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In model-based reinforcement learning for safety-critical control systems, it is important to formally certify system properties (e.g., safety, stability) under the learned controller. However, as existing methods typically apply formal…

Machine Learning · Computer Science 2023-03-22 Yixuan Wang , Simon Zhan , Zhilu Wang , Chao Huang , Zhaoran Wang , Zhuoran Yang , Qi Zhu

Modern nonlinear control theory seeks to develop feedback controllers that endow systems with properties such as safety and stability. The guarantees ensured by these controllers often rely on accurate estimates of the system state for…

Systems and Control · Electrical Eng. & Systems 2020-11-02 Sarah Dean , Andrew J. Taylor , Ryan K. Cosner , Benjamin Recht , Aaron D. Ames

This paper presents a novel approach for the safe control design of systems with parametric uncertainties in both drift terms and control-input matrices. The method combines control barrier functions and adaptive laws to generate a safe…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yujie Wang , Xiangru Xu

Autonomous robot navigation can be particularly demanding, especially when the surrounding environment is not known and safety of the robot is crucial. This work relates to the synthesis of Control Barrier Functions (CBFs) through data for…

Robotics · Computer Science 2024-07-30 Marvin Harms , Mihir Kulkarni , Nikhil Khedekar , Martin Jacquet , Kostas Alexis

This paper generalizes the control barrier function framework by replacing scalar-valued functions with matrix-valued ones. Specifically, we develop barrier conditions for safe sets defined by matrix inequalities -- both semidefinite and…

Systems and Control · Electrical Eng. & Systems 2025-09-01 Pio Ong , Yicheng Xu , Ryan M. Bena , Faryar Jabbari , Aaron D. Ames

Providing formal guarantees for neural network-based controllers in large-scale interconnected systems remains a fundamental challenge. In particular, using neural certificates to capture cooperative interactions and verifying these…

Systems and Control · Electrical Eng. & Systems 2026-01-29 Jingyuan Zhou , Haoze Wu , Kaidi Yang

This report presents a neurosymbolic framework for safety verification and control synthesis in high-dimensional monotone dynamical systems without relying on explicit models or conservative Lipschitz bounds. The approach combines the…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Saber Jafarpour , Alireza Nadali , Ashutosh Trivedi , Majid Zamani

Modern nonlinear control theory seeks to endow systems with properties of stability and safety, and have been deployed successfully in multiple domains. Despite this success, model uncertainty remains a significant challenge in synthesizing…

Systems and Control · Electrical Eng. & Systems 2019-12-24 Andrew Taylor , Andrew Singletary , Yisong Yue , Aaron Ames

Safety filters based on Control Barrier Functions (CBFs) have emerged as a practical tool for the safety-critical control of autonomous systems. These approaches encode safety through a value function and enforce safety by imposing a…

Robotics · Computer Science 2022-08-23 Sander Tonkens , Sylvia Herbert

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

Control tasks with safety requirements under high levels of model uncertainty are increasingly common. Machine learning techniques are frequently used to address such tasks, typically by leveraging model error bounds to specify robust…

Robotics · Computer Science 2025-06-13 Alexandre Capone , Ryan Cosner , Aaaron Ames , Sandra Hirche

Ensuring safety for autonomous robots operating in dynamic environments can be challenging due to factors such as unmodeled dynamics, noisy sensor measurements, and partial observability. To account for these limitations, it is common to…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Shaohang Han , Matti Vahs , Jana Tumova

Many systems contain latent variables that make their dynamics partially unidentifiable or cause distribution shifts in the observed statistics between offline and online data. However, existing control techniques often assume access to…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Haoming Jing , Yorie Nakahira

We present a simulation-based approach for generating barrier certificate functions for safety verification of cyber-physical systems (CPS) that contain neural network-based controllers. A linear programming solver is utilized to find a…

Systems and Control · Computer Science 2018-04-12 Cumhur Erkan Tuncali , James Kapinski , Hisahiro Ito , Jyotirmoy V. Deshmukh

Discrete-time Control Barrier Functions (DTCBFs) have recently attracted interest for guaranteeing safety and synthesizing safe controllers for discrete-time dynamical systems. This paper addresses the open challenges of verifying candidate…

Optimization and Control · Mathematics 2025-09-24 Erfan Shakhesi , W. P. M. H. Heemels , Alexander Katriniok

We present a tool-supported approach for the synthesis, verification and validation of the control software responsible for the safety of the human-robot interaction in manufacturing processes that use collaborative robots. In human-robot…

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…

Robotics · Computer Science 2022-11-14 Xuda Ding , Han Wang , Yi Ren , Yu Zheng , Cailian Chen , Jianping He

Recently, safe reinforcement learning (RL) with the actor-critic structure for continuous control tasks has received increasing attention. It is still challenging to learn a near-optimal control policy with safety and convergence…

Machine Learning · Computer Science 2024-02-06 Xinglong Zhang , Yaoqian Peng , Biao Luo , Wei Pan , Xin Xu , Haibin Xie

Large-scale self-supervised models have recently revolutionized our ability to perform a variety of tasks within the vision and language domains. However, using such models for autonomous systems is challenging because of safety…

Robotics · Computer Science 2023-03-09 Yue Meng , Sai Vemprala , Rogerio Bonatti , Chuchu Fan , Ashish Kapoor

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…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Jixian Liu , Enrique Mallada
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