English
Related papers

Related papers: A Duality-Based Optimization Formulation of Safe C…

200 papers

Industrial control applications require high performance under strict constraints. Control barrier functions (CBFs) provide principled safety mechanisms, but constructing CBF-based safety filters for large-scale systems is challenging. We…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Kim P. Wabersich , Felix Berkel , Felix Gruber , Sven Reimann

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

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

Adaptive control has focused on online control of dynamic systems in the presence of parametric uncertainties, with solutions guaranteeing stability and control performance. Safety, a related property to stability, is becoming increasingly…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Johannes Autenrieb , Anuradha M. Annaswamy

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

We consider the problem of navigating a nonlinear dynamical system from some initial set to some target set while avoiding collision with an unsafe set. We extend the concept of density function to control density function (CDF) for solving…

Systems and Control · Electrical Eng. & Systems 2024-03-22 Joseph Moyalan , Sriram S. K. S Narayanan , Andrew Zheng , Umesh Vaidya

Balancing safety and performance is one of the predominant challenges in modern control system design. Moreover, it is crucial to robustly ensure safety without inducing unnecessary conservativeness that degrades performance. In this work…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Anil Alan , Andrew J. Taylor , Chaozhe R. He , Aaron D. Ames , Gabor Orosz

Control barrier functions (CBFs) offer an efficient framework for designing real-time safe controllers. However, CBF-based controllers can be short-sighted, resulting in poor performance, a behaviour which is aggravated in uncertain…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Allan Andre do Nascimento , Antonis Papachristodoulou , Kostas Margellos

Safe navigation for an ego vehicle in uncertain environments characterized by dynamic obstacles with unknown nonlinear dynamics is a challenging problem of significant practical interest. Existing approaches in the literature either lack…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Jiwon Lee , Hugo Matias , Daniel Silvestre , Thinh T. Doan

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

Safety filters based on Control Barrier Functions (CBFs) provide formal guarantees of forward invariance, but are often difficult to implement in networked dynamical systems. This is due to global coupling and communication requirements.…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Emiliano Dall'Anese

Control barrier functions (CBFs) have seen widespread success in providing forward invariance and safety guarantees for dynamical control systems. A crucial limitation of discrete-time formulations is that CBFs that are nonconcave in their…

Systems and Control · Electrical Eng. & Systems 2025-10-14 James Usevitch , Juan Augusto Paredes Salazar , Ankit Goel

A fundamental and classical problem in mobile autonomous systems is maintaining the safety of autonomous agents during deployment. Prior literature has presented techniques using control barrier functions (CBFs) to achieve this goal. These…

Optimization and Control · Mathematics 2025-03-18 James Usevitch , Jackson Sahleen

Control barrier function (CBF)-based safety filters provide a systematic way to enforce state constraints, but they can significantly alter the closed-loop dynamics induced by a nominal, stabilizing controller. In particular, the resulting…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Yiting Chen , Pol Mestres , Emiliano Dall'Anese , Jorge Cortés

In this work, we consider the problem of designing a safety filter for a nonlinear uncertain control system. Our goal is to augment an arbitrary controller with a safety filter such that the overall closed-loop system is guaranteed to stay…

Robotics · Computer Science 2022-04-11 Lukas Brunke , Siqi Zhou , Angela P. Schoellig

Control Barrier Functions (CBFs) have proven to be an effective tool for performing safe control synthesis for nonlinear systems. However, guaranteeing safety in the presence of disturbances and input constraints for high relative degree…

Optimization and Control · Mathematics 2026-01-21 Luzia Knoedler , Oswin So , Ji Yin , Mitchell Black , Zachary Serlin , Panagiotis Tsiotras , Javier Alonso-Mora , Chuchu Fan

In this paper, we propose a quadratic programming-based filter for safe and stable controller design, via a Control Barrier Function (CBF) and a Control Lyapunov Function (CLF). Our method guarantees safety and local asymptotic stability…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Han Wang , Kostas Margellos , Antonis Papachristodoulou

This paper considers enforcing safety and stability of dynamical systems in the presence of model uncertainty. Safety and stability constraints may be specified using a control barrier function (CBF) and a control Lyapunov function (CLF),…

Optimization and Control · Mathematics 2023-03-17 Kehan Long , Yinzhuang Yi , Jorge Cortes , Nikolay Atanasov

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

In emerging control applications involving multiple and complex tasks, safety filters are gaining prominence as a modular approach to enforcing safety constraints. Among various methods, control barrier functions (CBFs) are widely used for…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Jason J. Choi , Claire J. Tomlin , Shankar Sastry , Koushil Sreenath