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We present a real-time safety filter for motion planning, including those that are learning-based, using Control Barrier Functions (CBFs) to provide formal guarantees for collision avoidance with road boundaries. A key feature of our…

机器人学 · 计算机科学 2026-03-25 Jianye Xu , Chang Che , Bassam Alrifaee

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

Control barrier functions (CBFs) are a powerful tool for synthesizing safe control actions; however, constructing CBFs remains difficult for general nonlinear systems. In this work, we provide a constructive framework for synthesizing CBFs…

系统与控制 · 电气工程与系统科学 2025-09-04 Gilbert Bahati , Ryan K. Cosner , Max H. Cohen , Ryan M. Bena , Aaron D. Ames

We present an optimisation-based approach to ensure robust asymptotic stability stability of a desired set in the state space of nonlinear dynamical systems, while optimising a general control objective. The approach relies on the decrease…

系统与控制 · 电气工程与系统科学 2025-03-26 Alexandre Didier , Melanie N. Zeilinger

In this paper, we investigate safety-critical control problem of discrete-time stochastic systems with incomplete information, where safety constraints must be enforced using state estimates obtained from noisy measurements. We develop an…

系统与控制 · 电气工程与系统科学 2026-04-15 Jianing Zhao , Zhuoting Cai , Xiang Yin

This paper proposes a new stability analysis for the Reaction Torque Observer (RTOb) based robust force control systems in the discrete-time domain. The robust force controller is implemented by employing a Disturbance Observer (DOb) to…

系统与控制 · 电气工程与系统科学 2023-02-07 Emre Sariyildiz

This paper investigates the control barrier function (CBF) based safety-critical control for continuous nonlinear control affine systems using the more efficient online algorithms through time-varying optimization. The idea lies in that…

系统与控制 · 电气工程与系统科学 2023-03-21 Shengbo Wang , Shiping Wen , Yin Yang , Yuting Cao , Kaibo Shi , Tingwen Huang

Autonomous vehicle path following performance is one of significant consideration. This paper presents discrete time design of robust PD controlled system with disturbance observer (DOB) and communication disturbance observer (CDOB)…

机器人学 · 计算机科学 2023-06-06 Haoan Wang , Levent Guvenc

This paper addresses the problem of safety-critical control for systems with unknown dynamics. It has been shown that stabilizing affine control systems to desired (sets of) states while optimizing quadratic costs subject to state and…

系统与控制 · 电气工程与系统科学 2021-03-31 Wei Xiao , Calin Belta , Christos G. Cassandras

This letter addresses the constraint compatibility problem of control barrier functions (CBFs), which occurs when a safety-critical CBF requires a system to apply more control effort than it is capable of generating. This inevitably leads…

最优化与控制 · 数学 2024-02-28 Logan E. Beaver

This paper studies the problem of finite-time convergence to a prescribed safe set for nonlinear systems whose initial states violate the safety constraints. Existing Control Lyapunov-Barrier Functions (CLBFs) can enforce recovery to the…

系统与控制 · 电气工程与系统科学 2026-03-27 Anni Li , Yingqing Chen , Christos G. Cassandras , Wei Xiao

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

This paper investigates the problem of composing multiple control barrier functions (CBFs) -- and matrix control barrier functions (MCBFs) -- through logical and combinatorial operations. Standard CBF formulations naturally enable…

系统与控制 · 电气工程与系统科学 2025-12-22 Pio Ong , Haejoon Lee , Tamas G. Molnar , Dimitra Panagou , Aaron D. Ames

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…

机器人学 · 计算机科学 2026-03-06 Mattias Trende , Petter Ögren

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

This paper investigates the boundedness of the Disturbance Observer (DO) for linear discrete-time systems. In contrast to previous studies that focus on analyzing and/or designing observer gains, our analysis and synthesis approach is based…

系统与控制 · 电气工程与系统科学 2023-09-07 Yudong Li , Yirui Cong , Jiuxiang Dong

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

In this draft article, we consider the problem of achieving safe control of a dynamic system for which the safety index or (control barrier function (loosely)) has relative degree equal to two. We consider parameter affine nonlinear dynamic…

最优化与控制 · 数学 2022-08-26 Jaskaran Singh Grover , Changliu Liu , Katia Sycara

Safety filters based on Control Barrier Functions (CBFs) provide formal guarantees of forward invariance, but are often difficult to implement in networked dynamical systems. This is due to global coupling and communication requirements.…

系统与控制 · 电气工程与系统科学 2026-05-07 Emiliano Dall'Anese

Endowing nonlinear systems with safe behavior is increasingly important in modern control. This task is particularly challenging for real-life control systems that must operate safely in dynamically changing environments. This paper…

系统与控制 · 电气工程与系统科学 2022-12-06 Tamas G. Molnar , Adam K. Kiss , Aaron D. Ames , Gábor Orosz