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Planning and control for autonomous vehicles usually are hierarchical separated. However, increasing performance demands and operating in highly dynamic environments requires an frequent re-evaluation of the planning and tight integration…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Markus Koegel , Mohamed Ibrahim , Christian Kallies , Rolf Findeisen

Hamilton-Jacobi (HJ) reachability is a method that provides rigorous analyses of the safety properties of dynamical systems. This method has been successfully applied to many low-dimensional dynamical system models such as coarse models of…

Optimization and Control · Mathematics 2016-09-20 Mo Chen , Sylvia Herbert , Claire J. Tomlin

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

Providing formal safety and performance guarantees for autonomous systems is becoming increasingly important. Hamilton-Jacobi (HJ) reachability analysis is a popular formal verification tool for providing these guarantees, since it can…

Robotics · Computer Science 2023-06-13 Albert Lin , Somil Bansal

Safe multi-agent motion planning (MAMP) under task-induced constraints is a critical challenge in robotics. Many real-world scenarios require robots to navigate dynamic environments while adhering to manifold constraints imposed by tasks.…

Robotics · Computer Science 2025-11-06 Qingyi Chen , Ruiqi Ni , Jun Kim , Ahmed H. Qureshi

Diffusion models have emerged as a powerful approach for multimodal motion planning in autonomous driving. However, their practical deployment is typically hindered by the inherent difficulty in enforcing vehicle dynamics and a critical…

Robotics · Computer Science 2026-01-23 Rui Yang , Lei Zheng , Ruoyu Yao , Jun Ma

Multi-agent navigation in unknown and cluttered environments has broad applications, yet remains fundamentally challenging. In particular, dense agent-agent and agent-obstacle reactive interactions can exacerbate the inherent competition…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Fenglan Wang , Xinguo Shu , Lei He , Lin Zhao

We propose a hybrid approach that combines Hamilton-Jacobi (HJ) reachability and mixed-integer optimization for solving a reach-avoid game with multiple attackers and defenders. The reach-avoid game is an important problem with potential…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Hanyang Hu , Minh Bui , Mo Chen

Autonomous vehicles need to handle various traffic conditions and make safe and efficient decisions and maneuvers. However, on the one hand, a single optimization/sampling-based motion planner cannot efficiently generate safe trajectories…

Robotics · Computer Science 2021-06-10 Jinning Li , Liting Sun , Jianyu Chen , Masayoshi Tomizuka , Wei Zhan

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

Ensuring safety for human-interactive robotics is important due to the potential for human injury. The key challenge is defining safety in a way that accounts for the complex range of human behaviors without modeling the human as an…

Robotics · Computer Science 2021-10-12 Jeevana Priya Inala , Yecheng Jason Ma , Osbert Bastani , Xin Zhang , Armando Solar-Lezama

Safe value functions, such as control barrier functions, characterize a safe set and synthesize a safety filter, overriding unsafe actions, for a dynamic system. While function approximators like neural networks can synthesize approximately…

Robotics · Computer Science 2024-09-10 Sander Tonkens , Alex Toofanian , Zhizhen Qin , Sicun Gao , Sylvia Herbert

As autonomous systems become more ubiquitous in daily life, ensuring high performance with guaranteed safety is crucial. However, safety and performance could be competing objectives, which makes their co-optimization difficult.…

Robotics · Computer Science 2025-05-29 Manan Tayal , Aditya Singh , Shishir Kolathaya , Somil Bansal

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

Hamilton-Jacobi Reachability (HJR) analysis has been successfully used in many robotics and control tasks, and is especially effective in computing reach-avoid sets and control laws that enable an agent to reach a goal while satisfying…

Robotics · Computer Science 2026-02-03 Zheng Gong , Boyang Li , Sylvia Herbert

Safe control techniques, such as Hamilton-Jacobi reachability, provide principled methods for synthesizing safety-preserving robot policies but typically assume hand-designed state spaces and full observability. Recent work has relaxed…

Robotics · Computer Science 2025-10-09 Matthew Kim , Kensuke Nakamura , Andrea Bajcsy

Robots such as autonomous vehicles and assistive manipulators are increasingly operating in dynamic environments and close physical proximity to people. In such scenarios, the robot can leverage a human motion predictor to predict their…

Robotics · Computer Science 2023-06-07 Kensuke Nakamura , Somil Bansal

In Human-Robot Collaboration, the robot operates in a highly dynamic environment. Thus, it is pivotal to guarantee the robust stability of the system during the interaction but also a high flexibility of the robot behavior in order to…

Robotics · Computer Science 2021-03-05 Federico Benzi , Cristian Secchi

This work proposes an optimal safe controller minimizing an infinite horizon cost functional subject to control barrier functions (CBFs) safety conditions. The constrained optimal control problem is reformulated as a minimization problem of…

Systems and Control · Electrical Eng. & Systems 2022-02-03 Hassan Almubarak , Evangelos A. Theodorou , Nader Sadegh

With the recent surge of interest in using robotics and automation for civil purposes, providing safety and performance guarantees has become extremely important. In the past, differential games have been successfully used for the analysis…

Optimization and Control · Mathematics 2017-04-24 Mo Chen , Sylvia Herbert , Claire J. Tomlin