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In this paper, we propose a safety-critical controller based on time-varying control barrier functions (CBFs) for a robot with an unicycle model in the continuous-time domain to achieve navigation and dynamic collision avoidance. Unlike…

Robotics · Computer Science 2023-07-18 Jihao Huang , Zhitao Liu , Jun Zeng , Xuemin Chi , Hongye Su

Learning-based control has recently shown great efficacy in performing complex tasks for various applications. However, to deploy it in real systems, it is of vital importance to guarantee the system will stay safe. Control Barrier…

Systems and Control · Electrical Eng. & Systems 2024-09-05 Fernando Castañeda , Jason J. Choi , Wonsuhk Jung , Bike Zhang , Claire J. Tomlin , Koushil Sreenath

This paper considers the general problem of transitioning theoretically safe controllers to hardware. Concretely, we explore the application of control barrier functions (CBFs) to sampled-data systems: systems that evolve continuously but…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Andrew Singletary , Yuxiao Chen , Aaron D. Ames

In this paper we address the problem of control Lyapunov-barrier function (CLBF)-based safe stabilization for a class of nonlinear control-affine systems. A difficulty may arise for the case when a constraint has the relative degree larger…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Haechan Pyon , Gyunghoon Park

Hybrid dynamical systems are ubiquitous as practical robotic applications often involve both continuous states and discrete switchings. Safety is a primary concern for hybrid robotic systems. Existing safety-critical control approaches for…

Robotics · Computer Science 2024-12-02 Shuo Yang , Yu Chen , Xiang Yin , George J. Pappas , Rahul Mangharam

We consider the problem of synthesis of safe controllers for nonlinear systems with unknown dynamics using Control Barrier Functions (CBF). We utilize Koopman operator theory (KOT) to associate the (unknown) nonlinear system with a higher…

Systems and Control · Electrical Eng. & Systems 2022-09-19 Vrushabh Zinage , Efstathios Bakolas

This paper proposes a control design approach for stabilizing nonlinear control systems. Our key observation is that the set of points where the decrease condition of a control Lyapunov function (CLF) is feasible can be regarded as a safe…

Optimization and Control · Mathematics 2024-08-19 Pol Mestres , Kehan Long , Melvin Leok , Nikolay Atanasov , Jorge Cortes

Control barrier functions-based quadratic programming (CBF-QP) is gaining popularity as an effective controller synthesis tool for safe control. However, the provable safety is established on an accurate dynamic model and access to all…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Jinfeng Chen , Zhiqiang Gao , Qin Lin

Multi-quadrotor systems face significant challenges in decentralized control, particularly with safety and coordination under sensing and communication limitations. State-of-the-art methods leverage Control Barrier Functions (CBFs) to…

Robotics · Computer Science 2024-09-27 Manohari Goarin , Guanrui Li , Alessandro Saviolo , Giuseppe Loianno

Safety-critical control is a crucial aspect of modern systems, and Control Barrier Functions (CBFs) have gained popularity as the framework of choice for ensuring safety. However, implementing a CBF requires exact knowledge of the true…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Rahal Nanayakkara , Aaron D. Ames , Paulo Tabuada

Safe navigation of autonomous robots remains one of the core challenges in the field, especially in dynamic and uncertain environments. One of the prevalent approaches is safety filtering based on control barrier functions (CBFs), which are…

Robotics · Computer Science 2026-03-10 Bojan Derajić , Sebastian Bernhard , Wolfgang Hönig

This paper focuses on safety filters designed based on Control Barrier Functions (CBFs): these are modifications of a nominal stabilizing controller typically utilized in safety-critical control applications to render a given subset of…

Optimization and Control · Mathematics 2025-01-17 Pol Mestres , Yiting Chen , Emiliano Dall'anese , Jorge Cortés

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…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Pedram Rabiee , Jesse B. Hoagg

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 safety-guaranteed, runtime-efficient imitation learning framework for spacecraft close proximity control. We leverage Control Barrier Functions (CBFs) for safety certificates and Control Lyapunov Functions (CLFs) for…

Robotics · Computer Science 2026-03-20 Alexander Meinert , Niklas Baldauf , Peter Stadler , Alen Turnwald

Safe real-time control of robotic manipulators in unstructured environments requires handling numerous safety constraints without compromising task performance. Traditional approaches, such as artificial potential fields (APFs), suffer from…

Robotics · Computer Science 2025-10-21 Daniel Morton , Marco Pavone

This paper addresses the challenge of integrating explicit hard constraints into the control barrier function (CBF) framework for ensuring safety in autonomous systems, including robots. We propose a novel data-driven method to derive CBFs…

Robotics · Computer Science 2023-12-14 Jaemin Lee , Jeeseop Kim , Aaron D. Ames

Control Barrier Functions (CBFs) are an effective methodology to ensure safety and performative efficacy in real-time control applications such as power systems, resource allocation, autonomous vehicles, robotics, etc. This approach ensures…

Optimization and Control · Mathematics 2024-09-30 Samy Wu Fung , Levon Nurbekyan

This paper presents a comprehensive approach for the safety-critical control of robotic manipulators operating in dynamic environments. Building upon the framework of Control Barrier Functions (CBFs), we extend the collision cone…

Robotics · Computer Science 2025-03-04 Lucas Almeida

We address the problem of optimizing the performance of a dynamic system while satisfying hard safety constraints at all times. Implementing an optimal control solution is limited by the computational cost required to derive it in real…

Systems and Control · Electrical Eng. & Systems 2020-08-19 Wei Xiao , Christos G. Cassandras , Calin A. Belta