Master one of the most challenging control systems in engineering!

This project presents a complete implementation of the Double Inverted Pendulum on a Cart, stabilized using Linear Quadratic Regulator (LQR) in MATLAB — now bundled with a detailed scientific report written in academic article style.

📌 Product Description

The double inverted pendulum is a highly nonlinear, multi-body, and inherently unstable system — widely used as a benchmark in advanced control engineering.

This project demonstrates how optimal control techniques can stabilize both pendulums simultaneously using full-state feedback.

In addition to the MATLAB simulation, this package includes a professionally written scientific report, structured like a research paper, explaining:
• Mathematical modeling
• System dynamics
• State-space formulation
• LQR controller design
• Simulation results and analysis

This makes the project ideal for academic submission, research understanding, and portfolio building.

⚙️ Key Features

✅ Complete nonlinear dynamic modeling
✅ State-space representation
✅ LQR optimal control design
✅ Stabilization of both pendulums
✅ Smooth and realistic MATLAB animation
✅ Clean, well-commented MATLAB code
✅ Detailed scientific report (publication-style)

📂 What You Will Get

• MATLAB (.m) files (fully functional)
• Simulation with animation
• LQR controller implementation
• System parameter setup
• 📄 Scientific Report (PDF / DOCX) including:

• Abstract
• Introduction
• Mathematical Modeling
• System Equations
• Controller Design
• Results & Discussion
• Conclusion
  • 📊 Ready-to-use presentation slides (PPT)

🎯 Who Is This For?

• Control Systems Students
• Robotics & Automation Engineers
• Mechatronics Students
• MATLAB Learners
• Final Year Project Students
• Researchers looking for reference material

💡 Learning Outcomes

✔ Understand nonlinear system dynamics
✔ Learn state-space modeling
✔ Design and tune LQR controllers
✔ Interpret results like a research paper
✔ Apply theory to real engineering systems

🚀 Why This Project Stands Out

• Includes research-level documentation
• Ready for final year project submission
• Combines theory + simulation + explanation
• Saves weeks of development time
• Clean and professional structure

📊 Applications

• Robotics
• Self-balancing systems
• Aerospace control
• Autonomous systems
• Advanced automation

⚠️ Requirements

• MATLAB (R2020 or newer recommended)
• Basic knowledge of control systems