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Motivated by the key role of control barrier functions (CBFs) in assessing safety and enabling the synthesis of safe controllers in nonlinear control systems, this paper presents a suite of converse results on CBFs. Given any safe set, we…

Optimization and Control · Mathematics 2025-02-13 Pol Mestres , Jorge Cortés

This article introduces a safe control strategy for application of forces to an external object using a dexterous robotic arm mounted on an unmanned Aerial Vehicle (UAV). A hybrid force-motion controller has been developed for this purpose.…

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…

Optimization and Control · Mathematics 2023-03-15 Devansh Agrawal , Dimitra Panagou

Compositional barrier functions are proposed in this paper to systematically compose multiple objectives for teams of mobile robots. The objectives are first encoded as barrier functions, and then composed using AND and OR logical…

Robotics · Computer Science 2016-08-25 Li Wang , Aaron D. Ames , Magnus Egerstedt

This paper presents a safe learning framework that employs an adaptive model learning algorithm together with barrier certificates for systems with possibly nonstationary agent dynamics. To extract the dynamic structure of the model, we use…

Machine Learning · Computer Science 2019-08-07 Motoya Ohnishi , Li Wang , Gennaro Notomista , Magnus Egerstedt

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

We study the multi-agent safe control problem where agents should avoid collisions to static obstacles and collisions with each other while reaching their goals. Our core idea is to learn the multi-agent control policy jointly with learning…

Multiagent Systems · Computer Science 2021-04-20 Zengyi Qin , Kaiqing Zhang , Yuxiao Chen , Jingkai Chen , Chuchu Fan

Assuring system stability is typically a major control design objective. In this paper, we present a system where instability provides a crucial benefit. We consider multi-agent collision avoidance using Control Barrier Functions (CBF) and…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Mrdjan Jankovic , Mario Santillo , Yan Wang

Control barrier functions (CBFs) are widely used in safety-critical controllers. However, constructing a valid CBF is challenging, especially under nonlinear or non-convex constraints and for high relative degree systems. Meanwhile, finding…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Bolun Dai , Prashanth Krishnamurthy , Farshad Khorrami

We propose a design method for a robust safety filter based on Input Constrained Control Barrier Functions (ICCBF) for car-like robots moving in complex environments. A robust ICCBF that can be efficiently implemented is obtained by…

Robotics · Computer Science 2024-02-21 Sven Brüggemann , Dominic Nightingale , Jack Silberman , Maurício de Oliveira

In this paper, we extend a framework that we developed earlier for coordination of connected and automated vehicles (CAVs) at a signal-free intersection by integrating a safety layer using control barrier functions. First, in our motion…

Systems and Control · Electrical Eng. & Systems 2022-12-16 Behdad Chalaki , Andreas A. Malikopoulos

Ensuring both performance and safety is critical for autonomous systems operating in real-world environments. While safety filters such as Control Barrier Functions (CBFs) enforce constraints by modifying nominal controllers in real time,…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Aditya Singh , Aastha Mishra , Manan Tayal , Shishir Kolathaya , Pushpak Jagtap

Control Barrier Functions (CBFs) aim to ensure safety by constraining the control input at each time step so that the system state remains within a desired safe region. This paper presents a framework for CBFs in stochastic systems in the…

Optimization and Control · Mathematics 2020-10-20 Andrew Clark

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

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…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Max H. Cohen , Ryan K. Cosner , Aaron D. Ames

We study the problem of co-designing control barrier functions (CBF) and linear state feedback controllers for continuous-time linear systems. We achieve this by means of a single semi-definite optimization program. Our formulation can…

Optimization and Control · Mathematics 2024-03-19 Han Wang , Kostas Margellos , Antonis Papachristodoulou , Claudio De Persis

Safe operation of multi-robot systems is critical, especially in communication-degraded environments such as underwater for seabed mapping, underground caves for navigation, and in extraterrestrial missions for assembly and construction. We…

Robotics · Computer Science 2025-05-21 Luca Ballotta , Rajat Talak

Robust control barrier functions (CBFs) provide a principled mechanism for smooth safety enforcement under worst-case disturbances. However, existing approaches typically rely on explicit, closed-form structure in the dynamics (e.g.,…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Donggeon David Oh , Duy P. Nguyen , Haimin Hu , Jaime Fernández Fisac

Control Barrier Functions (CBFs) provide a powerful framework for ensuring safety in dynamical systems. However, their application typically relies on full state information, which is often violated in real-world due to the availability of…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Vaishnavi Jagabathula , Ahan Basu , Pushpak Jagtap

This paper presents an approach to deal with safety of dynamical systems in presence of multiple non-convex unsafe sets. While optimal control and model predictive control strategies can be employed in these scenarios, they suffer from high…

Systems and Control · Electrical Eng. & Systems 2021-06-14 Gennaro Notomista , Matteo Saveriano