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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…

系统与控制 · 电气工程与系统科学 2020-12-09 Minh Bui , Michael Lu , Reza Hojabr , Mo Chen , Arrvindh Shriraman

Reinforcement learning (RL) agents with pre-specified reward functions cannot provide guaranteed safety across variety of circumstances that an uncertain system might encounter. To guarantee performance while assuring satisfaction of safety…

人工智能 · 计算机科学 2021-04-20 Aquib Mustafa , Majid Mazouchi , Subramanya Nageshrao , Hamidreza Modares

Hamilton-Jacobi (HJ) reachability analysis is an important formal verification method for guaranteeing performance and safety properties of dynamical systems; it has been applied to many small-scale systems in the past decade. Its…

系统与控制 · 计算机科学 2017-09-25 Somil Bansal , Mo Chen , Sylvia Herbert , Claire J. Tomlin

Reinforcement learning (RL) enables agents to learn optimal behaviors through interaction with their environment and has been increasingly deployed in safety-critical applications, including autonomous driving. Despite its promise, RL is…

A model used for velocity control during car following was proposed based on deep reinforcement learning (RL). To fulfil the multi-objectives of car following, a reward function reflecting driving safety, efficiency, and comfort was…

机器学习 · 计算机科学 2020-07-14 Meixin Zhu , Yinhai Wang , Ziyuan Pu , Jingyun Hu , Xuesong Wang , Ruimin Ke

Hamilton-Jacobi (HJ) reachability analysis is a powerful framework for ensuring safety and performance in autonomous systems. However, existing methods typically rely on a white-box dynamics model of the system, limiting their applicability…

系统与控制 · 电气工程与系统科学 2024-10-31 Vamsi Krishna Chilakamarri , Zeyuan Feng , Somil Bansal

Autonomous racing presents unique challenges due to its non-linear dynamics, the high speed involved, and the critical need for real-time decision-making under dynamic and unpredictable conditions. Most traditional Reinforcement Learning…

机器人学 · 计算机科学 2025-05-13 Benedict Hildisch , Edoardo Ghignone , Nicolas Baumann , Cheng Hu , Andrea Carron , Michele Magno

Hamilton-Jacobi (HJ) reachability-based filtering provides a powerful framework to co-optimize performance and safety (or liveness) for autonomous systems. Under this filtering scheme, a nominal controller is minimally modified to ensure…

机器人学 · 计算机科学 2024-08-20 Javier Borquez , Kaustav Chakraborty , Hao Wang , Somil Bansal

We present a framework to \emph{certify} Hamilton--Jacobi (HJ) reachability learned by reinforcement learning (RL). Building on a discounted initial time \emph{travel-cost} formulation that makes small-step RL value iteration provably…

系统与控制 · 电气工程与系统科学 2026-02-19 Prashant Solanki , Isabelle El-Hajj , Jasper J. van Beers , Erik-Jan van Kampen , Coen C. de Visser

In this paper, we present a framework for enabling autonomous vehicles to interact with cyclists in a manner that balances safety and optimality. The approach integrates Hamilton-Jacobi reachability analysis with deep Q-learning to jointly…

机器人学 · 计算机科学 2026-02-23 Aarati Andrea Noronha , Jean Oh

Reinforcement Learning (RL) algorithms show amazing performance in recent years, but placing RL in real-world applications such as self-driven vehicles may suffer safety problems. A self-driven vehicle moving to a target position following…

系统与控制 · 电气工程与系统科学 2022-07-05 Huanhui Cao , Zhiyuan Cai , Hairuo Wei , Wenjie Lu , Lin Zhang , Hao Xiong

Reinforcement Learning (RL) algorithms have achieved remarkable performance in decision making and control tasks due to their ability to reason about long-term, cumulative reward using trial and error. However, during RL training, applying…

机器人学 · 计算机科学 2021-03-03 Yifei Simon Shao , Chao Chen , Shreyas Kousik , Ram Vasudevan

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…

系统与控制 · 电气工程与系统科学 2024-01-01 Qian Wang , Tianhao Wu

Hamilton-Jacobi (HJ) reachability analysis is a widely used method for ensuring the safety of robotic systems. Traditional approaches compute reachable sets by numerically solving an HJ Partial Differential Equation (PDE) over a grid, which…

机器人学 · 计算机科学 2025-05-08 Zeyuan Feng , Le Qiu , Somil Bansal

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,…

机器人学 · 计算机科学 2025-07-21 Qingyi Chen , Ahmed H. Qureshi

We present a fast planning architecture called Hamilton-Jacobi-based bidirectional A* (HJBA*) to solve general tight parking scenarios. The algorithm is a two-layer composed of a high-level HJ-based reachability analysis and a lower-level…

机器人学 · 计算机科学 2026-03-24 Xuemin Chi , Jun Zeng , Jihao Huang , Zhitao Liu , Hongye Su

Sequential decision making using Markov Decision Process underpins many realworld applications. Both model-based and model free methods have achieved strong results in these settings. However, real-world tasks must balance reward…

机器学习 · 计算机科学 2026-04-01 Janaka Chathuranga Brahmanage , Akshat Kumar

Autonomous robots commonly aim to complete a nominal behavior while minimizing a cost; this leaves them vulnerable to failure or unplanned scenarios, where a backup or contingency plan to a safe set is needed to avoid a total mission…

机器人学 · 计算机科学 2026-03-31 Raj Harshit Srirangam , Leonard Jung , Rohith Poola , Michael Everett

The proven efficacy of learning-based control schemes strongly motivates their application to robotic systems operating in the physical world. However, guaranteeing correct operation during the learning process is currently an unresolved…

Safety is a critical component of autonomous systems and remains a challenge for learning-based policies to be utilized in the real world. In particular, policies learned using reinforcement learning often fail to generalize to novel…

机器人学 · 计算机科学 2023-04-04 Kai-Chieh Hsu , Allen Z. Ren , Duy Phuong Nguyen , Anirudha Majumdar , Jaime F. Fisac