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We propose a control barrier function (CBF) formulation for enforcing equality and inequality constraints in variational inference. The key idea is to define a barrier functional on the space of probability density functions that encode the…

最优化与控制 · 数学 2026-05-15 Yinzhuang Yi , Jorge Cortés , Nikolay Atanasov

Ensuring safety in the sense of constraint satisfaction for learning-based control is a critical challenge, especially in the model-free case. While safety filters address this challenge in the model-based setting by modifying unsafe…

系统与控制 · 电气工程与系统科学 2026-01-15 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

In robotics, control barrier function (CBF)-based safety filters are commonly used to enforce state constraints. A critical challenge arises when the relative degree of the CBF varies across the state space. This variability can create…

系统与控制 · 电气工程与系统科学 2025-04-09 Lukas Brunke , Siqi Zhou , Francesco D'Orazio , Angela P. Schoellig

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…

系统与控制 · 电气工程与系统科学 2025-08-12 Jason J. Choi , Claire J. Tomlin , Shankar Sastry , Koushil Sreenath

In this paper, we present a novel probabilistic safe control framework for human-robot interaction that combines control barrier functions (CBFs) with conformal risk control to provide formal safety guarantees while considering complex…

机器人学 · 计算机科学 2026-03-12 Jake Gonzales , Kazuki Mizuta , Karen Leung , Lillian J. Ratliff

Control barrier functions (CBFs) have recently introduced a systematic tool to ensure system safety by establishing set invariance. When combined with a nominal control strategy, they form a safety-critical control mechanism. However, the…

系统与控制 · 电气工程与系统科学 2024-04-22 Mohammad Aali , Jun Liu

Ensuring liveness and safety of autonomous and cyber-physical systems remains a fundamental challenge, particularly when multiple safety constraints are present. This letter advances the theoretical foundations of safety-filter Quadratic…

系统与控制 · 电气工程与系统科学 2025-03-24 Matheus F. Reis , José P. Carvalho , A. Pedro Aguiar

In real-world applications, we often require reliable decision making under dynamics uncertainties using noisy high-dimensional sensory data. Recently, we have seen an increasing number of learning-based control algorithms developed to…

系统与控制 · 电气工程与系统科学 2022-12-20 Lukas Brunke , Siqi Zhou , Angela P. Schoellig

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…

最优化与控制 · 数学 2025-03-18 James Usevitch , Jackson Sahleen

Safety filters based on control barrier functions (CBFs) and high-order control barrier functions (HOCBFs) are often implemented through quadratic programs (QPs). In general, especially in the presence of multiple constraints, feasibility…

系统与控制 · 电气工程与系统科学 2026-04-07 Shima Sadat Mousavi , Max H. Cohen , Pol Mestres , Aaron D. Ames

Control barrier function (CBF)-QP safety filters enforce safety by minimally modifying a nominal controller. While prior work has mainly addressed robustness of safety under uncertainty, robustness of the resulting closed-loop…

系统与控制 · 电气工程与系统科学 2026-04-07 Shima Sadat Mousavi , Pol Mestres , Aaron D. Ames

Obstacle avoidance between polytopes is a challenging topic for optimal control and optimization-based trajectory planning problems. Existing work either solves this problem through mixed-integer optimization, relying on simplification of…

机器人学 · 计算机科学 2022-06-01 Akshay Thirugnanam , Jun Zeng , Koushil Sreenath

In this paper, we study a safe control design for dynamical systems in the presence of uncertainty in a dynamical environment. The worst-case error approach is considered to formulate robust Control Barrier Functions (CBFs) in an…

系统与控制 · 电气工程与系统科学 2024-02-15 Vahid Hamdipoor , Nader Meskin , Christos G. Cassandras

In this paper we seek to quantify the ability of learning to improve safety guarantees endowed by Control Barrier Functions (CBFs). In particular, we investigate how model uncertainty in the time derivative of a CBF can be reduced via…

系统与控制 · 电气工程与系统科学 2020-11-20 Andrew J. Taylor , Andrew Singletary , Yisong Yue , Aaron D. Ames

We propose a novel class of risk-aware control barrier functions (RA-CBFs) for the control of stochastic safety-critical systems. Leveraging a result from the stochastic level-crossing literature, we deviate from the martingale theory that…

系统与控制 · 电气工程与系统科学 2023-08-22 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Danil Prokhorov , Dimitra Panagou

Safety is one of the fundamental challenges in control theory. Recently, multi-step optimal control problems for discrete-time dynamical systems were formulated to enforce stability, while subject to input constraints as well as…

最优化与控制 · 数学 2023-07-14 Shuo Liu , Jun Zeng , Koushil Sreenath , Calin A. Belta

We present a closed-form optimal feedback control method that ensures safety in an a prior unknown and potentially dynamic environment. This article considers the scenario where local perception data (e.g., LiDAR) is obtained periodically,…

机器人学 · 计算机科学 2025-04-23 Amirsaeid Safari , Jesse B. Hoagg

The backup control barrier function (CBF) was recently proposed as a tractable formulation that guarantees the feasibility of the CBF quadratic programming (QP) via an implicitly defined control invariant set. The control invariant set is…

系统与控制 · 电气工程与系统科学 2021-04-26 Yuxiao Chen , Mrdjan Jankovic , Mario Santillo , Aaron D. Ames

We propose distributed iterative algorithms for safe control design and safety verification for networked multi-agent systems. These algorithms rely on distributing a control barrier function (CBF) related quadratic programming (QP) problem…

系统与控制 · 电气工程与系统科学 2025-11-25 Han Wang , Antonis Papachristodoulou , Kostas Margellos

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…

机器人学 · 计算机科学 2024-01-25 Bolun Dai , Rooholla Khorrambakht , Prashanth Krishnamurthy , Farshad Khorrami