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Dynamic obstacle avoidance is a challenging topic for optimal control and optimization-based trajectory planning problems. Many existing works use Control Barrier Functions (CBFs) to enforce safety constraints for control systems. CBFs are…

机器人学 · 计算机科学 2025-02-10 Shuo Liu , Yihui Mao , Calin A. Belta

Ensuring the safety of dynamical systems is crucial, where collision avoidance is a primary concern. Recently, control barrier functions (CBFs) have emerged as an effective method to integrate safety constraints into control synthesis…

系统与控制 · 电气工程与系统科学 2025-08-21 Shiqing Wei , Rooholla Khorrambakht , Prashanth Krishnamurthy , Vinicius Mariano Gonçalves , Farshad Khorrami

We present a real-time safety filter for motion planning, including those that are learning-based, using Control Barrier Functions (CBFs) to provide formal guarantees for collision avoidance with road boundaries. A key feature of our…

机器人学 · 计算机科学 2026-03-25 Jianye Xu , Chang Che , Bassam Alrifaee

This paper presents a new approach for guaranteed safety subject to input constraints (e.g., actuator limits) using a composition of multiple control barrier functions (CBFs). First, we present a method for constructing a single CBF from…

系统与控制 · 电气工程与系统科学 2024-09-10 Pedram Rabiee , Jesse B. Hoagg

We propose new methods to synthesize control barrier function (CBF)-based safe controllers that avoid input saturation, which can cause safety violations. In particular, our method is created for high-dimensional, general nonlinear systems,…

机器人学 · 计算机科学 2022-11-22 Simin Liu , Changliu Liu , John Dolan

In this work, we combine {Model Predictive Control} (MPC) and Control Barrier Function (CBF) design {methods} to create a hierarchical control law for simultaneous lane-keeping (LK) and obstacle avoidance (OA): at the low level, MPC…

系统与控制 · 电气工程与系统科学 2022-04-14 Sven Brüggemann , Drew Steeves , Miroslav Krstic

Control systems operating in the real world face countless sources of unpredictable uncertainties. These random disturbances can render deterministic guarantees inapplicable and cause catastrophic safety failures. To overcome this, this…

系统与控制 · 电气工程与系统科学 2026-02-10 Pol Mestres , Blake Werner , Ryan K. Cosner , 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…

机器人学 · 计算机科学 2022-09-27 Charles Dawson , Austin Garrett , Falk Pollok , Yang Zhang , Chuchu Fan

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…

系统与控制 · 电气工程与系统科学 2025-12-27 Xiaoxiao Li , Zhirui Sun , Hongpeng Wang , Shuai Li , Jiankun Wang

This paper focuses on safety critical control with sector-bounded uncertainties at the plant input. The uncertainties can represent nonlinear and/or time-varying components. We propose a new robust control barrier function (RCBF) approach…

最优化与控制 · 数学 2021-09-07 Jyot Buch , Shih-Chi Liao , Peter Seiler

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…

系统与控制 · 电气工程与系统科学 2023-01-02 Wei Xiao , Christos G. Cassandras , Calin A. Belta , Daniela Rus

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…

系统与控制 · 电气工程与系统科学 2025-01-06 Pio Ong , Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

Control barrier functions (CBFs) provide a principled framework for enforcing safety in control systems -- yet the certified safe operating region in practice is often conservative, especially under input bounds. In many applications,…

系统与控制 · 电气工程与系统科学 2026-04-07 Pio Ong , David E. J. van Wijk , Massimiliano de Sa , Joel W. Burdick , Aaron D. Ames

Control Barrier Function (CBF) is an emerging method that guarantees safety in path planning problems by generating a control command to ensure the forward invariance of a safety set. Most of the developments up to date assume availability…

系统与控制 · 电气工程与系统科学 2024-07-02 Chuyuan Tao , Wenbin Wan , Junjie Gao , Bihao Mo , Hunmin Kim , Naira Hovakimyan

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…

最优化与控制 · 数学 2023-03-15 Devansh Agrawal , Dimitra Panagou

Control barrier functions (CBF) are widely explored to enforce the safety-critical constraints on nonlinear systems recently. There are many researchers incorporating the control barrier functions into path planning algorithms to find a…

机器人学 · 计算机科学 2024-10-02 Leonas Liu , Yingfan Zhang , Larry Zhang , Mehbi Kermanshabi

Control Barrier Functions (CBFs) are a practical approach for designing safety-critical controllers, but constructing them for arbitrary nonlinear dynamical systems remains a challenge. Recent efforts have explored learning-based methods,…

系统与控制 · 电气工程与系统科学 2025-05-20 Manan Tayal , Aditya Singh , Pushpak Jagtap , Shishir Kolathaya

Control barrier functions (CBFs) are a powerful tool for the constrained control of nonlinear systems; however, the majority of results in the literature focus on systems subject to a single CBF constraint, making it challenging to…

系统与控制 · 电气工程与系统科学 2025-09-05 Max H. Cohen , Eugene Lavretsky , Aaron D. Ames

In safety-critical control, managing safety constraints with high relative degrees and uncertain obstacle dynamics pose significant challenges in guaranteeing safety performance. Robust Control Barrier Functions (RCBFs) offer a potential…

最优化与控制 · 数学 2024-12-06 Kwang Hak Kim , Mamadou Diagne , Miroslav Krstić

This paper proposes a safety-critical controller for dynamic and uncertain environments, leveraging a robust environment control barrier function (ECBF) to enhance the robustness against the measurement and prediction uncertainties…

系统与控制 · 电气工程与系统科学 2024-03-21 Ying Shuai Quan , Jian Zhou , Erik Frisk , Chung Choo Chung