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This paper addresses the problem of safety-critical control for systems with unknown dynamics. It has been shown that stabilizing affine control systems to desired (sets of) states while optimizing quadratic costs subject to state and…

系统与控制 · 电气工程与系统科学 2021-03-31 Wei Xiao , Calin Belta , Christos G. Cassandras

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…

系统与控制 · 电气工程与系统科学 2026-04-03 Yiting Chen , Pol Mestres , Emiliano Dall'Anese , Jorge Cortés

Control Barrier Functions (CBFs) have become a popular tool for enforcing set invariance in safety-critical control systems. While guaranteeing safety, most CBF approaches are myopic in the sense that they solve an optimization problem at…

系统与控制 · 电气工程与系统科学 2020-08-11 Max Cohen , Calin Belta

We study feasibility guarantees for safety filters developed using Control Barrier Functions (CBFs) when a safe set is defined using the pointwise minimum of continuously differentiable functions, a construction that is common for the…

最优化与控制 · 数学 2026-04-13 Anil Alan , Bart De Schutter

Control Barrier Functions (CBFs) allow for efficient synthesis of controllers to maintain desired invariant properties of safety-critical systems. However, the problem of identifying a CBF remains an open question. As such, this paper…

系统与控制 · 电气工程与系统科学 2023-04-11 Prithvi Akella , Apurva Badithela , Richard M. Murray , Aaron D. Ames

Control barrier functions (CBFs) offer a powerful tool for enforcing safety specifications in control synthesis. This paper deals with the problem of constructing valid CBFs. Given a second-order system and any desired safety set with…

系统与控制 · 电气工程与系统科学 2025-03-17 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

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.,…

系统与控制 · 电气工程与系统科学 2026-04-16 Donggeon David Oh , Duy P. Nguyen , Haimin Hu , Jaime Fernández Fisac

Among the promising approaches to enforce safety in control systems, learning Control Barrier Functions (CBFs) from expert demonstrations has emerged as an effective strategy. However, a critical challenge remains: verifying that the…

机器人学 · 计算机科学 2025-07-22 Sumeadh MS , Kevin Dsouza , Ravi Prakash

Ensuring the safety of control systems often requires the satisfaction of constraints on states (such as position or velocity), control inputs (such as force), and a mixture of states and inputs (such as power that depends on both velocity…

系统与控制 · 电气工程与系统科学 2026-03-19 Laszlo Gacsi , Adam K. Kiss , Ersin Das , Tamas G. Molnar

Applications that require multi-robot systems to operate independently for extended periods of time in unknown or unstructured environments face a broad set of challenges, such as hardware degradation, changing weather patterns, or…

机器人学 · 计算机科学 2021-04-16 Yousef Emam , Paul Glotfelter , Sean Wilson , Gennaro Notomista , Magnus Egerstedt

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…

系统与控制 · 电气工程与系统科学 2021-04-30 Ryan K. Cosner , Andrew W. Singletary , Andrew J. Taylor , Tamas G. Molnar , Katherine L. Bouman , Aaron D. Ames

In this paper, we introduce a class of future-focused control barrier functions (ff-CBF) aimed at improving traditionally myopic CBF based control design and study their efficacy in the context of an unsignaled four-way intersection…

最优化与控制 · 数学 2022-10-05 Mitchell Black , Mrdjan Jankovic , Abhishek Sharma , Dimitra Panagou

Control Barrier Functions (CBFs) have emerged as a powerful paradigm in control theory, providing a principled approach to enforcing safety-critical constraints in dynamic systems. This survey paper comprehensively explores the foundational…

系统与控制 · 电气工程与系统科学 2024-08-27 Promit Panja

We propose a constricting Control Barrier Function (CBF) framework for prescribed-time control of control-affine systems with input constraints. Given a system starting outside a target safe set, we construct a time-varying safety tube that…

最优化与控制 · 数学 2026-03-19 Darshan Gadginmath , Ahmed Allibhoy , Fabio Pasqualetti

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…

系统与控制 · 电气工程与系统科学 2022-10-12 Bolun Dai , Prashanth Krishnamurthy , Farshad Khorrami

Control barrier functions provide a powerful means for synthesizing safety filters that ensure safety framed as forward set invariance. Key to CBFs' effectiveness is the simple inequality on the system dynamics: $\dot{h} \geq - \alpha(h)$.…

系统与控制 · 电气工程与系统科学 2025-07-18 Pio Ong , Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

In safety-critical control systems, ensuring both system safety and smooth control input is essential for practical deployment. Existing Control Barrier Function (CBF) frameworks, especially High-Order CBFs (HOCBFs), effectively enforce…

系统与控制 · 电气工程与系统科学 2026-03-11 Shuo Liu , Wei Xiao , Calin A. Belta

This paper presents a sampled-data framework for the safe navigation of controlled agents in environments cluttered with obstacles governed by uncertain linear dynamics. Collision-free motion is achieved by combining Control Barrier…

系统与控制 · 电气工程与系统科学 2026-01-13 Hugo Matias , Daniel Silvestre

For a broad class of nonlinear systems, we formulate the problem of guaranteeing safety with optimality under constraints. Specifically, we define controlled safety for differential inclusions with constraints on the states and the inputs.…

最优化与控制 · 数学 2022-11-24 Masoumeh Ghanbarpour , Axton Isaly , Ricardo G. Sanfelice , Warren E. Dixon

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…

机器人学 · 计算机科学 2023-12-14 Jaemin Lee , Jeeseop Kim , Aaron D. Ames