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This paper studies the design of controllers for discontinuous dynamics that ensure the safety of non-smooth sets. The safe set is represented by arbitrarily nested unions and intersections of 0-superlevel sets of differentiable functions.…

系统与控制 · 电气工程与系统科学 2024-12-23 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

This paper introduces a safety filter to ensure collision avoidance for multirotor aerial robots. The proposed formalism leverages a single Composite Control Barrier Function from all position constraints acting on a third-order nonlinear…

机器人学 · 计算机科学 2025-02-07 Marvin Harms , Martin Jacquet , Kostas Alexis

Control Barrier Functions (CBFs) have emerged as an effective and non-invasive safety filter for ensuring the safety of autonomous systems in dynamic environments with formal guarantees. However, most existing works on CBF synthesis focus…

机器人学 · 计算机科学 2025-05-20 Yuepeng Zhang , Yu Chen , Yuda Li , Shaoyuan Li , Xiang Yin

Safety is one of the fundamental problems in robotics. Recently, one-step or multi-step optimal control problems for discrete-time nonlinear dynamical system were formulated to offer tracking stability using control Lyapunov functions…

系统与控制 · 电气工程与系统科学 2021-10-04 Jun Zeng , Zhongyu Li , Koushil Sreenath

This letter presents a new notion of input-to-state safe control barrier functions (ISSf-CBFs), which ensure safety of nonlinear dynamical systems under input disturbances. Similar to how safety conditions are specified in terms of forward…

最优化与控制 · 数学 2018-08-14 Shishir Kolathaya , Aaron D. Ames

Control barrier functions are widely used to synthesize safety-critical controls. The existence of Gaussian-type noise may lead to unsafe actions and result in severe consequences. While studies are widely done in safety-critical control…

系统与控制 · 电气工程与系统科学 2022-05-25 Chuanzheng Wang , Yiming Meng , Stephen L. Smith , Jun Liu

Ensuring the safety of complex dynamical systems often relies on Hamilton-Jacobi (HJ) Reachability Analysis or Control Barrier Functions (CBFs). Both methods require computing a function that characterizes a safe set that can be made…

系统与控制 · 电气工程与系统科学 2025-10-03 Jixian Liu , Enrique Mallada

Robot navigation in dynamic, crowded environments poses a significant challenge due to the inherent uncertainties in the obstacle model. In this work, we propose a risk-adaptive approach based on the Conditional Value-at-Risk Barrier…

机器人学 · 计算机科学 2025-08-04 Xinyi Wang , Taekyung Kim , Bardh Hoxha , Georgios Fainekos , Dimitra Panagou

This paper presents a novel approach for synthesizing control barrier functions (CBFs) from high relative degree safety constraints: Rectified CBFs (ReCBFs). We begin by discussing the limitations of existing High-Order CBF approaches and…

系统与控制 · 电气工程与系统科学 2025-01-06 Pio Ong , Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

This paper proposes a control design approach for stabilizing nonlinear control systems. Our key observation is that the set of points where the decrease condition of a control Lyapunov function (CLF) is feasible can be regarded as a safe…

最优化与控制 · 数学 2024-08-19 Pol Mestres , Kehan Long , Melvin Leok , Nikolay Atanasov , Jorge Cortes

Safety filters constructed from control barrier functions (CBFs) are commonly appended to pre-trained neural network controllers to enforce safety requirements. However, this decoupled design with hand-tuned, fixed CBF parameters often…

系统与控制 · 电气工程与系统科学 2026-05-27 Yang Zhao , Jungeun Lee , Jeong hwan Jeon , Sze Zheng Yong

This paper presents a methodology for ensuring that the composition of multiple Control Barrier Functions (CBFs) always leads to feasible conditions on the control input, even in the presence of input constraints. In the case of a system…

最优化与控制 · 数学 2023-03-24 Joseph Breeden , Dimitra Panagou

This paper studies safety guarantees for systems with time-varying control bounds. It has been shown that optimizing quadratic costs subject to state and control constraints can be reduced to a sequence of Quadratic Programs (QPs) using…

最优化与控制 · 数学 2024-04-22 Shuo Liu , Wei Xiao , Calin A. Belta

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…

机器人学 · 计算机科学 2024-12-02 Shuo Yang , Yu Chen , Xiang Yin , George J. Pappas , Rahul Mangharam

Optimal control for safety-critical systems is often dependent on the conservativeness of constraints. Control Barrier Functions (CBFs) serve as a medium to represent such constraints, but constructing a minimally conservative CBF is a…

系统与控制 · 电气工程与系统科学 2026-05-08 Tanmay Dokania , Yashwanth Kumar Nakka

This contribution introduces a centralized input constrained optimal control framework based on multiple control barrier functions (CBFs) to coordinate connected and automated agents at intersections. For collision avoidance, we propose a…

最优化与控制 · 数学 2022-07-12 Alexander Katriniok

Autonomous navigation through unstructured and dynamically-changing environments is a complex task that continues to present many challenges for modern roboticists. In particular, legged robots typically possess manipulable asymmetric…

机器人学 · 计算机科学 2025-08-18 Ryan M. Bena , Gilbert Bahati , Blake Werner , Ryan K. Cosner , Lizhi Yang , 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

Designing safety-critical controllers for acceleration-controlled unicycle robots is challenging, as control inputs may not appear in the constraints of control Lyapunov functions(CLFs) and control barrier functions (CBFs), leading to…

机器人学 · 计算机科学 2025-03-11 Jihao Huang , Jun Zeng , Xuemin Chi , Koushil Sreenath , Zhitao Liu , Hongye Su

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
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