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Inspired by the success of imitation and inverse reinforcement learning in replicating expert behavior through optimal control, we propose a learning based approach to safe controller synthesis based on control barrier functions (CBFs). We…

系统与控制 · 电气工程与系统科学 2020-11-10 Alexander Robey , Haimin Hu , Lars Lindemann , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni

It has been known in the robotics literature since about 1995 that, in polar coordinates, the nonholonomic unicycle is asymptotically stabilizable by smooth feedback, even globally. We introduce a modular design framework that selects the…

系统与控制 · 电气工程与系统科学 2026-01-09 Velimir Todorovski , Kwang Hak Kim , Alessandro Astolfi , Miroslav Krstic

This paper studies the problem of utilizing data-driven adaptive control techniques to guarantee stability and safety of uncertain nonlinear systems with high relative degree. We first introduce the notion of a High Order Robust Adaptive…

系统与控制 · 电气工程与系统科学 2022-10-11 Max H. Cohen , Calin Belta

Guaranteeing the safety of nonlinear systems with bounded inputs remains a key challenge in safe autonomy. Backup control barrier functions (bCBFs) provide a powerful mechanism for constructing controlled invariant sets by propagating…

系统与控制 · 电气工程与系统科学 2026-03-20 David E. J. van Wijk , Dohyun Lee , Ersin Das , Tamas G. Molnar , Aaron D. Ames , Joel W. Burdick

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

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

Control Barrier Functions (CBFs) are a popular approach for safe control of nonlinear systems. In CBF-based control, the desired safety properties of the system are mapped to nonnegativity of a CBF, and the control input is chosen to ensure…

机器学习 · 计算机科学 2023-10-17 Hongchao Zhang , Junlin Wu , Yevgeniy Vorobeychik , Andrew Clark

Designing safety-critical control for robotic manipulators is challenging, especially in a cluttered environment. First, the actual trajectory of a manipulator might deviate from the planned one due to the complex collision environments and…

机器人学 · 计算机科学 2022-11-14 Xuda Ding , Han Wang , Yi Ren , Yu Zheng , Cailian Chen , Jianping He

Safety and stability are common requirements for robotic control systems; however, designing safe, stable controllers remains difficult for nonlinear and uncertain models. We develop a model-based learning approach to synthesize robust…

系统与控制 · 电气工程与系统科学 2021-10-08 Charles Dawson , Zengyi Qin , Sicun Gao , Chuchu Fan

This paper addresses the challenge of ensuring safety in stochastic control systems with high-relative-degree constraints, while maintaining feasibility and mitigating conservatism in risk evaluation. Control Barrier Functions (CBFs)…

最优化与控制 · 数学 2025-12-08 Shuo Liu , Calin A. Belta

The increasing complexity of control systems necessitates control laws that guarantee safety w.r.t. complex combinations of constraints. In this letter, we propose a framework to describe compositional safety specifications with control…

系统与控制 · 电气工程与系统科学 2023-12-05 Tamas G. Molnar , Aaron D. Ames

This paper studies the problem of safe stabilization of control-affine systems under uncertainty. Our starting point is the availability of worst-case or probabilistic error descriptions for the dynamics and a control barrier function…

最优化与控制 · 数学 2023-12-05 Pol Mestres , Jorge Cortés

This paper introduces the Progressive Barrier Lyapunov Function (p-BLF) for output- and full-state-constrained nonlinear control systems. Unlike traditional BLF methods, where control effort continuously increases as the state approaches…

系统与控制 · 电气工程与系统科学 2025-07-03 Hamed Rahimi Nohooji , Holger Voos

This paper addresses the target-pursuit problem, aiming to ensure each pursuer's safety regarding collision avoidance, sensing range, and input saturation. An input-constrained CBF is proposed to dynamically regulate the pursuer's control,…

系统与控制 · 电气工程与系统科学 2024-12-11 Yaosheng Deng , Junjie Gao , Jiaping Xiao , Mir Feroskhan

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

This paper presents an approach for navigation and control in unmapped environments under input and state constraints using a composite control barrier function (CBF). We consider the scenario where real-time perception feedback (e.g.,…

机器人学 · 计算机科学 2025-04-08 Amirsaeid Safari , Jesse B. Hoagg

This paper studies switching stabilization problems for general switched nonlinear systems. A piecewise smooth control-Lyapunov function (PSCLF) approach is proposed and a constructive way to design a stabilizing switching law is developed.…

最优化与控制 · 数学 2015-03-09 Yueyun Lu , Wei Zhang

This paper considers the general problem of transitioning theoretically safe controllers to hardware. Concretely, we explore the application of control barrier functions (CBFs) to sampled-data systems: systems that evolve continuously but…

系统与控制 · 电气工程与系统科学 2020-05-14 Andrew Singletary , Yuxiao Chen , Aaron D. Ames

Ensuring safe exploration in high-dimensional systems with unknown dynamics remains a significant challenge. Existing safe reinforcement learning methods often provide safety guarantees only in expectation, which can still lead to safety…

机器学习 · 计算机科学 2026-04-28 Rahul Narava , Siddharth Verma , Ojas Jain , Shashi Shekhar Jha , Mayank Shekhar Jha

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
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