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In autonomous systems, a motion planner generates reference trajectories which are tracked by a low-level controller. For safe operation, the motion planner should account for inevitable controller tracking error when generating avoidance…

Robotics · Computer Science 2019-11-06 Hadi Ravanbakhsh , Forrest Laine , Sanjit A. Seshia

This paper investigates the application of game-theoretic principles combined with advanced Kalman filtering techniques to enhance maritime target tracking systems. Specifically, the paper presents a two-player, imperfect information,…

Computer Science and Game Theory · Computer Science 2024-10-18 Daniel Leal , Ngoc Hung Nguyen , Alex Skvortsov , Sanjeev Arulampalam , Mahendra Piraveenan

This letter presents a density function based safe control synthesis framework for the pursuit-evasion problem. We extend safety analysis to dynamic unsafe sets by formulating a reach-avoid type pursuit-evasion differential game as a robust…

Optimization and Control · Mathematics 2025-05-22 Mustafa Bozdag , Arya Honarpisheh , Mario Sznaier

Solutions to pursuit-evasion and surveillance-evasion differential games are typically computed and expressed using open-loop representations, with the synthesis of feedback strategies significantly less common. We propose a numerical…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Philipp Braun , Timothy L. Molloy , Gal Barkai , Iman Shames

Physical systems experience nonlinear disturbances which have the potential to disrupt desired behavior. For a particular disturbance, whether or not the system recovers from the disturbance to a desired stable equilibrium point depends on…

Systems and Control · Electrical Eng. & Systems 2025-01-14 Michael W. Fisher

Real-time, guaranteed safe trajectory planning is vital for navigation in unknown environments. However, real-time navigation algorithms typically sacrifice robustness for computation speed. Alternatively, provably safe trajectory planning…

Robotics · Computer Science 2021-03-16 Mo Chen , Sylvia L. Herbert , Haimin Hu , Ye Pu , Jaime F. Fisac , Somil Bansal , SooJean Han , Claire J. Tomlin

This paper studies a class of approach-evasion differential games, in which one player aims to steer the state of a dynamic system to the given target set in minimum time, while avoiding some set of disallowed states, and the other player…

Optimization and Control · Mathematics 2013-10-01 Erich Mueller , Minghui Zhu , Sertac Karaman , Emilio Frazzoli

This letter presents an approach to guarantee online safety of a cyber-physical system under multiple state and input constraints. Our proposed framework, called gatekeeper, recursively guarantees the existence of an infinite-horizon…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Devansh R. Agrawal , Dimitra Panagou

This paper describes a new online convex optimization method which incorporates a family of candidate dynamical models and establishes novel tracking regret bounds that scale with the comparator's deviation from the best dynamical model in…

Machine Learning · Statistics 2013-01-08 Eric C. Hall , Rebecca M. Willett

Motion planning is a fundamental problem and focuses on finding control inputs that enable a robot to reach a goal region while safely avoiding obstacles. However, in many situations, the state of the system may not be known but only…

Robotics · Computer Science 2021-08-30 Lars Lindemann , Matthew Cleaveland , Yiannis Kantaros , George J. Pappas

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

This study presents a dynamic safety margin-based reinforcement learning framework for local motion planning in dynamic and uncertain environments. The proposed planner integrates real-time trajectory optimization with adaptive gap…

Robotics · Computer Science 2025-05-20 Tengfei Liu , Haoyang Zhong , Jiazheng Hu , Tan Zhang

Autonomous mobile robots must maintain safety, but should not sacrifice performance, leading to the classical reach-avoid problem: find a trajectory that is guaranteed to reach a goal and avoid obstacles. This paper addresses the near…

Robotics · Computer Science 2024-10-28 Long Kiu Chung , Wonsuhk Jung , Chuizheng Kong , Shreyas Kousik

Neural Networks (NNs) can provide major empirical performance improvements for robotic systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating the…

Systems and Control · Electrical Eng. & Systems 2021-05-26 Michael Everett , Golnaz Habibi , Jonathan P. How

Motion planning is an extremely well-studied problem in the robotics community, yet existing work largely falls into one of two categories: computationally efficient but with few if any safety guarantees, or able to give stronger guarantees…

Systems and Control · Computer Science 2018-03-08 David Fridovich-Keil , Sylvia L. Herbert , Jaime F. Fisac , Sampada Deglurkar , Claire J. Tomlin

We present a motion planning algorithm for a class of uncertain control-affine nonlinear systems which guarantees runtime safety and goal reachability when using high-dimensional sensor measurements (e.g., RGB-D images) and a learned…

Robotics · Computer Science 2022-08-25 Glen Chou , Necmiye Ozay , Dmitry Berenson

Pursuit-evasion scenarios appear widely in robotics, security domains, and many other real-world situations. We focus on two-player pursuit-evasion games with concurrent moves, infinite horizon, and discounted rewards. We assume that the…

Computer Science and Game Theory · Computer Science 2016-08-05 Karel Horák , Branislav Bošanský

Demand for high-performance, robust, and safe autonomous systems has grown substantially in recent years. These objectives motivate the desire for efficient safety-theoretic reasoning that can be embedded in core decision-making tasks such…

Robotics · Computer Science 2022-12-27 Kristoffer M. Frey , Ted J. Steiner , Jonathan P. How

With the exponential growth of data and its crucial impact on our lives and decision-making, the integrity of data has become a significant concern. Malicious data poisoning attacks, where false values are injected into the data, can…

Cryptography and Security · Computer Science 2024-03-18 Yue Fu , Qingqing Ye , Rong Du , Haibo Hu

Safe navigation in real-time is challenging because engineers need to work with uncertain vehicle dynamics, variable external disturbances, and imperfect controllers. A common safety strategy is to inflate obstacles by hand-defined margins.…

Robotics · Computer Science 2021-10-08 Cherie Ho , Jay Patrikar , Rogerio Bonatti , Sebastian Scherer
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