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Control Barrier Functions (CBFs) have been widely utilized in the design of optimization-based controllers and filters for dynamical systems to ensure forward invariance of a given set of safe states. While CBF-based controllers offer…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Damola Ajeyemi , Saber Jafarpour , Emiliano Dall'Anese

In advanced manufacturing, strict safety guarantees are required to allow humans and robots to work together in a shared workspace. One of the challenges in this application field is the variety and unpredictability of human behavior,…

Robotics · Computer Science 2023-08-22 Dianhao Zhang , Mien Van , Stephen Mcllvanna , Yuzhu Sun , Seán McLoone

Real-time safety systems are crucial components of intelligent vehicles. This paper introduces a prediction-based collision risk assessment approach on highways. Given a point mass vehicle dynamics system, a stochastic forward reachable set…

Systems and Control · Electrical Eng. & Systems 2022-05-04 Xinwei Wang , Zirui Li , Javier Alonso-Mora , Meng Wang

Safety is one of the most crucial challenges of autonomous driving vehicles, and one solution to guarantee safety is to employ an additional control revision module after the planning backbone. Control Barrier Function (CBF) has been widely…

Robotics · Computer Science 2025-03-18 Zehang Zhu , Yuning Wang , Tianqi Ke , Zeyu Han , Shaobing Xu , Qing Xu , John M. Dolan , Jianqiang Wang

This work presents a theoretical framework for the safety-critical control of time delay systems. The theory of control barrier functions, that provides formal safety guarantees for delay-free systems, is extended to systems with state…

Systems and Control · Electrical Eng. & Systems 2022-06-20 Adam K. Kiss , Tamas G. Molnar , Aaron D. Ames , Gabor Orosz

This article presents a Hamilton--Jacobi (HJ) reachability framework for a two--satellite collision avoidance problem operating in the same circular orbit, where relative motion is modeled in the radial--tangential--normal (RTN) frame using…

Robotics · Computer Science 2026-05-20 Larry Hui , Jordan Kam , William Su , Jianshu Zhou

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

We consider an infinite horizon control problem for dynamics constrained to remain on a multidimensional junction with entry costs. We derive the associated system of Hamilton-Jacobi equations (HJ), prove the comparison principle and that…

Analysis of PDEs · Mathematics 2020-02-25 Manh-Khang Dao , Boualem Djehiche

This work provides formal safety guarantees for control systems with disturbance. A disturbance observer-based robust safety-critical controller is proposed, that estimates the effect of the disturbance on safety and utilizes this estimate…

Systems and Control · Electrical Eng. & Systems 2023-01-05 Anil Alan , Tamas G. Molnar , Ersin Das , Aaron D. Ames , Gabor Orosz

Control invariant sets are crucial for various methods that aim to design safe control policies for systems whose state constraints must be satisfied over an indefinite time horizon. In this article, we explore the connections among…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Jason J. Choi , Donggun Lee , Boyang Li , Jonathan P. How , Koushil Sreenath , Sylvia L. Herbert , Claire J. Tomlin

Designing safety-critical control for robotic manipulators is challenging, especially in a cluttered environment. First, the actual trajectory of a manipulator might deviate from the planned one due to the complex collision environments and…

Robotics · Computer Science 2022-11-14 Xuda Ding , Han Wang , Yi Ren , Yu Zheng , Cailian Chen , Jianping He

A novel method for computing reachable sets is proposed in this paper. In the proposed method, a Hamilton-Jacobi-Bellman equation with running cost functionis numerically solved and the reachable sets of different time horizons are…

Systems and Control · Electrical Eng. & Systems 2022-05-18 Weiwei Liao , Tao Liang

Reachability analysis evaluates system safety, by identifying the set of states a system may evolve within over a finite time horizon. In contrast to model-based reachability analysis, data-driven reachability analysis estimates reachable…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Elizabeth Dietrich , Hanna Krasowski , Murat Arcak

With the increasing need for safe control in the domain of autonomous driving, model-based safety-critical control approaches are widely used, especially Control Barrier Function (CBF)-based approaches. Among them, Exponential CBF (eCBF) is…

Robotics · Computer Science 2022-05-10 Spencer Van Koevering , Yiwei Lyu , Wenhao Luo , John Dolan

Control barrier functions (CBFs) have been widely used for synthesizing controllers in safety-critical applications. When used as a safety filter, it provides a simple and computationally efficient way to obtain safe controls from a…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Bolun Dai , Heming Huang , Prashanth Krishnamurthy , Farshad Khorrami

Action anticipation, intent prediction, and proactive behavior are all desirable characteristics for autonomous driving policies in interactive scenarios. Paramount, however, is ensuring safety on the road --- a key challenge in doing so is…

Robotics · Computer Science 2019-01-01 Karen Leung , Edward Schmerling , Mo Chen , John Talbot , J. Christian Gerdes , Marco Pavone

Control barrier functions (CBFs) have become a popular tool to enforce safety of a control system. CBFs are commonly utilized in a quadratic program formulation (CBF-QP) as safety-critical constraints. A class $\mathcal{K}$ function in CBFs…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Hengbo Ma , Bike Zhang , Masayoshi Tomizuka , Koushil Sreenath

Autonomous systems operating in close proximity with each other to cover a specified area has many potential applications, but to achieve effective coordination, two key challenges need to be addressed: coordination and safety. For…

Systems and Control · Electrical Eng. & Systems 2019-11-18 Juan Chacon , Mo Chen , Razvan C. Fetecau

Autonomous coverage of a specified area by robots operating in close proximity with each other has many potential applications such as real-time monitoring of rapidly changing environments, and search and rescue; however, coordination and…

Multiagent Systems · Computer Science 2020-09-28 Juan Chacon , Mo Chen , Razvan Fetecau

Risk assessment is a crucial component of collision warning and avoidance systems in intelligent vehicles. To accurately detect potential vehicle collisions, reachability-based formal approaches have been developed to ensure driving safety,…

Robotics · Computer Science 2023-06-02 Xinwei Wang , Zirui Li , Javier Alonso-Mora , Meng Wang