English
Related papers

Related papers: Modified Control Barrier Function for Quadratic Pr…

200 papers

High-order control barrier functions (HOCBFs) can be used to provide autonomous systems with safety, though computational methods to verify and synthesize these functions remain lacking. In this work, we address this need by formulating SOS…

Systems and Control · Electrical Eng. & Systems 2025-02-06 Ellie Pond , Matthew Hale

Control barrier function (CBF)-based safety filters provide a systematic way to enforce state constraints, but they can significantly alter the closed-loop dynamics induced by a nominal, stabilizing controller. In particular, the resulting…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Yiting Chen , Pol Mestres , Emiliano Dall'Anese , Jorge Cortés

We present a closed-form optimal feedback control method that ensures safety in an a prior unknown and potentially dynamic environment. This article considers the scenario where local perception data (e.g., LiDAR) is obtained periodically,…

Robotics · Computer Science 2025-04-23 Amirsaeid Safari , Jesse B. Hoagg

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

This paper generalizes the control barrier function framework by replacing scalar-valued functions with matrix-valued ones. Specifically, we develop barrier conditions for safe sets defined by matrix inequalities -- both semidefinite and…

Systems and Control · Electrical Eng. & Systems 2025-09-01 Pio Ong , Yicheng Xu , Ryan M. Bena , Faryar Jabbari , Aaron D. Ames

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

This paper introduces a predictive control barrier function (PCBF) framework for enforcing state constraints in discrete-time systems with unknown relative degree, which can be caused by input delays or unmodeled input dynamics. Existing…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Juan Augusto Paredes Salazar , James Usevitch , Ankit Goel

In this paper, we propose a method to avoid "no-solution" situations of the control barrier function (CBF) for distributed collision avoidance in a multiagent autonomous robotic system (MARS). MARS, which is composed of distributed…

Robotics · Computer Science 2023-11-14 Hiroki Etchu , Yuki Origane , Daisuke Kurabayashi

Collision avoidance is a widely investigated topic in robotic applications. When applying collision avoidance techniques to a mobile robot, how to deal with the spatial structure of the robot still remains a challenge. In this paper, we…

Robotics · Computer Science 2022-05-10 Fan Ding , Han Wang , Jianping He , Yi Ren , Yu Zheng

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

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

Recent work has shown that stabilizing an affine control system to a desired state while optimizing a quadratic cost subject to state and control constraints can be reduced to a sequence of Quadratic Programs (QPs) by using Control Barrier…

Systems and Control · Electrical Eng. & Systems 2021-02-16 Wei Xiao , Calin A. Belta , Christos G. Cassandras

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

In this paper, we investigate safety-critical control problem of discrete-time stochastic systems with incomplete information, where safety constraints must be enforced using state estimates obtained from noisy measurements. We develop an…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Jianing Zhao , Zhuoting Cai , Xiang Yin

We consider the merging control problem for Connected and Automated Vehicles (CAVs) aiming to jointly minimize travel time and energy consumption while providing speed-dependent safety guarantees and satisfying velocity and acceleration…

Systems and Control · Electrical Eng. & Systems 2022-03-10 Kaiyuan Xu , Wei Xiao , Christos G. Cassandras

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…

This article presents a systematic method for designing time-varying Control Barrier Functions (CBF) composed of a time-invariant component and multiple time-dependent components, leveraging structural properties of the system dynamics. The…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Adrian Wiltz , Dimos V. Dimarogonas

This work presents a safe control design approach that integrates the disturbance observer (DOB) and the control barrier function (CBF) for systems with external disturbances. Different from existing robust CBF results that consider the…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Yujie Wang , Xiangru Xu

We present a novel method for designing higher-order Control Barrier Functions (CBFs) that guarantee convergence to a safe set within a user-specified finite. Traditional Higher Order CBFs (HOCBFs) ensure asymptotic safety but lack…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Janani S K , Shishir Kolathaya

The problem of control based on vision measurements (bearings) has been amply studied in the literature; however, the problem of addressing the limits of the field of view of physical sensors has received relatively less attention…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Biagio Trimarchi , Fabrizio Schiano , Roberto Tron