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Safety is of paramount importance in control systems to avoid costly risks and catastrophic damages. The control barrier function (CBF) method, a promising solution for safety-critical control, poses a new challenge of enhancing control…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Shengbo Wang , Ke Li , Zheng Yan , Zhenyuan Guo , Song Zhu , Guanghui Wen , Shiping Wen

We consider the problem of designing controllers to guarantee safety in a class of nonlinear systems under uncertainties in the system dynamics and/or the environment. We define a class of uncertain control barrier functions (CBFs), and…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Vipul K. Sharma , S. Sivaranjani

Using control barrier functions (CBFs) as safety filters provides a computationally inexpensive yet effective method for constructing controllers in safety-critical applications. However, using CBFs requires the construction of a valid CBF,…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Bolun Dai , Prashanth Krishnamurthy , Farshad Khorrami

Safety control of dynamical systems using barrier functions relies on knowing the full state information. This paper introduces a novel approach for safety control in uncertain MIMO systems with partial state information. The proposed…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Binghan He , Takashi Tanaka

We present a novel method for designing higher-order Control Barrier Functions (CBFs) that guarantee convergence to a safe set within a user-specified finite. Traditional Higher Order CBFs (HOCBFs) ensure asymptotic safety but lack…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Janani S K , Shishir Kolathaya

Real-time control is an essential aspect of safe robot operation in the real world with dynamic objects. We present a framework for the analysis of object-aware controllers, methods for altering a robot's motion to anticipate and avoid…

Robotics · Computer Science 2025-10-29 Caleb Escobedo , Nataliya Nechyporenko , Shreyas Kadekodi , Alessandro Roncone

Safety critical systems involve the tight coupling between potentially conflicting control objectives and safety constraints. As a means of creating a formal framework for controlling systems of this form, and with a view toward automotive…

Optimization and Control · Mathematics 2018-02-27 Aaron D. Ames , Xiangru Xu , Jessy W. Grizzle , Paulo Tabuada

This paper presents an approach to design control barrier functions (CBFs) for arbitrary state and input constraints using tools from the reference governor literature. In particular, it is shown that dynamic safety margins (DSMs) are CBFs…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Victor Freire , Marco M. Nicotra

Vehicle performance metrics analyze data sets consisting of subject vehicle's interactions with other road users in a nominal driving environment and provide certain performance measures as outputs. To the best of the authors' knowledge,…

Robotics · Computer Science 2023-06-27 Harnarayan Singh , Bowen Weng , Sughosh J. Rao , Devin Elsasser

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…

We consider a Markov control model in discrete time with countable both state space and action space. Using the value function of a suitable long-run average reward problem, we study various reachability/controllability problems. First, we…

Optimization and Control · Mathematics 2024-06-05 Daniel Avila , Mauricio Junca

In this study, we propose a safety-critical compliant control strategy designed to strictly enforce interaction force constraints during the physical interaction of robots with unknown environments. The interaction force constraint is…

Robotics · Computer Science 2024-05-09 Xinming Wang , Jun Yang , Jianliang Mao , Jinzhuo Liang , Shihua Li , Yunda Yan

Recent advances in machine learning technologies and sensing have paved the way for the belief that safe, accessible, and convenient autonomous vehicles may be realized in the near future. Despite tremendous advances within this context,…

The equivalence of the chain method and Hamilton-Jacobi formalism is demonstrated. The stabilization algorithm of Hamilton-Jacobi formalism is clariffied and two examples are presented in details.

High Energy Physics - Theory · Physics 2010-11-11 D. Baleanu , Y. Guler

Recently, barrier certificates have been introduced to prove the safety of continuous or hybrid dynamical systems. A barrier certificate needs to exhibit some barrier function, which partitions the state space in two subsets: the safe…

Dynamical Systems · Mathematics 2015-06-22 A Djaballah , Alexandre Chapoutot , Michel Kieffer , O Bouissou

Multi-UAV systems are safety-critical, and guarantees must be made to ensure no unsafe configurations occur. Hamilton-Jacobi (HJ) reachability is ideal for analyzing such safety-critical systems; however, its direct application is limited…

Multiagent Systems · Computer Science 2017-06-09 Somil Bansal , Mo Chen , Jaime F. Fisac , Claire J. Tomlin

We address the problem of optimizing the performance of a dynamic system while satisfying hard safety constraints at all times. Implementing an optimal control solution is limited by the computational cost required to derive it in real…

Systems and Control · Electrical Eng. & Systems 2020-08-19 Wei Xiao , Christos G. Cassandras , Calin A. Belta

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

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

Control systems operating in the real world face countless sources of unpredictable uncertainties. These random disturbances can render deterministic guarantees inapplicable and cause catastrophic safety failures. To overcome this, this…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Pol Mestres , Blake Werner , Ryan K. Cosner , Aaron D. Ames