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This letter presents a closed-form solution of Control Barrier Function (CBF) framework for enforcing safety constraints on a Stewart robotic platform. The proposed method simultaneously handles multiple position and velocity constraints…

Implementing obstacle avoidance in dynamic environments is a challenging problem for robots. Model predictive control (MPC) is a popular strategy for dealing with this type of problem, and recent work mainly uses control barrier function…

Robotics · Computer Science 2024-04-10 Zetao Lu , Kaijun Feng , Jun Xu , Haoyao Chen , Yunjiang Lou

This paper addresses the challenge of safe stabilization, ensuring the system state reach the origin while avoiding unsafe regions. Existing approaches relying on smooth Lyapunov barrier functions often fail to guarantee a feasible…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Jianglin Lan , Eldert van Henten , Peter Groot Koerkamp , Congcong Sun

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) are a powerful tool for the constrained control of nonlinear systems; however, the majority of results in the literature focus on systems subject to a single CBF constraint, making it challenging to…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Max H. Cohen , Eugene Lavretsky , Aaron D. Ames

This paper presents a sampled-data framework for the safe navigation of controlled agents in environments cluttered with obstacles governed by uncertain linear dynamics. Collision-free motion is achieved by combining Control Barrier…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Hugo Matias , Daniel Silvestre

Safety filters leveraging control barrier functions (CBFs) are highly effective for enforcing safe behavior on complex systems. It is often easier to synthesize CBFs for a Reduced order Model (RoM), and track the resulting safe behavior on…

Systems and Control · Electrical Eng. & Systems 2024-12-09 William D. Compton , Max H. Cohen , Aaron D. Ames

Researchers have developed various cascaded controllers and non-cascaded controllers for the navigation and control of quadrotors in recent years. It is vital to ensure the safety of a quadrotor both in normal state and in abnormal state if…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Weifeng Zeng , Huanhui Cao , Wenjie Lu , Hao Xiong

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…

Safe navigation for an ego vehicle in uncertain environments characterized by dynamic obstacles with unknown nonlinear dynamics is a challenging problem of significant practical interest. Existing approaches in the literature either lack…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Jiwon Lee , Hugo Matias , Daniel Silvestre , Thinh T. Doan

This paper proposes a safety controller for control-affine nonlinear systems with unmodelled dynamics and disturbances to improve closed-loop robustness. Uncertainty estimation-based control barrier functions (CBFs) are utilized to ensure…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Ersin Daş , Skylar X. Wei , Joel W. Burdick

This paper considers collision avoidance for vehicles with first-order nonholonomic constraints maintaining nonzero forward speeds, moving within dynamic environments. We leverage the concept of control barrier functions (CBFs) to…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Aurora Haraldsen , Martin S. Wiig , Aaron D. Ames , Kristin Y. Pettersen

Control Barrier Function (CBF) is an emerging method that guarantees safety in path planning problems by generating a control command to ensure the forward invariance of a safety set. Most of the developments up to date assume availability…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Chuyuan Tao , Wenbin Wan , Junjie Gao , Bihao Mo , Hunmin Kim , Naira Hovakimyan

Control Barrier Functions (CBF) have provided a very versatile framework for the synthesis of safe control architectures for a wide class of nonlinear dynamical systems. Typically, CBF-based synthesis approaches apply to systems that…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Shuo Yang , Mitchell Black , Georgios Fainekos , Bardh Hoxha , Hideki Okamoto , Rahul Mangharam

In this paper, we propose a novel Control Barrier Function (CBF) based controller for nonlinear systems with complex, time-varying input constraints. To deal with these constraints, we introduce an auxiliary control input to transform the…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Yaosheng Deng , Yang Bai , Yujie Wang , Masaki Ogura , Mir Feroskhan

Control Barrier Functions (CBFs) have proven to be an effective tool for performing safe control synthesis for nonlinear systems. However, guaranteeing safety in the presence of disturbances and input constraints for high relative degree…

Optimization and Control · Mathematics 2026-01-21 Luzia Knoedler , Oswin So , Ji Yin , Mitchell Black , Zachary Serlin , Panagiotis Tsiotras , Javier Alonso-Mora , Chuchu Fan

This paper addresses the problem of guaranteeing safety of multiple coordinated agents moving in dynamic environments. It has recently been shown that this problem can be efficiently solved through the notion of Control Barrier Functions…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Aurora Haraldsen , Josef Matous , Kristin Y. Pettersen

Control barrier functions (CBFs) are an effective model-based tool to formally certify the safety of a system. With the growing complexity of modern control problems, CBFs have received increasing attention in both optimization-based and…

Robotics · Computer Science 2026-04-14 Lishuo Pan , Mattia Catellani , Thales C. Silva , Lorenzo Sabattini , Nora Ayanian

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

Safety is of great importance in multi-robot navigation problems. In this paper, we propose a control barrier function (CBF) based optimizer that ensures robot safety with both high probability and flexibility, using only sensor…

Robotics · Computer Science 2021-09-17 Yuxiang Cui , Longzhong Lin , Xiaolong Huang , Dongkun Zhang , Yue Wang , Rong Xiong