4 papers
DualGuard MPPI: Safe and Performant Optimal Control by Combining Sampling-Based MPC and Hamilton-Jacobi Reachability
Javier Borquez, Luke Raus, Yusuf Umut Ciftci +1
Designing controllers that are both safe and performant is inherently challenging. This co-optimization can be formulated as a constrained optimal control problem, where the cost f…
Providing Safety Assurances for Systems with Unknown Dynamics
Hao Wang, Javier Borquez, Somil Bansal
As autonomous systems become more complex and integral in our society, the need to accurately model and safely control these systems has increased significantly. In the past decade…
On Safety and Liveness Filtering Using Hamilton-Jacobi Reachability Analysis
Javier Borquez, Kaustav Chakraborty, Hao Wang +1
Hamilton-Jacobi (HJ) reachability-based filtering provides a powerful framework to co-optimize performance and safety (or liveness) for autonomous systems. Under this filtering sch…
Hamilton-Jacobi Reachability Analysis for Hybrid Systems with Controlled and Forced Transitions
Javier Borquez, Shuang Peng, Yiyu Chen +2
Hybrid dynamical systems with nonlinear dynamics are one of the most general modeling tools for representing robotic systems, especially contact-rich systems. However, providing gu…