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We present an optimisation-based approach to ensure robust asymptotic stability stability of a desired set in the state space of nonlinear dynamical systems, while optimising a general control objective. The approach relies on the decrease…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Alexandre Didier , Melanie N. Zeilinger

Connected automated vehicles have shown great potential to improve the efficiency of transportation systems in terms of passenger comfort, fuel economy, stability of driving behavior and mitigation of traffic congestions. Yet, to deploy…

Systems and Control · Electrical Eng. & Systems 2023-09-04 Tamas G. Molnar , Gabor Orosz , Aaron D. Ames

This paper presents a decentralized Control Barrier Function (CBF) based approach for highway merging of Connected and Automated Vehicles (CAVs). In this control algorithm, each "host" vehicle negotiates with other agents in a control zone…

Systems and Control · Electrical Eng. & Systems 2025-10-31 Shreshta Rajakumar Deshpande , Mrdjan Jankovic

This paper presents a novel hierarchical, safety-critical control framework that integrates distributed nonlinear model predictive controllers (DNMPCs) with control barrier functions (CBFs) to enable cooperative locomotion of multi-agent…

This paper proposes a cascaded control framework for quadrotor trajectory tracking with formal safety guarantees. First, we design a controller consisting of an outer-loop position model predictive control (MPC) and an inner-loop nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-10-08 Ming Gao , Zhanglin Shangguan , Shuo Liu , Liang Wu , Bo Yang , Wei Xiao

Safe motion planning is essential for autonomous vessel operations, especially in challenging spaces such as narrow inland waterways. However, conventional motion planning approaches are often computationally intensive or overly…

This paper investigates the problem of composing multiple control barrier functions (CBFs) -- and matrix control barrier functions (MCBFs) -- through logical and combinatorial operations. Standard CBF formulations naturally enable…

Systems and Control · Electrical Eng. & Systems 2025-12-22 Pio Ong , Haejoon Lee , Tamas G. Molnar , Dimitra Panagou , Aaron D. Ames

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, the safety-critical control problem for uncertain systems under multiple control barrier function (CBF) constraints and input constraints is investigated. A novel framework is proposed to generate a safety filter that…

Systems and Control · Electrical Eng. & Systems 2025-03-21 Jinyang Dong , Shizhen Wu , Rui Liu , Xiao Liang , Biao Lu , Yongchun Fang

Achieving safe autonomous navigation systems is critical for deploying robots in dynamic and uncertain real-world environments. In this paper, we propose a hierarchical control framework leveraging neural network verification techniques to…

Artificial Intelligence · Computer Science 2025-05-01 Luca Marzari , Francesco Trotti , Enrico Marchesini , Alessandro Farinelli

Autonomous robot navigation can be particularly demanding, especially when the surrounding environment is not known and safety of the robot is crucial. This work relates to the synthesis of Control Barrier Functions (CBFs) through data for…

Robotics · Computer Science 2024-07-30 Marvin Harms , Mihir Kulkarni , Nikhil Khedekar , Martin Jacquet , Kostas Alexis

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

Safe autonomy is a critical requirement and a key enabler for robots to operate safely in unstructured complex environments. Control barrier functions and safe motion corridors are two widely used but technically distinct safety methods,…

Robotics · Computer Science 2026-03-09 Ömür Arslan , Nikolay Atanasov

This article introduces the Pareto Control Barrier Function (PCBF) algorithm to maximize the inner safe set of dynamical systems under input constraints. Traditional Control Barrier Functions (CBFs) ensure safety by maintaining system…

Optimization and Control · Mathematics 2025-03-21 Xiaoyang Cao , Zhe Fu , Alexandre M. Bayen

We present a dual-barrier control barrier function (CBF) safety filter for real-time, safety-critical velocity control of holonomic robots operating in incrementally built occupancy grid maps. As a robot explores an unknown environment,…

While learning-based control techniques often outperform classical controller designs, safety requirements limit the acceptance of such methods in many applications. Recent developments address this issue through so-called predictive safety…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Kim P. Wabersich , Melanie N. Zeilinger

Safety filters, particularly those based on control barrier functions, have gained increased interest as effective tools for safe control of dynamical systems. Existing correct-by-construction synthesis algorithms for such filters, however,…

Machine Learning · Computer Science 2025-09-19 Ihab Tabbara , Hussein Sibai

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…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Shuo Yang , Mitchell Black , Georgios Fainekos , Bardh Hoxha , Hideki Okamoto , Rahul Mangharam

Learning-based methods for constructing control barrier functions (CBFs) are gaining popularity for ensuring safe robot control. A major limitation of existing methods is their reliance on extensive sampling over the state space or online…

Systems and Control · Electrical Eng. & Systems 2025-03-17 Hongzhan Yu , Seth Farrell , Ryo Yoshimitsu , Zhizhen Qin , Henrik I. Christensen , Sicun Gao

The increasing complexity of modern robotic systems and the environments they operate in necessitates the formal consideration of safety in the presence of imperfect measurements. In this paper we propose a rigorous framework for…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Ryan K. Cosner , Andrew W. Singletary , Andrew J. Taylor , Tamas G. Molnar , Katherine L. Bouman , Aaron D. Ames
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