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The goal of this thesis is to propose the combination of Control-Barrier-Functions (CBF) with Model-Predictive-Control (MPC) resulting in the novel Model-Predictive-Control-Barrier-Function (MPCBF). It can be shown, that the performance of…

机器人学 · 计算机科学 2020-11-23 Johann Lange

Control Invariant (CI) sets are instrumental in certifying the safety of dynamical systems. Control Barrier Functions (CBFs) are effective tools to compute such sets, since the zero sublevel sets of CBFs are CI sets. However, computing CBFs…

系统与控制 · 电气工程与系统科学 2025-09-05 Sampath Kumar Mulagaleti , Andrea Del Prete

Safety-critical control is characterized as ensuring constraint satisfaction for a given dynamical system. Recent developments in zeroing control barrier functions (ZCBFs) have provided a framework for ensuring safety of a superlevel set of…

系统与控制 · 电气工程与系统科学 2021-08-05 Wenceslao Shaw Cortez , Dimos V. Dimarogonas

Control Barrier Functions (CBF) have provided a very versatile framework for the synthesis of safe control architectures for a wide class of nonlinear dynamical systems. Typically, CBF-based synthesis approaches apply to systems that…

系统与控制 · 电气工程与系统科学 2024-02-15 Shuo Yang , Mitchell Black , Georgios Fainekos , Bardh Hoxha , Hideki Okamoto , Rahul Mangharam

This paper presents a methodology for Practically Safe Extremum Seeking (PSfES), designed to optimize unknown objective functions while strictly enforcing safety constraints via a Logarithmic Barrier Function (LBF). Unlike traditional…

系统与控制 · 电气工程与系统科学 2026-04-06 Qixu Wang , Patrick McNamee , Zahra Nili Ahmadabadi

Abrupt maneuvers by surrounding vehicles (SVs) can typically lead to safety concerns and affect the task efficiency of the ego vehicle (EV), especially with model uncertainties stemming from environmental disturbances. This paper presents a…

机器人学 · 计算机科学 2024-03-08 Lei Zheng , Rui Yang , Zengqi Peng , Wei Yan , Michael Yu Wang , Jun Ma

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…

系统与控制 · 电气工程与系统科学 2023-06-12 Joseph Breeden , Dimitra Panagou

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

Ensuring safe exploration in high-dimensional systems with unknown dynamics remains a significant challenge. Existing safe reinforcement learning methods often provide safety guarantees only in expectation, which can still lead to safety…

机器学习 · 计算机科学 2026-04-28 Rahul Narava , Siddharth Verma , Ojas Jain , Shashi Shekhar Jha , Mayank Shekhar Jha

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

Discrete-time Control Barrier Functions (DTCBFs) have recently attracted interest for guaranteeing safety and synthesizing safe controllers for discrete-time dynamical systems. This paper addresses the open challenges of verifying candidate…

最优化与控制 · 数学 2025-09-24 Erfan Shakhesi , W. P. M. H. Heemels , Alexander Katriniok

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…

系统与控制 · 电气工程与系统科学 2023-01-10 Shuo Yang , Shaoru Chen , Victor M. Preciado , Rahul Mangharam

Safety assurance is critical in the planning and control of robotic systems. For robots operating in the real world, the safety-critical design often needs to explicitly address uncertainties and the pre-computed guarantees often rely on…

机器人学 · 计算机科学 2024-07-09 Hao Zhou , Yanze Zhang , Wenhao Luo

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…

系统与控制 · 电气工程与系统科学 2025-09-01 Pio Ong , Yicheng Xu , Ryan M. Bena , Faryar Jabbari , Aaron D. Ames

Certifying the safety of nonlinear systems, through the lens of set invariance and control barrier functions (CBFs), offers a powerful method for controller synthesis, provided a CBF can be constructed. This paper draws connections between…

系统与控制 · 电气工程与系统科学 2024-06-18 Max H. Cohen , Ryan K. Cosner , Aaron D. Ames

This tutorial provides a critical review of the practical application of Control Barrier Functions (CBFs) in robotic safety. While the theoretical foundations of CBFs are well-established, I identify a recurring gap between the mathematical…

机器人学 · 计算机科学 2026-03-10 Taekyung Kim

Safe control in unknown environments is a significant challenge in robotics. While Control Barrier Functions (CBFs) are widely used to guarantee system safety, they often assume known environments with predefined obstacles. The proposed…

机器人学 · 计算机科学 2024-09-16 Golnaz Raja , Teemu Mökkönen , Reza Ghabcheloo

Inspired by the success of imitation and inverse reinforcement learning in replicating expert behavior through optimal control, we propose a learning based approach to safe controller synthesis based on control barrier functions (CBFs). We…

系统与控制 · 电气工程与系统科学 2020-11-10 Alexander Robey , Haimin Hu , Lars Lindemann , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni

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…

系统与控制 · 计算机科学 2018-05-03 Yuxiao Chen , Ayonga Hereid , Huei Peng , Jessy Grizzle

We present a novel variational framework for performing inference in (neural) stochastic differential equations (SDEs) driven by Markov-approximate fractional Brownian motion (fBM). SDEs offer a versatile tool for modeling real-world…

机器学习 · 计算机科学 2023-10-20 Rembert Daems , Manfred Opper , Guillaume Crevecoeur , Tolga Birdal