luigiberducci / fosco

Learner-Verifier Framework for formal synthesis of Control Barrier Functions (CBF).

FOSCo: FOrmal Synthesis of COntrol Barrier Functions

Learner-verifier framework for synthesis of Control Barrier Functions (CBFs) for (nonlinear) control-affine systems.

We use a counterexample-guided inductive synthesis (CEGIS) approach to learn a CBF which is guaranteed to be valid.

🔧 Installation

The code is written in Python 3.10 and uses PyTorch for learning a CBF. We recommend using a virtual environment.

To install the required dependencies, run

pip install -r requirements.txt

🚀 Examples

We provide a simple example for a single-integrator system in run_example.py.

To run the example, run

python run_example.py

⚠️ Disclaimer

This is a research prototype, tailored for CBF and built on top of FOSSIL. Our implementation aims to refactor the original codebase and keep the minimal functionality required for CBF synthesis.

We invite to refer to the original codebase for synthesis of general Lyapunov certificates.