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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…

最优化与控制 · 数学 2025-03-21 Xiaoyang Cao , Zhe Fu , Alexandre M. Bayen

Using control barrier functions (CBFs) as safety filters provides a computationally inexpensive yet effective method for constructing controllers in safety-critical applications. However, using CBFs requires the construction of a valid CBF,…

系统与控制 · 电气工程与系统科学 2024-02-15 Bolun Dai , Prashanth Krishnamurthy , Farshad Khorrami

Safety has been a critical issue for the deployment of learning-based approaches in real-world applications. To address this issue, control barrier function (CBF) and its variants have attracted extensive attention for safety-critical…

机器学习 · 计算机科学 2023-05-08 Alaa Eddine Chriat , Chuangchuang Sun

Control systems operating in the real world face countless sources of unpredictable uncertainties. These random disturbances can render deterministic guarantees inapplicable and cause catastrophic safety failures. To overcome this, this…

系统与控制 · 电气工程与系统科学 2026-02-10 Pol Mestres , Blake Werner , Ryan K. Cosner , Aaron D. Ames

Control Barrier Functions (CBFs) have been widely utilized in the design of optimization-based controllers and filters for dynamical systems to ensure forward invariance of a given set of safe states. While CBF-based controllers offer…

系统与控制 · 电气工程与系统科学 2025-04-14 Damola Ajeyemi , Saber Jafarpour , Emiliano Dall'Anese

We propose a method for combining Harmonic Control Lyapunov-Barrier Functions (HCLBFs) derived from Signal Temporal Logic (STL) specifications with any given robot policy to turn an unsafe policy into a safe one with formal guarantees. The…

机器人学 · 计算机科学 2025-11-19 Marlow Fawn , Matthias Scheutz

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

This tutorial provides a critical review of the practical application of Control Barrier Functions (CBFs) in robotic safety. While the theoretical foundations of CBFs are well-established, I identify a recurring gap between the mathematical…

机器人学 · 计算机科学 2026-03-10 Taekyung Kim

Dynamic obstacle avoidance is a challenging topic for optimal control and optimization-based trajectory planning problems. Many existing works use Control Barrier Functions (CBFs) to enforce safety constraints for control systems. CBFs are…

机器人学 · 计算机科学 2025-02-10 Shuo Liu , Yihui Mao , Calin A. Belta

Hamilton-Jacobi (HJ) reachability analysis provides a formal method for guaranteeing safety in constrained control problems. It synthesizes a value function to represent a long-term safe set called feasible region. Early synthesis methods…

系统与控制 · 电气工程与系统科学 2025-08-01 Yujie Yang , Hanjiang Hu , Tianhao Wei , Shengbo Eben Li , Changliu Liu

Control barrier functions (CBFs) provide a principled framework for enforcing safety in control systems -- yet the certified safe operating region in practice is often conservative, especially under input bounds. In many applications,…

系统与控制 · 电气工程与系统科学 2026-04-07 Pio Ong , David E. J. van Wijk , Massimiliano de Sa , Joel W. Burdick , Aaron D. Ames

The prolific rise in autonomous systems has led to questions regarding their safe instantiation in real-world scenarios. Failures in safety-critical contexts such as human-robot interactions or even autonomous driving can ultimately lead to…

系统与控制 · 电气工程与系统科学 2020-04-10 Prithvi Akella , Mohamadreza Ahmadi , Richard M. Murray , Aaron D. Ames

Ensuring the safety of dynamical systems is crucial, where collision avoidance is a primary concern. Recently, control barrier functions (CBFs) have emerged as an effective method to integrate safety constraints into control synthesis…

系统与控制 · 电气工程与系统科学 2025-08-21 Shiqing Wei , Rooholla Khorrambakht , Prashanth Krishnamurthy , Vinicius Mariano Gonçalves , Farshad Khorrami

Guaranteeing safety for robotic and autonomous systems in real-world environments is a challenging task that requires the mitigation of stochastic uncertainties. Control barrier functions have, in recent years, been widely used for…

系统与控制 · 电气工程与系统科学 2022-03-31 Andrew Singletary , Mohamadreza Ahmadi , Aaron D. Ames

Correct-by-construction techniques, such as control barrier functions (CBFs), can be used to guarantee closed-loop safety by acting as a supervisor of an existing or legacy controller. However, supervisory-control intervention typically…

系统与控制 · 计算机科学 2018-05-03 Yuxiao Chen , Ayonga Hereid , Huei Peng , Jessy Grizzle

Control Barrier Functions (CBFs) have emerged as a powerful tool in the design of safety-critical controllers for nonlinear systems. In modern applications, complex systems often involve the feedback interconnection of subsystems evolving…

最优化与控制 · 数学 2026-04-03 Stefano Di Gregorio , Guido Carnevale , Giuseppe Notarstefano

This paper addresses the problem of guaranteeing safety of multiple coordinated agents moving in dynamic environments. It has recently been shown that this problem can be efficiently solved through the notion of Control Barrier Functions…

系统与控制 · 电气工程与系统科学 2025-04-11 Aurora Haraldsen , Josef Matous , Kristin Y. Pettersen

This paper presents a novel safety filter framework that ensures both safety and the preservation of the legacy control action within a nominal region. This modular design allows the safety filter to be integrated into the control hierarchy…

系统与控制 · 电气工程与系统科学 2026-01-21 Michael Schneeberger , Silvia Mastellone , Florian Dörfler

Control Barrier Functions (CBFs) have been demonstrated to be a powerful tool for safety-critical controller design for nonlinear systems. Existing design paradigms do not address the gap between theory (controller design with continuous…

系统与控制 · 电气工程与系统科学 2022-06-15 Andrew J. Taylor , Victor D. Dorobantu , Ryan K. Cosner , Yisong Yue , Aaron D. Ames

Control barrier functions (CBF) have become popular as a safety filter to guarantee the safety of nonlinear dynamical systems for arbitrary inputs. However, it is difficult to construct functions that satisfy the CBF constraints for high…

最优化与控制 · 数学 2023-12-06 Oswin So , Zachary Serlin , Makai Mann , Jake Gonzales , Kwesi Rutledge , Nicholas Roy , Chuchu Fan