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Control barrier functions (CBFs) have emerged as a popular topic in safety critical control due to their ability to provide formal safety guarantees for dynamical systems. Despite their powerful capabilities, the determination of feasible…

Systems and Control · Electrical Eng. & Systems 2024-12-18 Ali Mesbah , Seid H. Pourtakdoust , Alireza Sharifi , Afshin Banazadeh

Autonomous navigation through unstructured and dynamically-changing environments is a complex task that continues to present many challenges for modern roboticists. In particular, legged robots typically possess manipulable asymmetric…

Robotics · Computer Science 2025-08-18 Ryan M. Bena , Gilbert Bahati , Blake Werner , Ryan K. Cosner , Lizhi Yang , Aaron D. Ames

In order to be effective partners for humans, robots must become increasingly comfortable with making contact with their environment. Unfortunately, it is hard for robots to distinguish between ``just enough'' and ``too much'' force: some…

Robotics · Computer Science 2022-09-27 Charles Dawson , Austin Garrett , Falk Pollok , Yang Zhang , Chuchu Fan

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

Control barrier functions guarantee safety but typically require accurate system models. Parametric uncertainty invalidates these guarantees. Existing robust methods maintain safety via worst-case bounds, limiting performance, while modular…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Mohammadreza Kamaldar

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

This paper introduces a novel control methodology designed to guide a collective of robotic-sheep in a cluttered and unknown environment using robotic-dogs. The dog-agents continuously scan the environment and compute a safe trajectory to…

Robotics · Computer Science 2025-05-20 Mahmoud Hamandi , Farshad Khorrami , Anthony Tzes

Control Barrier Functions (CBFs) provide an elegant framework for constraining nonlinear control system dynamics to remain within an invariant subset of a designated safe set. However, identifying a CBF that balances performance-by…

Machine Learning · Computer Science 2024-11-05 Lakshmideepakreddy Manda , Shaoru Chen , Mahyar Fazlyab

Shared autonomy blends operator intent with autonomous assistance. In cluttered environments, linear blending can produce unsafe commands even when each source is individually collision-free. Many existing approaches model obstacle…

Robotics · Computer Science 2026-03-03 Berk Guler , Kay Pompetzki , Yuanzheng Sun , Simon Manschitz , Jan Peters

This paper investigates the problem of composing multiple control barrier functions (CBFs) -- and matrix control barrier functions (MCBFs) -- through logical and combinatorial operations. Standard CBF formulations naturally enable…

Systems and Control · Electrical Eng. & Systems 2025-12-22 Pio Ong , Haejoon Lee , Tamas G. Molnar , Dimitra Panagou , Aaron D. Ames

Control Barrier Functions (CBFs) are becoming popular tools in guaranteeing safety for nonlinear systems and constraints, and they can reduce a constrained optimal control problem into a sequence of Quadratic Programs (QPs) for affine…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Wei Xiao , Christos G. Cassandras , Calin A. Belta , Daniela Rus

High-dimensional robot dynamic trajectory planning poses many challenges for traditional planning algorithms. Existing planning methods suffer from issues such as long computation times, limited capacity to address intricate obstacle…

Robotics · Computer Science 2024-06-25 Lihao Xu , Xiaogang Xiong , Bai Yang , Yunjiang Lou

In this paper, we consider a way to safely navigate the robots in unknown environments using measurement data from sensory devices. The control barrier function (CBF) is one of the promising approaches to encode safety requirements of the…

Systems and Control · Electrical Eng. & Systems 2023-08-11 Wataru Hashimoto , Kazumune Hashimoto , Akifumi Wachi , Xun Shen , Masako Kishida , Shigemasa Takai

Modern autonomous systems, such as flying, legged, and wheeled robots, are generally characterized by high-dimensional nonlinear dynamics, which presents challenges for model-based safety-critical control design. Motivated by the success of…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

As autonomous systems become increasingly prevalent in daily life, ensuring their safety is paramount. Control Barrier Functions (CBFs) have emerged as an effective tool for guaranteeing safety; however, manually designing them for specific…

Robotics · Computer Science 2025-04-16 Shreenabh Agrawal , Manan Tayal , Aditya Singh , Shishir Kolathaya

Quadratic programs (QP) subject to multiple time-dependent control barrier function (CBF) based constraints have been used to design safety-critical controllers. However, ensuring the existence of a solution at all times to the QP subject…

Incorporating both flexible and rigid components in robot designs offers a unique solution to the limitations of traditional rigid robotics by enabling both compliance and strength. This paper explores the challenges and solutions for…

Robotics · Computer Science 2024-03-28 Zach J. Patterson , Wei Xiao , Emily Sologuren , Daniela Rus

This paper presents a novel collision avoidance method for general ellipsoids based on control barrier functions (CBFs) and separating hyperplanes. First, collision-free conditions for general ellipsoids are analytically derived using the…

Robotics · Computer Science 2025-07-28 Zeming Wu , Lu Liu

Control barrier function (CBF)-based methods provide the minimum modification necessary to formally guarantee safety in the context of quadratic programming, and strict safety guarantee for safety critical systems. However, most CBF-related…

Systems and Control · Electrical Eng. & Systems 2025-12-27 Xiaoxiao Li , Zhirui Sun , Hongpeng Wang , Shuai Li , Jiankun Wang

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