Comparison between safety methods control barrier function vs. reachability analysis
This is an incremental comparison of existing safety methods for robotics or control systems.
The report compares control barrier functions and Hamilton-Jacobi reachability analysis for safety methods, focusing on generality, construction difficulty, and computation cost, using a Dubins car model for numerical evaluation.
This report aims to compare two safety methods: control barrier function and Hamilton-Jacobi reachability analysis. We will consider the difference with a focus on the following aspects: generality of system dynamics, difficulty of construction and computation cost. A standard Dubins car model will be evaluated numerically to make the comparison more concrete.