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Control Barrier Functions (CBFs) aim to ensure safety by constraining the control input at each time step so that the system state remains within a desired safe region. This paper presents a framework for CBFs in stochastic systems in the…

Optimization and Control · Mathematics 2020-10-20 Andrew Clark

This work combines control barrier functions (CBFs) with a whole-body controller to enable self-collision avoidance for the MIT Humanoid. Existing reactive controllers for self-collision avoidance cannot guarantee collision-free…

Robotics · Computer Science 2022-11-08 Charles Khazoom , Daniel Gonzalez-Diaz , Yanran Ding , Sangbae Kim

Inspired by the success of imitation and inverse reinforcement learning in replicating expert behavior through optimal control, we propose a learning based approach to safe controller synthesis based on control barrier functions (CBFs). We…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Alexander Robey , Haimin Hu , Lars Lindemann , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni

Safe control in dynamic traffic environments remains a major challenge for autonomous vehicles (AVs), as ego vehicle and obstacle states are inherently affected by sensing noise and estimation uncertainty. However, existing studies have not…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Pei Yu Chang , Qizhe Xu , Vishnu Renganathan , Qadeer Ahmed

Control barrier functions (CBFs) have recently introduced a systematic tool to ensure system safety by establishing set invariance. When combined with a nominal control strategy, they form a safety-critical control mechanism. However, the…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Mohammad Aali , Jun Liu

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

This paper presents an approach for navigation and control in unmapped environments under input and state constraints using a composite control barrier function (CBF). We consider the scenario where real-time perception feedback (e.g.,…

Robotics · Computer Science 2025-04-08 Amirsaeid Safari , Jesse B. Hoagg

Constructing a control invariant set with an appropriate shape that fits within a given state constraint is a fundamental problem in safety-critical control but is known to be difficult, especially for large or complex spaces. This paper…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Inkyu Jang , H. Jin Kim

The existence of a Control Barrier Function (CBF) for a control-affine system provides a powerful design tool to ensure safety. Any controller that satisfies the CBF condition and ensures that the trajectories of the closed-loop system are…

Optimization and Control · Mathematics 2023-06-14 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

In this paper, we present a novel probabilistic safe control framework for human-robot interaction that combines control barrier functions (CBFs) with conformal risk control to provide formal safety guarantees while considering complex…

Robotics · Computer Science 2026-03-12 Jake Gonzales , Kazuki Mizuta , Karen Leung , Lillian J. Ratliff

Certifying the safety of nonlinear systems, through the lens of set invariance and control barrier functions (CBFs), offers a powerful method for controller synthesis, provided a CBF can be constructed. This paper draws connections between…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Max H. Cohen , Ryan K. Cosner , Aaron D. Ames

Safe autonomous navigation in unknown environments remains a critical challenge for robots with limited sensing capabilities. While safety-critical control techniques, such as Control Barrier Functions (CBFs), have been proposed to ensure…

Robotics · Computer Science 2025-03-19 Taekyung Kim , Dimitra Panagou

This paper presents a formal framework for collision avoidance in multi-robot systems, wherein an existing controller is modified in a minimally invasive fashion to ensure safety. We build this framework through the use of control barrier…

Robotics · Computer Science 2016-09-05 Li Wang , Aaron Ames , Magnus Egerstedt

This paper details the theory and implementation behind practically ensuring safety of remotely piloted racing drones. We demonstrate robust and practical safety guarantees on a 7" racing drone at speeds exceeding 100 km/h, utilizing only…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Andrew Singletary , Aiden Swann , Yuxiao Chen , Aaron D. Ames

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…

This paper studies the design of controllers that guarantee stability and safety of nonlinear control affine systems with parametric uncertainty in both the drift and control vector fields. To this end, we introduce novel classes of robust…

Optimization and Control · Mathematics 2022-08-12 Max H. Cohen , Calin Belta , Roberto Tron

Safety filters based on Control Barrier Functions (CBFs) have emerged as a practical tool for the safety-critical control of autonomous systems. These approaches encode safety through a value function and enforce safety by imposing a…

Robotics · Computer Science 2022-08-23 Sander Tonkens , Sylvia Herbert

Cyber-physical and autonomous systems are often equipped with mechanisms that provide predictions/projections of future disturbances, e.g., road curvatures, commonly referred to as preview or lookahead, but this preview information is…

Systems and Control · Electrical Eng. & Systems 2024-03-08 Tarun Pati , Seunghoon Hwang , Sze Zheng Yong

Inter-robot collisions pose a significant safety risk when multiple robotic arms operate in close proximity. We present an online collision avoidance methodology leveraging High-Order Control Barrier Functions (HOCBFs) constructed for safe…

Robotics · Computer Science 2025-12-01 Ali Umut Kaypak , Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami

Safety-critical control tasks with high levels of uncertainty are becoming increasingly common. Typically, techniques that guarantee safety during learning and control utilize constraint-based safety certificates, which can be leveraged to…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Alexandre Capone , Ryan Cosner , Aaron Ames , Sandra Hirche