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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 article presents a closed-form adaptive controlbarrier-function (CBF) approach for satisfying state constraints in systems with parametric uncertainty. This approach uses a sampled-data recursive-least-squares algorithm to estimate the…

Systems and Control · Electrical Eng. & Systems 2024-11-21 Ricardo Gutierrez , Jesse B. Hoagg

In this paper we present the implementation of a Control Barrier Function (CBF) using a quadratic program (QP) formulation that provides obstacle avoidance for a robotic manipulator arm system. CBF is a control technique that has emerged…

Robotics · Computer Science 2022-11-22 Stephen McIlvanna , Nhat Nguyen Minh , Yuzhu Sun , Mien Van , Wasif Naeem

Robots operating in real world settings must navigate and maintain safety while interacting with many heterogeneous agents and obstacles. Multi-Agent Control Barrier Functions (CBF) have emerged as a computationally efficient tool to…

Robotics · Computer Science 2020-09-24 Richard Cheng , Mohammad Javad Khojasteh , Aaron D. Ames , Joel W. Burdick

We propose a design method for a robust safety filter based on Input Constrained Control Barrier Functions (ICCBF) for car-like robots moving in complex environments. A robust ICCBF that can be efficiently implemented is obtained by…

Robotics · Computer Science 2024-02-21 Sven Brüggemann , Dominic Nightingale , Jack Silberman , Maurício de Oliveira

We propose a learning-based Control Barrier Function (CBF) to reduce conservatism in collision avoidance for car-like robots. Traditional CBFs often use the Euclidean distance between robots' centers as a safety margin, which neglects their…

Robotics · Computer Science 2025-11-11 Jianye Xu , Bassam Alrifaee

Maintaining energy sufficiency of a battery-powered robot system is a essential for long-term missions. This capability should be flexible enough to deal with different types of environment and a wide range of missions, while constantly…

Robotics · Computer Science 2023-06-28 Hassan Fouad , Vivek Shankar Varadharajan , Giovanni Beltrame

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

This paper addresses the problem of safety-critical control for non-affine control systems. It has been shown that optimizing quadratic costs subject to state and control constraints can be sub-optimally reduced to a sequence of quadratic…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Wei Xiao , Ross Allen , Daniela Rus

This work develops a robust adaptive control strategy for discrete-time systems using Control Barrier Functions (CBFs) to ensure safety under parametric model uncertainty and disturbances. A key contribution of this work is establishing a…

Systems and Control · Electrical Eng. & Systems 2026-02-05 Changrui Liu , Anil Alan , Shengling Shi , Bart De Schutter

Control barrier functions (CBFs) provide a rigorous framework for designing controllers enforcing safety constraints. While CBF theory is well-developed for a finite number of safety constraints, certain applications, e.g., backup CBFs,…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Max H. Cohen , Pio Ong , Pol Mestres , Aaron D. Ames

Control barrier functions (CBFs) and Hamilton-Jacobi reachability (HJR) are central frameworks in safe control. Traditionally, these frameworks have been viewed as distinct, with the former focusing on optimally safe controller design and…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Dylan Hirsch , Jaime Fernández Fisac , Sylvia Herbert

Safety is one of the most important properties of control systems. Sensor faults and attacks and actuator failures may cause errors in the sensor measurements and system dynamics, which leads to erroneous control inputs and hence safety…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Hongchao Zhang , Zhouchi Li , Andrew Clark

To navigate complex environments, robots must increasingly use high-dimensional visual feedback (e.g. images) for control. However, relying on high-dimensional image data to make control decisions raises important questions; particularly,…

Robotics · Computer Science 2023-03-01 Mukun Tong , Charles Dawson , Chuchu Fan

In this article, we propose a control architecture for the safe, coordinated operation of a multi-agent system with aerial (UAVs) and ground (UGVs) robots in a confined task space. We consider the case where the aerial and ground operations…

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

Collision avoidance for multirobot systems is a well-studied problem. Recently, control barrier functions (CBFs) have been proposed for synthesizing controllers that guarantee collision avoidance and goal stabilization for multiple robots.…

Robotics · Computer Science 2022-06-07 Jaskaran Grover , Changliu Liu , Katia Sycara

This paper introduces the notion of an Input Constrained Control Barrier Function (ICCBF), as a method to synthesize safety-critical controllers for non-linear control affine systems with input constraints. The method identifies a subset of…

Optimization and Control · Mathematics 2023-03-15 Devansh Agrawal , Dimitra Panagou

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

Ensuring liveness and safety of autonomous and cyber-physical systems remains a fundamental challenge, particularly when multiple safety constraints are present. This letter advances the theoretical foundations of safety-filter Quadratic…

Systems and Control · Electrical Eng. & Systems 2025-03-24 Matheus F. Reis , José P. Carvalho , A. Pedro Aguiar