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Control Barrier Functions (CBFs) are an effective methodology to ensure safety and performative efficacy in real-time control applications such as power systems, resource allocation, autonomous vehicles, robotics, etc. This approach ensures…

Optimization and Control · Mathematics 2024-09-30 Samy Wu Fung , Levon Nurbekyan

Measurements and state estimates are often imperfect in control practice, posing challenges for safety-critical applications, where safety guarantees rely on accurate state information. In the presence of estimation errors, several prior…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Ersin Das , Rahal Nanayakkara , Xiao Tan , Ryan M. Bena , Joel W. Burdick , Paulo Tabuada , Aaron D. Ames

This work explores a collaborative method for ensuring safety in multi-agent formation control problems. We formulate a control barrier function (CBF) based safety filter control law for a generic distributed formation controller and extend…

Robotics · Computer Science 2024-10-08 Brooks A. Butler , Chi Ho Leung , Philip E. Paré

Optimal control for safety-critical systems is often dependent on the conservativeness of constraints. Control Barrier Functions (CBFs) serve as a medium to represent such constraints, but constructing a minimally conservative CBF is a…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Tanmay Dokania , Yashwanth Kumar Nakka

We propose a novel (Type-II) zeroing control barrier function (ZCBF) for safety-critical control, which generalizes the original ZCBF approach. Our method allows for applications to a larger class of systems (e.g. passivity-based) while…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Wenceslao Shaw Cortez , Xiao Tan , Dimos V. Dimarogonas

The safety-critical control of robotic systems often must account for multiple, potentially conflicting, safety constraints. This paper proposes novel relaxation techniques to address safety-critical control problems in the presence of…

Robotics · Computer Science 2023-05-09 Jaemin Lee , Jeeseop Kim , Aaron D. Ames

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

In this work, we combine {Model Predictive Control} (MPC) and Control Barrier Function (CBF) design {methods} to create a hierarchical control law for simultaneous lane-keeping (LK) and obstacle avoidance (OA): at the low level, MPC…

Systems and Control · Electrical Eng. & Systems 2022-04-14 Sven Brüggemann , Drew Steeves , Miroslav Krstic

Control barrier functions (CBF) have become popular as a safety filter to guarantee the safety of nonlinear dynamical systems for arbitrary inputs. However, it is difficult to construct functions that satisfy the CBF constraints for high…

Optimization and Control · Mathematics 2023-12-06 Oswin So , Zachary Serlin , Makai Mann , Jake Gonzales , Kwesi Rutledge , Nicholas Roy , Chuchu Fan

This paper studies the problem of finite-time convergence to a prescribed safe set for nonlinear systems whose initial states violate the safety constraints. Existing Control Lyapunov-Barrier Functions (CLBFs) can enforce recovery to the…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Anni Li , Yingqing Chen , Christos G. Cassandras , Wei Xiao

This paper presents a control strategy based on a new notion of time-varying fixed-time convergent control barrier functions (TFCBFs) for a class of coupled multi-agent systems under signal temporal logic (STL) tasks. In this framework,…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Maryam Sharifi , Dimos V. Dimarogonas

Input delays affect systems such as teleoperation and wirelessly autonomous connected vehicles, and may lead to safety violations. One promising way to ensure safety in the presence of delay is to employ control barrier functions (CBFs),…

Systems and Control · Electrical Eng. & Systems 2025-11-20 Yitaek Kim , Ersin Das , Jeeseop Kim , Aaron D. Ames , Joel W. Burdick , Christoffer Sloth

Enforcing multiple constraints based on the concept of control barrier functions (CBFs) is a remaining challenge because each of the CBFs requires a condition on the control inputs to be satisfied which may easily lead to infeasibility…

Optimization and Control · Mathematics 2025-08-26 Mark Spiller , Emilia Isbono , Philipp Schitz

In this paper, we propose a safety-critical controller based on time-varying control barrier functions (CBFs) for a robot with an unicycle model in the continuous-time domain to achieve navigation and dynamic collision avoidance. Unlike…

Robotics · Computer Science 2023-07-18 Jihao Huang , Zhitao Liu , Jun Zeng , Xuemin Chi , Hongye Su

Control barrier functions (CBFs) provide a powerful tool for enforcing safety constraints in control systems, but their direct application to complex, high-dimensional dynamics is often challenging. In many settings, safety certificates are…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Nikolaos Bousias , Charalampia Stamouli , Anastasios Tsiamis , George Pappas

Control barrier functions (CBFs) enable guaranteed safe multi-agent navigation in the continuous domain. The resulting navigation performance, however, is highly sensitive to the underlying hyperparameters. Traditional approaches consider…

Robotics · Computer Science 2023-09-12 Zhan Gao , Guang Yang , Amanda Prorok

Safety filters based on control barrier functions (CBFs) have become a popular method to guarantee safety for uncertified control policies, e.g., as resulting from reinforcement learning. Here, safety is defined as staying in a pre-defined…

Systems and Control · Electrical Eng. & Systems 2024-04-19 Lukas Brunke , Siqi Zhou , Mingxuan Che , Angela P. Schoellig

Safety is a fundamental requirement of control systems. Control Barrier Functions (CBFs) are proposed to ensure the safety of the control system by constructing safety filters or synthesizing control inputs. However, the safety guarantee…

Robotics · Computer Science 2024-03-29 Manan Tayal , Hongchao Zhang , Pushpak Jagtap , Andrew Clark , Shishir Kolathaya

This paper presents a safe controller synthesis of discrete-time stochastic systems using Control Barrier Functions (CBFs). The proposed condition allows the design of a safe controller synthesis that ensures system safety while avoiding…

Systems and Control · Electrical Eng. & Systems 2025-01-17 Sotaro Fushimi , Kenta Hoshino , Yuki Nishimura

Physical human-robot interaction offers the potential to leverage human intelligence and robot physical capabilities to enable a range of exciting applications, e.g., collaborative robots for rehabilitation. Safety is critical for the…

Robotics · Computer Science 2026-04-28 Rui Luo , Jonas Mariager Jakobsen , Wesley Roozing , Federico Califano , Cheng Fang