • Integral Gain: Ki = 300
  • Derivative Gain: Kd = 50

3. Simulation Parameters

• Mass (M): 1
• Damping Coefficient (b): 10
• Spring Constant (k): 20
• Step Input: 1

🗂️ Project Structure
├──📄 MassSpringDamper.slx # Simulink model
├──📄 MassSpringDamper_Integration.m # MATLAB implementation
├──📄 MassSpringDamper.pdf # Full project report

📌 Reference
Mass-Spring-Damper System: Wikipedia (https://en.wikipedia.org/wiki/Mass-spring-damper_model)