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Designing control inputs that satisfy safety requirements is crucial in safety-critical nonlinear control, and this task becomes particularly challenging when full-state measurements are unavailable. In this work, we address the problem of…

Systems and Control · Electrical Eng. & Systems 2024-03-15 Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami

Control barrier functions (CBFs) have been widely applied to safety-critical robotic applications. However, the construction of control barrier functions for robotic systems remains a challenging task. Recently, collision detection using…

Control barrier functions provide a powerful means for synthesizing safety filters that ensure safety framed as forward set invariance. Key to CBFs' effectiveness is the simple inequality on the system dynamics: $\dot{h} \geq - \alpha(h)$.…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Pio Ong , Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

Discrete-time Control Barrier Functions (DTCBFs) form a powerful control theoretic tool to guarantee safety and synthesize safe controllers for discrete-time dynamical systems. In this paper, we provide an optimization-based algorithm,…

Optimization and Control · Mathematics 2025-09-24 Erfan Shakhesi , W. P. M. H. Heemels , Alexander Katriniok

Control Barrier Functions (CBFs) have become powerful tools for ensuring safety in nonlinear systems. However, finding valid CBFs that guarantee persistent safety and feasibility remains an open challenge, especially in systems with input…

Robotics · Computer Science 2025-03-05 Taekyung Kim , Robin Inho Kee , Dimitra Panagou

Control barrier functions (CBFs) offer a powerful tool for enforcing safety specifications in control synthesis. This paper deals with the problem of constructing valid CBFs. Given a second-order system and any desired safety set with…

Systems and Control · Electrical Eng. & Systems 2025-03-17 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

Safe real-time control of robotic manipulators in unstructured environments requires handling numerous safety constraints without compromising task performance. Traditional approaches, such as artificial potential fields (APFs), suffer from…

Robotics · Computer Science 2025-10-21 Daniel Morton , Marco Pavone

Safety is a fundamental requirement for autonomous systems operating in critical domains. Control barrier functions (CBFs) have been used to design safety filters that minimally alter nominal controls for such systems to maintain their…

Artificial Intelligence · Computer Science 2025-10-27 Yuxuan Yang , Hussein Sibai

In this paper, we study Stochastic Control Barrier Functions (SCBFs) to enable the design of probabilistic safe real-time controllers in presence of uncertainties and based on noisy measurements. Our goal is to design controllers that bound…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Shakiba Yaghoubi , Georgios Fainekos , Tomoya Yamaguchi , Danil Prokhorov , Bardh Hoxha

This paper addresses the challenge of ensuring safety and feasibility in control systems using Control Barrier Functions (CBFs). Existing CBF-based Quadratic Programs (CBF-QPs) often encounter feasibility issues due to mixed relative degree…

Systems and Control · Electrical Eng. & Systems 2025-03-07 Shuo Liu , Wei Xiao , Calin A. Belta

Control Barrier Functions (CBFs) have emerged as a powerful paradigm in control theory, providing a principled approach to enforcing safety-critical constraints in dynamic systems. This survey paper comprehensively explores the foundational…

Systems and Control · Electrical Eng. & Systems 2024-08-27 Promit Panja

Control Barrier Functions (CBFs) are utilized to ensure the safety of control systems. CBFs act as safety filters in order to provide safety guarantees without compromising system performance. These safety guarantees rely on the…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Hongchao Zhang , Manan Tayal , Jackson Cox , Pushpak Jagtap , Shishir Kolathaya , Andrew Clark

This work introduces a novel Proxy Control Barrier Function (PCBF) scheme that integrates barrier-based and Lyapunov-based safety-critical control strategies for strict-feedback systems with potentially unknown dynamics. The proposed method…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Yujie Wang , Xiangru Xu

This paper addresses the challenge of integrating explicit hard constraints into the control barrier function (CBF) framework for ensuring safety in autonomous systems, including robots. We propose a novel data-driven method to derive CBFs…

Robotics · Computer Science 2023-12-14 Jaemin Lee , Jeeseop Kim , Aaron D. Ames

Hybrid dynamical systems are ubiquitous as practical robotic applications often involve both continuous states and discrete switchings. Safety is a primary concern for hybrid robotic systems. Existing safety-critical control approaches for…

Robotics · Computer Science 2024-12-02 Shuo Yang , Yu Chen , Xiang Yin , George J. Pappas , Rahul Mangharam

Control barrier functions-based quadratic programming (CBF-QP) is gaining popularity as an effective controller synthesis tool for safe control. However, the provable safety is established on an accurate dynamic model and access to all…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Jinfeng Chen , Zhiqiang Gao , Qin Lin

Control barrier functions (CBFs) provide an effective framework for enforcing safety in dynamical systems with scalar constraints. However, many safety constraints are more naturally expressed as matrix-valued conditions, such as positive…

Optimization and Control · Mathematics 2026-04-07 Samuel G. Gessow , Pio Ong , Aaron D. Ames , Brett T. Lopez

Safety has been a critical issue for the deployment of learning-based approaches in real-world applications. To address this issue, control barrier function (CBF) and its variants have attracted extensive attention for safety-critical…

Machine Learning · Computer Science 2023-05-08 Alaa Eddine Chriat , Chuangchuang Sun

Industrial control applications require high performance under strict constraints. Control barrier functions (CBFs) provide principled safety mechanisms, but constructing CBF-based safety filters for large-scale systems is challenging. We…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Kim P. Wabersich , Felix Berkel , Felix Gruber , Sven Reimann

In this paper, we investigate safety-critical control problem of discrete-time stochastic systems with incomplete information, where safety constraints must be enforced using state estimates obtained from noisy measurements. We develop an…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Jianing Zhao , Zhuoting Cai , Xiang Yin