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We present a closed-form optimal control that satisfies both safety constraints (i.e., state constraints) and input constraints (e.g., actuator limits) using a composition of multiple control barrier functions (CBFs). This main contribution…

系统与控制 · 电气工程与系统科学 2024-07-08 Pedram Rabiee , Jesse B. Hoagg

We develop a novel adaptation-based technique for safe control design in the presence of multiple control barrier function (CBF) constraints. Specifically, we introduce an approach for synthesizing any number of candidate CBFs into one…

最优化与控制 · 数学 2022-09-20 Mitchell Black , Dimitra Panagou

Physical human-robot interaction offers the potential to leverage human intelligence and robot physical capabilities to enable a range of exciting applications, e.g., collaborative robots for rehabilitation. Safety is critical for the…

机器人学 · 计算机科学 2026-04-28 Rui Luo , Jonas Mariager Jakobsen , Wesley Roozing , Federico Califano , Cheng Fang

The safety of training task policies and their subsequent application using reinforcement learning (RL) methods has become a focal point in the field of safe RL. A central challenge in this area remains the establishment of theoretical…

机器人学 · 计算机科学 2025-05-02 Chenggang Wang , Xinyi Wang , Yutong Dong , Lei Song , Xinping Guan

Safe control for inherently unstable systems such as quadrotors is crucial. Imposing multiple dynamic constraints simultaneously on the states for safety regulation can be a challenging problem. In this paper, we propose a quadratic…

系统与控制 · 计算机科学 2022-03-08 Mouhyemen Khan , Munzir Zafar , Abhijit Chatterjee

This paper presents a comprehensive approach for the safety-critical control of robotic manipulators operating in dynamic environments. Building upon the framework of Control Barrier Functions (CBFs), we extend the collision cone…

机器人学 · 计算机科学 2025-03-04 Lucas Almeida

Safety critical systems involve the tight coupling between potentially conflicting control objectives and safety constraints. As a means of creating a formal framework for controlling systems of this form, and with a view toward automotive…

最优化与控制 · 数学 2018-02-27 Aaron D. Ames , Xiangru Xu , Jessy W. Grizzle , Paulo Tabuada

This paper studies the efficient implementation of safety filters that are designed using control barrier functions (CBFs), which minimally modify a nominal controller to render it safe with respect to a prescribed set of states. Although…

系统与控制 · 电气工程与系统科学 2026-04-23 Pol Mestres , Shima Sadat Mousavi , Pio Ong , Lizhi Yang , Ersin Das , Joel W. Burdick , Aaron D. Ames

This tutorial paper presents recent work of the authors that extends the theory of Control Barrier Functions (CBFs) to address practical challenges in the synthesis of safe controllers for autonomous systems and robots. We present novel…

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

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

Verifying the safety of controllers is critical for many applications, but is especially challenging for systems with bounded inputs. Backup control barrier functions (bCBFs) offer a structured approach to synthesizing safe controllers that…

系统与控制 · 电气工程与系统科学 2025-10-08 David E. J. van Wijk , Ersin Das , Tamas G. Molnar , Aaron D. Ames , Joel W. Burdick

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…

系统与控制 · 电气工程与系统科学 2025-05-20 Yaosheng Deng , Yang Bai , Yujie Wang , Masaki Ogura , Mir Feroskhan

In this paper, we develop a novel adaptation-based approach to constrained control design under multiple state and input constraints. Specifically, we introduce a method for synthesizing any number of time-varying candidate control barrier…

最优化与控制 · 数学 2023-04-05 Mitchell Black , Dimitra Panagou

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…

机器人学 · 计算机科学 2024-03-28 Zach J. Patterson , Wei Xiao , Emily Sologuren , Daniela Rus

Constructing a control invariant set with an appropriate shape that fits within a given state constraint is a fundamental problem in safety-critical control but is known to be difficult, especially for large or complex spaces. This paper…

系统与控制 · 电气工程与系统科学 2025-07-18 Inkyu Jang , H. Jin Kim

Safety is one of the fundamental problems in robotics. Recently, a quadratic program-based control barrier function (CBF) method has emerged as a way to enforce safety-critical constraints. Together with control Lyapunov function (CLF), it…

系统与控制 · 电气工程与系统科学 2022-01-03 Jun Zeng , Bike Zhang , Zhongyu Li , Koushil Sreenath

This paper addresses the challenge of integrating explicit hard constraints into the control barrier function (CBF) framework for ensuring safety in autonomous systems, including robots. We propose a novel data-driven method to derive CBFs…

机器人学 · 计算机科学 2023-12-14 Jaemin Lee , Jeeseop Kim , Aaron D. Ames

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…

机器人学 · 计算机科学 2023-05-09 Jaemin Lee , Jeeseop Kim , Aaron D. Ames

Over the decades, kinematic controllers have proven to be practically useful for applications like set-point and trajectory tracking in robotic systems. To this end, we formulate a novel safety-critical paradigm for kinematic control in…

系统与控制 · 电气工程与系统科学 2020-09-22 Andrew Singletary , Shishir Kolathaya , Aaron D. Ames
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