---
title: QP-RNN Interactive Demo
emoji: 🎮
colorFrom: blue
colorTo: green
sdk: gradio
sdk_version: 5.35.0
app_file: app.py
pinned: false
license: mit
---

# QP-RNN: Quadratic Programming Recurrent Neural Network

This is an interactive demo for the paper ["MPC-Inspired Reinforcement Learning for Verifiable Model-Free Control"](https://arxiv.org/abs/2312.05332) (L4DC 2024).

## What is QP-RNN?

QP-RNN is a novel neural network architecture that combines:
- 🎯 **Structure** of Model Predictive Control (MPC) 
- 🧠 **Learning** capabilities of Deep Reinforcement Learning
- ✅ **Verifiable** properties (stability, constraint satisfaction)

At each time step, QP-RNN solves a parameterized Quadratic Program:
```
min   0.5 * y'Py + q(x)'y
s.t.  -1 ≤ Hy + b(x) ≤ 1
```

Where the parameters (P, H, q, b) are learned through RL instead of derived from a model.

## Demo Features

This interactive demo lets you:
- 🎮 Control a double integrator system with QP-RNN
- 🔧 Adjust controller parameters in real-time
- 📊 Visualize system response and phase portraits
- 📈 See performance metrics and constraint satisfaction

## Key Advantages

1. **Interpretable**: QP structure provides clear understanding
2. **Verifiable**: Enables formal stability and safety analysis  
3. **Efficient**: Fixed-iteration solver suitable for real-time control
4. **Robust**: Handles constraints and disturbances naturally

## Links

- 📄 [Paper](https://arxiv.org/abs/2312.05332)
- 💻 [GitHub Repository](https://github.com/yiwenlu66/learning-qp)
- 🤖 [Full Training Code](https://github.com/yiwenlu66/learning-qp)

## Citation

```bibtex
@InProceedings{lu2024mpc,
  title={MPC-Inspired Reinforcement Learning for Verifiable Model-Free Control},
  author={Lu, Yiwen and Li, Zishuo and Zhou, Yihan and Li, Na and Mo, Yilin},
  booktitle={Proceedings of the 6th Conference on Learning for Dynamics and Control},
  year={2024}
}
```