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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…

Robotics · Computer Science 2026-03-25 Jianye Xu , Chang Che , Bassam Alrifaee

This paper presents a control strategy based on a new notion of time-varying fixed-time convergent control barrier functions (TFCBFs) for a class of coupled multi-agent systems under signal temporal logic (STL) tasks. In this framework,…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Maryam Sharifi , Dimos V. Dimarogonas

Safety-critical control tasks with high levels of uncertainty are becoming increasingly common. Typically, techniques that guarantee safety during learning and control utilize constraint-based safety certificates, which can be leveraged to…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Alexandre Capone , Ryan Cosner , Aaron Ames , Sandra Hirche

Deterministic model predictive control (MPC), while powerful, is often insufficient for effectively controlling autonomous systems in the real-world. Factors such as environmental noise and model error can cause deviations from the expected…

Optimization and Control · Mathematics 2024-07-29 Alex Oshin , Hassan Almubarak , Evangelos A. Theodorou

Safety-critical whole-body robot control demands reactive methods that ensure collision avoidance in real-time. Complementarity constraints and control barrier functions (CBF) have emerged as core tools for ensuring such safety constraints,…

This paper presents a novel approach for the safe control design of systems with parametric uncertainties in both drift terms and control-input matrices. The method combines control barrier functions and adaptive laws to generate a safe…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yujie Wang , Xiangru Xu

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…

Systems and Control · Electrical Eng. & Systems 2025-02-03 Ersin Das , Joel W. Burdick

This paper presents an approach to design control barrier functions (CBFs) for arbitrary state and input constraints using tools from the reference governor literature. In particular, it is shown that dynamic safety margins (DSMs) are CBFs…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Victor Freire , Marco M. Nicotra

This paper presents an efficient and safe method to avoid static and dynamic obstacles based on LiDAR. First, point cloud is used to generate a real-time local grid map for obstacle detection. Then, obstacles are clustered by DBSCAN…

Robotics · Computer Science 2022-09-20 Zhuozhu Jian , Zihong Yan , Xuanang Lei , Zihong Lu , Bin Lan , Xueqian Wang , Bin Liang

Control Barrier Functions (CBFs) that provide formal safety guarantees have been widely used for safety-critical systems. However, it is non-trivial to design a CBF. Utilizing neural networks as CBFs has shown great success, but it…

Systems and Control · Electrical Eng. & Systems 2023-11-20 Xinyu Wang , Luzia Knoedler , Frederik Baymler Mathiesen , Javier Alonso-Mora

To deploy safe and agile robots in cluttered environments, there is a need to develop fully decentralized controllers that guarantee safety, respect actuation limits, prevent deadlocks, and scale to thousands of agents. Current approaches…

Robotics · Computer Science 2024-09-17 Vrushabh Zinage , Abhishek Jha , Rohan Chandra , Efstathios Bakolas

Safety-critical control systems, such as spacecraft performing proximity operations, must provide formal safety guarantees despite stochastic uncertainties from state estimation and unmodeled dynamics. Although Control Barrier Functions…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Kazuya Echigo , David E. J. van Wijk , Pol Mestres , Ersin Daş , Joel W. Burdick , Aaron D. Ames

Control barrier functions (CBFs) are important in safety-critical systems and robot control applications. Neural networks have been used to parameterize and synthesize CBFs with bounded control input for complex systems. However, it is…

Robotics · Computer Science 2024-10-23 Hanjiang Hu , Yujie Yang , Tianhao Wei , Changliu Liu

This article presents a closed-form adaptive controlbarrier-function (CBF) approach for satisfying state constraints in systems with parametric uncertainty. This approach uses a sampled-data recursive-least-squares algorithm to estimate the…

Systems and Control · Electrical Eng. & Systems 2024-11-21 Ricardo Gutierrez , Jesse B. Hoagg

High-dimensional robot dynamic trajectory planning poses many challenges for traditional planning algorithms. Existing planning methods suffer from issues such as long computation times, limited capacity to address intricate obstacle…

Robotics · Computer Science 2024-06-25 Lihao Xu , Xiaogang Xiong , Bai Yang , Yunjiang Lou

We propose a novel class of risk-aware control barrier functions (RA-CBFs) for the control of stochastic safety-critical systems. Leveraging a result from the stochastic level-crossing literature, we deviate from the martingale theory that…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Danil Prokhorov , Dimitra Panagou

Recent advances in Deep Machine Learning have shown promise in solving complex perception and control loops via methods such as reinforcement and imitation learning. However, guaranteeing safety for such learned deep policies has been a…

Robotics · Computer Science 2020-03-03 Tom Hirshberg , Sai Vemprala , Ashish Kapoor

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…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Pedram Rabiee , Jesse B. Hoagg

In this paper, we consider the problem of safe control synthesis of general controlled nonlinear systems in the presence of bounded additive disturbances. Towards this aim, we first construct a governing augmented state space model…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Vrushabh Zinage , Rohan Chandra , Efstathios Bakolas

Safety constraints of nonlinear control systems are commonly enforced through the use of control barrier functions (CBFs). Uncertainties in the dynamic model can disrupt forward invariance guarantees or cause the state to be restricted to…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Hannah M. Sweatland , Omkar Sudhir Patil , Warren E. Dixon