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Related papers: Robust Control Barrier and Control Lyapunov Functi…

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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)…

Optimization and Control · Mathematics 2025-12-08 Shuo Liu , Calin A. Belta

This letter introduces attack-resilient Control Lyapunov Functions (AR-CLFs) and attack-resilient Control Barrier Functions (AR-CBFs) for nonlinear control-affine systems subject to control-input false data injection attacks (FDIA)…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Mohamadamin Rajabinezhad , Shan Zuo

This paper introduces harmonic control Lyapunov barrier functions (harmonic CLBF) that aid in constrained control problems such as reach-avoid problems. Harmonic CLBFs exploit the maximum principle that harmonic functions satisfy to encode…

Optimization and Control · Mathematics 2024-03-27 Amartya Mukherjee , Ruikun Zhou , Haocheng Chang , Jun Liu

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…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Charles Dawson , Zengyi Qin , Sicun Gao , Chuchu Fan

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 (CBF) have provided a very versatile framework for the synthesis of safe control architectures for a wide class of nonlinear dynamical systems. Typically, CBF-based synthesis approaches apply to systems that…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Shuo Yang , Mitchell Black , Georgios Fainekos , Bardh Hoxha , Hideki Okamoto , Rahul Mangharam

We present a safety-critical controller for the problem of stabilization for force-controlled nonholonomic mobile robots. The proposed control law is based on the constructions of control Lyapunov functions (CLFs) and control barrier…

Systems and Control · Electrical Eng. & Systems 2024-12-04 Tianyu Han , Bo Wang

A common tool in system theory for formulating control laws that achieve local asymptotic stability are Control Lyapunov functions (CLFs), while Control Barrier functions (CBFs) are typically employed to enforce safety constraints.…

Optimization and Control · Mathematics 2024-03-22 Jarne J. H. van Gemert , Mircea Lazar , Siep Weiland

Reinforcement Learning (RL) has shown promise in control tasks but faces significant challenges in real-world applications, primarily due to the absence of safety guarantees during the learning process. Existing methods often struggle with…

Machine Learning · Computer Science 2025-04-29 Donghe Chen , Han Wang , Lin Cheng , Shengping Gong

In this paper, we define and analyze a subclass of (time-invariant) Control Barrier Functions (CBF) that have favorable properties for the construction of uniformly timevarying CBFs and thereby for the satisfaction of uniformly time-varying…

Systems and Control · Electrical Eng. & Systems 2024-08-26 Adrian Wiltz , Dimos V. Dimarogonas

We introduce a novel method for mobile robot navigation in dynamic, unknown environments, leveraging onboard sensing and distributionally robust optimization to impose probabilistic safety constraints. Our method introduces a…

Robotics · Computer Science 2025-05-07 Kehan Long , Yinzhuang Yi , Zhirui Dai , Sylvia Herbert , Jorge Cortés , Nikolay Atanasov

Robust control barrier functions (CBFs) provide a principled mechanism for smooth safety enforcement under worst-case disturbances. However, existing approaches typically rely on explicit, closed-form structure in the dynamics (e.g.,…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Donggeon David Oh , Duy P. Nguyen , Haimin Hu , Jaime Fernández Fisac

Control Barrier Functions (CBFs) offer a framework for ensuring set invariance and designing constrained control laws. However, crafting a valid CBF relies on system-specific assumptions and the availability of an accurate system model,…

Systems and Control · Electrical Eng. & Systems 2025-05-14 Mohammad Bajelani , Klaske van Heusden

This paper addresses the challenge of safe stabilization, ensuring the system state reach the origin while avoiding unsafe regions. Existing approaches relying on smooth Lyapunov barrier functions often fail to guarantee a feasible…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Jianglin Lan , Eldert van Henten , Peter Groot Koerkamp , Congcong Sun

The problem of safely learning and controlling a dynamical system - i.e., of stabilizing an originally (partially) unknown system while ensuring that it does not leave a prescribed 'safe set' - has recently received tremendous attention in…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Jafar Abbaszadeh Chekan , Cedric Langbort

This paper presents an adaptive control approach for uncertain nonlinear systems subject to safety constraints that allows for modularity in the selection of the parameter estimation algorithm. Such modularity is achieved by unifying the…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Max Cohen , Calin Belta

Control Barrier Function (CBF) is an emerging method that guarantees safety in path planning problems by generating a control command to ensure the forward invariance of a safety set. Most of the developments up to date assume availability…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Chuyuan Tao , Wenbin Wan , Junjie Gao , Bihao Mo , Hunmin Kim , Naira Hovakimyan

This paper proposes a safety controller for control-affine nonlinear systems with unmodelled dynamics and disturbances to improve closed-loop robustness. Uncertainty estimation-based control barrier functions (CBFs) are utilized to ensure…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Ersin Daş , Skylar X. Wei , Joel W. Burdick

Finding a control Lyapunov function (CLF) in a dynamical system with a controller is an effective way to guarantee stability, which is a crucial issue in safety-concerned applications. Recently, deep learning models representing CLFs have…

Machine Learning · Computer Science 2025-11-04 Yupu Lu , Shijie Lin , Hao Xu , Zeqing Zhang , Jia Pan

Controller design for nonlinear systems with Control Lyapunov Function (CLF) based quadratic programs has recently been successfully applied to a diverse set of difficult control tasks. These existing formulations do not address the gap…

Systems and Control · Electrical Eng. & Systems 2021-03-09 Andrew J. Taylor , Victor D. Dorobantu , Yisong Yue , Paulo Tabuada , Aaron D. Ames