Safe Interactive Motion Planning by Differentiable Optimal Control and Online Preference Learning

We present an interactive motion planner that integrates online learning of human driver preferences with parametric control barrier functions. Using stochastic models with Gaussian disturbances to capture human-driven vehicle behavior uncertainty, we update parameters in real-time parameter by Kalman filtering while ensuring safety by control barrier functions. A case study on highway lane-changing tasks demonstrates improved traffic flow, reduced disruptions, and lighter actuation effort compared to non-adaptive algorithms.