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Related papers: Safety-critical Control with Control Barrier Funct…

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This work proposes an optimal safe controller minimizing an infinite horizon cost functional subject to control barrier functions (CBFs) safety conditions. The constrained optimal control problem is reformulated as a minimization problem of…

Systems and Control · Electrical Eng. & Systems 2022-02-03 Hassan Almubarak , Evangelos A. Theodorou , Nader Sadegh

In safety-critical control systems, ensuring both safety and feasibility under sampled-data implementations is crucial for practical deployment. Existing Control Barrier Function (CBF) frameworks, such as High-Order CBFs (HOCBFs),…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Shuo Liu , Wei Xiao , Calin A. Belta

Construction automation increasingly requires autonomous mobile robots, yet robust autonomy remains challenging on construction sites. These environments are dynamic and often visually occluded, which complicates perception and navigation.…

Robotics · Computer Science 2026-02-16 Johannes Mootz , Reza Akhavian

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…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Damola Ajeyemi , Saber Jafarpour , Emiliano Dall'Anese

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

This paper proposes a safety-critical control design approach for nonlinear control affine systems in the presence of matched and unmatched uncertainties. Our constructive framework couples control barrier function (CBF) theory with a new…

Systems and Control · Electrical Eng. & Systems 2025-02-03 Ersin Das , Joel W. Burdick

Safety is a fundamental requirement of control systems. Control Barrier Functions (CBFs) are proposed to ensure the safety of the control system by constructing safety filters or synthesizing control inputs. However, the safety guarantee…

Robotics · Computer Science 2024-03-29 Manan Tayal , Hongchao Zhang , Pushpak Jagtap , Andrew Clark , Shishir Kolathaya

This work introduces a novel Proxy Control Barrier Function (PCBF) scheme that integrates barrier-based and Lyapunov-based safety-critical control strategies for strict-feedback systems with potentially unknown dynamics. The proposed method…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Yujie Wang , Xiangru Xu

Control Barrier Functions (CBFs) can provide provable safety guarantees for dynamic systems. However, finding a valid CBF for a system of interest is often non-trivial, especially for systems having low computational resources, higher-order…

Robotics · Computer Science 2026-03-06 Mattias Trende , Petter Ögren

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

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,…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Pio Ong , David E. J. van Wijk , Massimiliano de Sa , Joel W. Burdick , Aaron D. Ames

This paper presents a framework for designing provably safe feedback controllers for sampled-data control affine systems with measurement and actuation uncertainties. Based on the interval Taylor model of nonlinear functions, a sampled-data…

Optimization and Control · Mathematics 2022-10-13 Yuhao Zhang , Sequoyah Walters , Xiangru Xu

We address the problem of controlling Connected and Automated Vehicles (CAVs) in conflict areas of a traffic network subject to hard safety constraints. It has been shown that such problems can be solved through a combination of tractable…

Systems and Control · Electrical Eng. & Systems 2022-09-28 Ehsan Sabouni , Christos G. Cassandras , Wei Xiao , Nader Meskin

This paper introduces differentiable higher-order control barrier functions (CBF) that are end-to-end trainable together with learning systems. CBFs are usually overly conservative, while guaranteeing safety. Here, we address their…

Machine Learning · Computer Science 2021-11-23 Wei Xiao , Ramin Hasani , Xiao Li , Daniela Rus

Control barrier functions (CBFs) provide a simple yet effective way for safe control synthesis. Recently, work has been done using differentiable optimization (diffOpt) based methods to systematically construct CBFs for static obstacle…

Robotics · Computer Science 2024-01-25 Bolun Dai , Rooholla Khorrambakht , Prashanth Krishnamurthy , Farshad Khorrami

Control barrier functions (CBFs) recently introduced a systematic way to guarantee the system's safety through set invariance. Together with a nominal control method, it establishes a safety-critical control mechanism. The resulting safety…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Mohammad Aali , Jun Liu

Control barrier functions (CBFs) play a critical role in the design of safe optimization-based controllers for control-affine systems. Given a CBF associated with a desired ``safe'' set, the typical approach consists in embedding CBF-based…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Yiting Chen , Pol Mestres , Jorge Cortes , Emiliano Dall'Anese

This paper works towards unifying two popular approaches in the safety control community: Hamilton-Jacobi (HJ) reachability and Control Barrier Functions (CBFs). HJ Reachability has methods for direct construction of value functions that…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Jason J. Choi , Donggun Lee , Koushil Sreenath , Claire J. Tomlin , Sylvia L. Herbert

Control Lyapunov functions (CLFs) and Control Barrier Functions (CBFs) have been used to develop provably safe controllers by means of quadratic programs (QPs). This framework guarantees safety in the form of trajectory invariance with…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Matheus F. Reis , A. Pedro Aguiar

We consider the merging control problem for Connected and Automated Vehicles (CAVs) aiming to jointly minimize travel time and energy consumption while providing speed-dependent safety guarantees and satisfying velocity and acceleration…

Systems and Control · Electrical Eng. & Systems 2022-03-10 Kaiyuan Xu , Wei Xiao , Christos G. Cassandras