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Control barrier functions-based quadratic programming (CBF-QP) is gaining popularity as an effective controller synthesis tool for safe control. However, the provable safety is established on an accurate dynamic model and access to all…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Jinfeng Chen , Zhiqiang Gao , Qin Lin

Control Barrier Functions (CBFs) have emerged as a powerful tool in the design of safety-critical controllers for nonlinear systems. In modern applications, complex systems often involve the feedback interconnection of subsystems evolving…

Optimization and Control · Mathematics 2026-04-03 Stefano Di Gregorio , Guido Carnevale , Giuseppe Notarstefano

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

This paper presents methodologies for constructing Control Barrier Functions (CBFs) for nonlinear, control-affine systems, in the presence of input constraints and bounded disturbances. More specifically, given a constraint function with…

Systems and Control · Electrical Eng. & Systems 2023-06-12 Joseph Breeden , Dimitra Panagou

Most existing robust control barrier functions (CBFs) can only handle matched disturbances, restricting their applications in real-world scenarios. While some recent advances extend robust CBFs to unmatched disturbances, they heavily rely…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Xinyang Wang , Wei Xiao , Hongwei Zhang

Correct-by-construction techniques, such as control barrier functions (CBFs), can be used to guarantee closed-loop safety by acting as a supervisor of an existing or legacy controller. However, supervisory-control intervention typically…

Systems and Control · Computer Science 2018-05-03 Yuxiao Chen , Ayonga Hereid , Huei Peng , Jessy Grizzle

Applications that require multi-robot systems to operate independently for extended periods of time in unknown or unstructured environments face a broad set of challenges, such as hardware degradation, changing weather patterns, or…

Robotics · Computer Science 2021-04-16 Yousef Emam , Paul Glotfelter , Sean Wilson , Gennaro Notomista , Magnus Egerstedt

Control barrier functions (CBFs) provide a powerful tool for enforcing safety constraints in control systems, but their direct application to complex, high-dimensional dynamics is often challenging. In many settings, safety certificates are…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Nikolaos Bousias , Charalampia Stamouli , Anastasios Tsiamis , George Pappas

Safety is a critical property for control systems in medicine, transportation, manufacturing, and other applications, and can be defined as ensuring positive invariance of a predefined safe set. This paper investigates the problems of…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Andrew Clark

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

Learning-based controllers, such as neural network (NN) controllers, can show high empirical performance but lack formal safety guarantees. To address this issue, control barrier functions (CBFs) have been applied as a safety filter to…

Systems and Control · Electrical Eng. & Systems 2023-01-10 Shuo Yang , Shaoru Chen , Victor M. Preciado , Rahul Mangharam

Construction automation increasingly requires autonomous mobile robots, yet robust autonomy remains challenging on construction sites. These environments are dynamic and often visually occluded, which complicates perception and navigation.…

Robotics · Computer Science 2026-02-16 Johannes Mootz , Reza Akhavian

Reinforcement learning (RL) has demonstrated impressive performance in various areas such as video games and robotics. However, ensuring safety and stability, which are two critical properties from a control perspective, remains a…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Liqun Zhao , Konstantinos Gatsis , Antonis Papachristodoulou

This paper presents a novel approach for synthesizing control barrier functions (CBFs) from high relative degree safety constraints: Rectified CBFs (ReCBFs). We begin by discussing the limitations of existing High-Order CBF approaches and…

Systems and Control · Electrical Eng. & Systems 2025-01-06 Pio Ong , Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

In this paper, we propose a deep learning based control synthesis framework for fast and online computation of controllers that guarantees the safety of general nonlinear control systems with unknown dynamics in the presence of input…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Vrushabh Zinage , Rohan Chandra , Efstathios Bakolas

This paper introduces a novel safety-critical control method through the synthesis of control barrier functions (CBFs) for systems with high-relative-degree safety constraints. By extending the procedure of CBF backstepping, we propose…

Dynamical Systems · Mathematics 2025-08-29 Laszlo Gacsi , Max H. Cohen , Tamas G. Molnar

Designing safety-critical control for robotic manipulators is challenging, especially in a cluttered environment. First, the actual trajectory of a manipulator might deviate from the planned one due to the complex collision environments and…

Robotics · Computer Science 2022-11-14 Xuda Ding , Han Wang , Yi Ren , Yu Zheng , Cailian Chen , Jianping He

Control Barrier Functions (CBFs) have emerged as a powerful paradigm in control theory, providing a principled approach to enforcing safety-critical constraints in dynamic systems. This survey paper comprehensively explores the foundational…

Systems and Control · Electrical Eng. & Systems 2024-08-27 Promit Panja

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

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
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