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相关论文: Robust Control Barrier Functions under High Relati…

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This paper presents methodologies for ensuring forward invariance of sublevel sets of constraint functions with high-relative-degree with respect to the system dynamics and in the presence of input constraints. We show that such constraint…

最优化与控制 · 数学 2021-10-01 Joseph Breeden , Dimitra Panagou

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

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

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

Control Barrier Functions (CBFs) have proven to be an effective tool for performing safe control synthesis for nonlinear systems. However, guaranteeing safety in the presence of disturbances and input constraints for high relative degree…

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

Control barrier functions (CBFs) are a powerful tool for synthesizing safe control actions; however, constructing CBFs remains difficult for general nonlinear systems. In this work, we provide a constructive framework for synthesizing CBFs…

系统与控制 · 电气工程与系统科学 2025-09-04 Gilbert Bahati , Ryan K. Cosner , Max H. Cohen , Ryan M. Bena , Aaron D. Ames

In a complex real-time operating environment, external disturbances and uncertainties adversely affect the safety, stability, and performance of dynamical systems. This paper presents a robust stabilizing safety-critical controller…

系统与控制 · 电气工程与系统科学 2022-04-29 Ersin Daş , Richard M. Murray

This paper extends control barrier functions (CBFs) to high order control barrier functions (HOCBFs) that can be used for high relative degree constraints. The proposed HOCBFs are more general than recently proposed (exponential) HOCBFs. We…

系统与控制 · 计算机科学 2019-03-15 Wei Xiao , Calin Belta

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

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…

In this note, a new reciprocal resistance-based control barrier function (RRCBF) is developed to enhance the robustness of control barrier functions for disturbed affine nonlinear systems, without requiring explicit knowledge of disturbance…

系统与控制 · 电气工程与系统科学 2025-07-28 Xinming Wang , Zongyi Guo , Jianguo Guo , Jun Yang , Yunda Yan

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

Guaranteeing safety for robotic and autonomous systems in real-world environments is a challenging task that requires the mitigation of stochastic uncertainties. Control barrier functions have, in recent years, been widely used for…

系统与控制 · 电气工程与系统科学 2022-03-31 Andrew Singletary , Mohamadreza Ahmadi , Aaron D. Ames

Ensuring the safety of complex dynamical systems often relies on Hamilton-Jacobi (HJ) Reachability Analysis or Control Barrier Functions (CBFs). Both methods require computing a function that characterizes a safe set that can be made…

系统与控制 · 电气工程与系统科学 2025-10-03 Jixian Liu , Enrique Mallada

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…

系统与控制 · 电气工程与系统科学 2024-02-15 Ersin Daş , Skylar X. Wei , Joel W. Burdick

This paper proposes a safety-critical control design approach for nonlinear control affine systems in the presence of matched and unmatched uncertainties. Our constructive framework couples control barrier function (CBF) theory with a new…

系统与控制 · 电气工程与系统科学 2025-02-03 Ersin Das , Joel W. Burdick

This paper studies the design of controllers that guarantee stability and safety of nonlinear control affine systems with parametric uncertainty in both the drift and control vector fields. To this end, we introduce novel classes of robust…

最优化与控制 · 数学 2022-08-12 Max H. Cohen , Calin Belta , Roberto Tron

Control barrier functions (CBFs) provide an effective framework for enforcing safety in dynamical systems with scalar constraints. However, many safety constraints are more naturally expressed as matrix-valued conditions, such as positive…

最优化与控制 · 数学 2026-04-07 Samuel G. Gessow , Pio Ong , Aaron D. Ames , Brett T. Lopez

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
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