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Motion planning in environments with multiple agents is critical to many important autonomous applications such as autonomous vehicles and assistive robots. This paper considers the problem of motion planning, where the controlled agent…

Robotics · Computer Science 2020-11-30 Yuxiao Chen , Ugo Rosolia , Chuchu Fan , Aaron D. Ames , Richard Murray

This report aims to compare two safety methods: control barrier function and Hamilton-Jacobi reachability analysis. We will consider the difference with a focus on the following aspects: generality of system dynamics, difficulty of…

Systems and Control · Electrical Eng. & Systems 2021-06-25 Zhichao Li

A runtime assurance system (RTA) for a given plant enables the exercise of an untrusted or experimental controller while assuring safety with a backup (or safety) controller. The relevant computational design problem is to create a logic…

Systems and Control · Electrical Eng. & Systems 2023-10-09 Kristina Miller , Christopher K. Zeitler , William Shen , Kerianne Hobbs , Sayan Mitra , John Schierman , Mahesh Viswanathan

Hamilton-Jacobi (HJ) reachability analysis provides a formal method for guaranteeing safety in constrained control problems. It synthesizes a value function to represent a long-term safe set called feasible region. Early synthesis methods…

Systems and Control · Electrical Eng. & Systems 2025-08-01 Yujie Yang , Hanjiang Hu , Tianhao Wei , Shengbo Eben Li , Changliu Liu

Contact-rich robotic systems, such as legged robots and manipulators, are often represented as hybrid systems. However, the stability analysis and region-of-attraction computation for these systems are often challenging because of the…

Robotics · Computer Science 2022-02-10 Jason J. Choi , Ayush Agrawal , Koushil Sreenath , Claire J. Tomlin , Somil Bansal

To safely and efficiently solve motion planning problems in multi-agent settings, most approaches attempt to solve a joint optimization that explicitly accounts for the responses triggered in other agents. This often results in solutions…

Robotics · Computer Science 2025-06-11 Roman Chiva Gil , Daniel Jarne Ornia , Khaled A. Mustafa , Javier Alonso Mora

Preventing collisions in multi-robot navigation is crucial for deployment. This requirement hinders the use of learning-based approaches, such as multi-agent reinforcement learning (MARL), on their own due to their lack of safety…

Recent developments in autonomous driving and robotics underscore the necessity of safety-critical controllers. Control barrier functions (CBFs) are a popular method for appending safety guarantees to a general control framework, but they…

Robotics · Computer Science 2025-05-21 Matthew Kim , William Sharpless , Hyun Joe Jeong , Sander Tonkens , Somil Bansal , Sylvia Herbert

A new framework for formulating reachability problems with competing inputs, nonlinear dynamics and state constraints as optimal control problems is developed. Such reach-avoid problems arise in, among others, the study of safety problems…

Optimization and Control · Mathematics 2009-11-25 Kostas Margellos , John Lygeros

To deploy safe and agile robots in cluttered environments, there is a need to develop fully decentralized controllers that guarantee safety, respect actuation limits, prevent deadlocks, and scale to thousands of agents. Current approaches…

Robotics · Computer Science 2024-09-17 Vrushabh Zinage , Abhishek Jha , Rohan Chandra , Efstathios Bakolas

We address multi-robot safe mission planning in uncertain dynamic environments. This problem arises in several applications including safety-critical exploration, surveillance, and emergency rescue missions. Computation of a multi-robot…

Robotics · Computer Science 2022-11-15 Daniel Tihanyi , Yimeng Lu , Orcun Karaca , Maryam Kamgarpour

An autonomous and resilient controller is proposed for leader-follower multi-agent systems under uncertainties and cyber-physical attacks. The leader is assumed non-autonomous with a nonzero control input, which allows changing the team…

Multiagent Systems · Computer Science 2018-04-10 Rohollah Moghadam , Hamidreza Modares

We study a human-robot collaborative transportation task in presence of obstacles. The task for each agent is to carry a rigid object to a common target position, while safely avoiding obstacles and satisfying the compliance and actuation…

Robotics · Computer Science 2022-07-14 Tony Zheng , Monimoy Bujarbaruah , Yvonne R. Stürz , Francesco Borrelli

Continuum robots are well suited for navigating confined and fragile environments, such as vascular or endoluminal anatomy, where contact with surrounding structures is often unavoidable. While controlled contact can assist motion,…

The Hopf formula for Hamilton-Jacobi reachability (HJR) analysis has been proposed to solve high-dimensional differential games, producing the set of initial states and corresponding controller required to reach (or avoid) a target despite…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Will Sharpless , Nikhil Shinde , Matthew Kim , Yat Tin Chow , Sylvia Herbert

Reachability analysis is important for studying optimal control problems and differential games, which are powerful theoretical tools for analyzing and modeling many practical problems in robotics, aircraft control, among other application…

Optimization and Control · Mathematics 2016-03-22 Mo Chen , Claire J. Tomlin

Human awareness in robot motion planning is crucial for seamless interaction with humans. Many existing techniques slow down, stop, or change the robot's trajectory locally to avoid collisions with humans. Although using the information on…

Robotics · Computer Science 2022-10-24 Marco Faroni , Manuel Beschi , Nicola Pedrocchi

This paper investigates the problem of maintaining the safe operation of Waste-to-Energy (WtE) systems under operational constraints and uncertain waste inflows. We model this as a robust viability problem, formulated as a zero-sum…

Optimization and Control · Mathematics 2026-04-02 Achraf Bouhmady , Othman Cherkaoui Dekkaki

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…

Learning-based approaches have recently shown notable success in legged locomotion. However, these approaches often lack accountability, necessitating empirical tests to determine their effectiveness. In this work, we are interested in…

Robotics · Computer Science 2024-09-26 Xingpeng Xia , Jason J. Choi , Ayush Agrawal , Koushil Sreenath , Claire J. Tomlin , Somil Bansal
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