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Control barrier function (CBF) has recently started to serve as a basis to develop approaches for enforcing safety requirements in control systems. However, constructing such function for a general system is a non-trivial task. This paper…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Zihao Liang , Jason King Ching Lo

In this paper, a triggered Batch Least-Squares Identifier (BaLSI) based adaptive safety control scheme is proposed for uncertain systems with potentially conflicting control objectives and safety constraints. A relaxation term is added to…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Jiajun Shen , Wei Wang , Jing Zhou , Jinhu Lü

Gaussian process (GP) regression has been widely used in supervised machine learning due to its flexibility and inherent ability to describe uncertainty in function estimation. In the context of control, it is seeing increasing use for…

Systems and Control · Computer Science 2020-01-01 Lukas Hewing , Juraj Kabzan , Melanie N. Zeilinger

Gaussian Process (GP) regression is shown to be effective for learning unknown dynamics, enabling efficient and safety-aware control strategies across diverse applications. However, existing GP-based model predictive control (GP-MPC)…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Manish Prajapat , Johannes Köhler , Amon Lahr , Andreas Krause , Melanie N. Zeilinger

Model information can be used to predict future trajectories, so it has huge potential to avoid dangerous region when implementing reinforcement learning (RL) on real-world tasks, like autonomous driving. However, existing studies mostly…

Robotics · Computer Science 2021-03-08 Haitong Ma , Jianyu Chen , Shengbo Eben Li , Ziyu Lin , Yang Guan , Yangang Ren , Sifa Zheng

Learning-based control with safety guarantees usually requires real-time safety certification and modifications of possibly unsafe learning-based policies. The control barrier function (CBF) method uses a safety filter containing a…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

Safety-critical control is a crucial aspect of modern systems, and Control Barrier Functions (CBFs) have gained popularity as the framework of choice for ensuring safety. However, implementing a CBF requires exact knowledge of the true…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Rahal Nanayakkara , Aaron D. Ames , Paulo Tabuada

In Gaussian Process (GP) dynamical model learning for robot control, particularly for systems constrained by computational resources like small quadrotors equipped with low-end processors, analyzing stability and designing a stable…

Systems and Control · Electrical Eng. & Systems 2024-06-05 Wenhan Cao , Alexandre Capone , Rishabh Yadav , Sandra Hirche , Wei Pan

Control barrier function (CBF)-based methods provide the minimum modification necessary to formally guarantee safety in the context of quadratic programming, and strict safety guarantee for safety critical systems. However, most CBF-related…

Systems and Control · Electrical Eng. & Systems 2025-12-27 Xiaoxiao Li , Zhirui Sun , Hongpeng Wang , Shuai Li , Jiankun Wang

This tutorial paper presents recent work of the authors that extends the theory of Control Barrier Functions (CBFs) to address practical challenges in the synthesis of safe controllers for autonomous systems and robots. We present novel…

Optimization and Control · Mathematics 2023-12-29 Kunal Garg , James Usevitch , Joseph Breeden , Mitchell Black , Devansh Agrawal , Hardik Parwana , Dimitra Panagou

Safety is a fundamental requirement of control systems. Control Barrier Functions (CBFs) are proposed to ensure the safety of the control system by constructing safety filters or synthesizing control inputs. However, the safety guarantee…

Robotics · Computer Science 2024-03-29 Manan Tayal , Hongchao Zhang , Pushpak Jagtap , Andrew Clark , Shishir Kolathaya

In this paper, we propose a novel Control Barrier Function (CBF) based controller for nonlinear systems with complex, time-varying input constraints. To deal with these constraints, we introduce an auxiliary control input to transform the…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Yaosheng Deng , Yang Bai , Yujie Wang , Masaki Ogura , Mir Feroskhan

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…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Danil Prokhorov , Dimitra Panagou

The optimal performance of robotic systems is usually achieved near the limit of state and input bounds. Model predictive control (MPC) is a prevalent strategy to handle these operational constraints, however, safety still remains an open…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Jun Zeng , Bike Zhang , Koushil Sreenath

Control Barrier Functions (CBFs) is an important tool used to address situations with multiple concurrent control objectives, such as safety and goal convergence. In this paper we investigate the similarities between CBFs and so-called…

Robotics · Computer Science 2021-09-06 Petter Ögren

This tutorial provides a critical review of the practical application of Control Barrier Functions (CBFs) in robotic safety. While the theoretical foundations of CBFs are well-established, I identify a recurring gap between the mathematical…

Robotics · Computer Science 2026-03-10 Taekyung Kim

Many robotic tasks, such as human-robot interactions or the handling of fragile objects, require tight control and limitation of appearing forces and moments alongside sensible motion control to achieve safe yet high-performance operation.…

Robotics · Computer Science 2023-03-09 Janine Matschek , Johanna Bethge , Rolf Findeisen

The existing control barrier function literature generally relies on precise mathematical models to guarantee system safety, limiting their applicability in scenarios with parametric uncertainties. While incremental control techniques have…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Johannes Autenrieb , Hyo-Sang Shin

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.…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Emiliano Dall'Anese

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