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Racing demands each vehicle to drive at its physical limits, when any safety infraction could lead to catastrophic failure. In this work, we study the problem of safe reinforcement learning (RL) for autonomous racing, using the vehicle's…

Robotics · Computer Science 2021-12-02 Bingqing Chen , Jonathan Francis , Jean Oh , Eric Nyberg , Sylvia L. Herbert

This paper presents a novel learning-based approach for online estimation of maximal safe sets for local trajectory planning in unknown static environments. The neural representation of a set is used as the terminal set constraint for a…

Robotics · Computer Science 2025-07-17 Bojan Derajić , Mohamed-Khalil Bouzidi , Sebastian Bernhard , Wolfgang Hönig

Safety assurance is a fundamental requirement for deploying learning-enabled autonomous systems. Hamilton-Jacobi (HJ) reachability analysis is a fundamental method for formally verifying safety and generating safe controllers. However,…

Machine Learning · Computer Science 2025-11-21 Ihab Tabbara , Yuxuan Yang , Hussein Sibai

Safe Multi-Agent Motion Planning (MAMP) is a significant challenge in robotics. Despite substantial advancements, existing methods often face a dilemma. Decentralized algorithms typically rely on predicting the behavior of other agents,…

Robotics · Computer Science 2025-07-21 Qingyi Chen , Ahmed H. Qureshi

Hamilton-Jacobi (HJ) reachability analysis is a widely adopted verification tool to provide safety and performance guarantees for autonomous systems. However, it involves solving a partial differential equation (PDE) to compute a safety…

Robotics · Computer Science 2025-05-12 Aditya Singh , Zeyuan Feng , Somil Bansal

With the continuous advancement in autonomous systems, it becomes crucial to provide robust safety guarantees for safety-critical systems. Hamilton-Jacobi Reachability Analysis is a formal verification method that guarantees performance and…

Systems and Control · Electrical Eng. & Systems 2024-01-01 Qian Wang , Tianhao Wu

Multi-vehicle collision avoidance is a highly crucial problem due to the soaring interests of introducing autonomous vehicles into the real world in recent years. The safety of these vehicles while they complete their objectives is of…

Robotics · Computer Science 2021-09-28 Jennifer C. Shih , Akshara Rai , Laurent El Ghaoui

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

Hamilton-Jacobi reachability analysis is a powerful technique used to verify the safety of autonomous systems. This method is very good at handling non-linear system dynamics with disturbances and flexible set representations. A drawback to…

Systems and Control · Electrical Eng. & Systems 2020-12-09 Minh Bui , Michael Lu , Reza Hojabr , Mo Chen , Arrvindh Shriraman

Hamilton-Jacobi (HJ) reachability analysis is an important formal verification method for guaranteeing performance and safety properties of dynamical control systems. Its advantages include compatibility with general nonlinear system…

Robotics · Computer Science 2020-11-05 Somil Bansal , Claire Tomlin

A classic reachability problem for safety of dynamic systems is to compute the set of initial states from which the state trajectory is guaranteed to stay inside a given constraint set over a given time horizon. In this paper, we leverage…

Autonomous vehicles must navigate dynamically uncertain environments while balancing safety and efficiency. This challenge is exacerbated by unpredictable human-driven vehicle (HV) behaviors and perception inaccuracies, necessitating…

Robotics · Computer Science 2026-04-16 Rui Yang , Lei Zheng , Shuzhi Sam Ge , Jun Ma

Robust motion planning is a well-studied problem in the robotics literature, yet current algorithms struggle to operate scalably and safely in the presence of other moving agents, such as humans. This paper introduces a novel framework for…

Autonomous ground vehicles (AGVs) must navigate safely in cluttered environments while accounting for complex dynamics and environmental uncertainty. Hamilton-Jacobi Reachability (HJR) offers formal safety guarantees through the computation…

Robotics · Computer Science 2025-12-02 Granthik Halder , Rudrashis Majumder , Rakshith M R , Rahi Shah , Suresh Sundaram

Robots must operate safely when deployed in novel and human-centered environments, like homes. Current safe control approaches typically assume that the safety constraints are known a priori, and thus, the robot can pre-compute a…

Robotics · Computer Science 2024-09-24 Leonardo Santos , Zirui Li , Lasse Peters , Somil Bansal , Andrea Bajcsy

We present a numeric method to compute the safe operating flight conditions for a helicopter such that we can ensure a safe landing in the event of a partial or total engine failure. The unsafe operating region is the complement of the…

Robotics · Computer Science 2021-04-21 Matthew R. Kirchner , Eddie Ball , Jacques Hoffler , Don Gaublomme

In this paper, we propose a hybrid MPC local planner that uses a learning-based approximation of a time-varying safe set, derived from local observations and applied as the MPC terminal constraint. This set can be represented as a…

Robotics · Computer Science 2025-08-29 Bojan Derajić , Mohamed-Khalil Bouzidi , Sebastian Bernhard , Wolfgang Hönig

This paper studies the problem of control strategy synthesis for dynamical systems with differential constraints to fulfill a given reachability goal while satisfying a set of safety rules. Particular attention is devoted to goals that…

Hamilton-Jacobi reachability (HJR) is an exciting framework used for control of safety-critical systems with nonlinear and possibly uncertain dynamics. However, HJR suffers from the curse of dimensionality, with computation times growing…

Systems and Control · Electrical Eng. & Systems 2025-03-19 Dylan Hirsch , Sylvia Herbert

Road safety continues to be a pressing global issue, with vehicle collisions imposing significant human, societal, and economic burdens. Human-machine shared collision avoidance in critical collision scenarios aims to aid drivers' accident…

Robotics · Computer Science 2025-09-03 Shiyue Zhao , Junzhi Zhang , Rui Zhou , Neda Masoud , Jianxiong Li , Helai Huang , Shijie Zhao