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This tutorial paper focuses on safe physics-informed machine learning in the context of dynamics and control, providing a comprehensive overview of how to integrate physical models and safety guarantees. As machine learning techniques…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Jan Drgona , Truong X. Nghiem , Thomas Beckers , Mahyar Fazlyab , Enrique Mallada , Colin Jones , Draguna Vrabie , Steven L. Brunton , Rolf Findeisen

The safety of autonomous driving systems, particularly self-driving vehicles, remains of paramount concern. These systems exhibit affine nonlinear dynamics and face the challenge of executing predefined control tasks while adhering to state…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Fan Yang , Haoqi Li , Maolong Lv , Jiangping Hu , Qingrui Zhou , Bijoy K. Ghosh

When deployed in the real world, safe control methods must be robust to unstructured uncertainties such as modeling error and external disturbances. Typical robust safety methods achieve their guarantees by always assuming that the…

Systems and Control · Electrical Eng. & Systems 2024-11-05 Ryan K. Cosner , Preston Culbertson , Aaron D. Ames

We introduce a hybrid (discrete--continuous) safety controller which enforces strict state and input constraints on a system---but only acts when necessary, preserving transparent operation of the original system within some safe region of…

Optimization and Control · Mathematics 2019-11-22 Gray C. Thomas , Binghan He , Luis Sentis

We draw on our experience working on system and software assurance and evaluation for systems important to society to summarise how safety engineering is performed in traditional critical systems, such as aircraft flight control. We analyse…

Computers and Society · Computer Science 2025-02-07 Robin Bloomfield , John Rushby

Control barrier functions (CBFs) have been widely used for synthesizing controllers in safety-critical applications. When used as a safety filter, it provides a simple and computationally efficient way to obtain safe controls from a…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Bolun Dai , Heming Huang , Prashanth Krishnamurthy , Farshad Khorrami

Ensuring safety in the sense of constraint satisfaction for learning-based control is a critical challenge, especially in the model-free case. While safety filters address this challenge in the model-based setting by modifying unsafe…

Systems and Control · Electrical Eng. & Systems 2026-01-15 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

This paper proposes a safety-critical controller for dynamic and uncertain environments, leveraging a robust environment control barrier function (ECBF) to enhance the robustness against the measurement and prediction uncertainties…

Systems and Control · Electrical Eng. & Systems 2024-03-21 Ying Shuai Quan , Jian Zhou , Erik Frisk , Chung Choo Chung

Bringing dynamic robots into the wild requires a tenuous balance between performance and safety. Yet controllers designed to provide robust safety guarantees often result in conservative behavior, and tuning these controllers to find the…

The focus of this thesis is developing a framework for designing correct-by-construction controllers using control certificates. We use nonlinear dynamical systems to model the physical environment (plants). The goal is to synthesize…

Systems and Control · Computer Science 2018-05-07 Hadi Ravanbakhsh

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 introduces a method of identifying a maximal set of safe strategies from data for stochastic systems with unknown dynamics using barrier certificates. The first step is learning the dynamics of the system via Gaussian process…

Machine Learning · Computer Science 2024-05-07 Rayan Mazouz , John Skovbekk , Frederik Baymler Mathiesen , Eric Frew , Luca Laurenti , Morteza Lahijanian

Learning reliably safe autonomous control is one of the core problems in trustworthy autonomy. However, training a controller that can be formally verified to be safe remains a major challenge. We introduce a novel approach for learning…

Machine Learning · Computer Science 2024-11-19 Junlin Wu , Huan Zhang , Yevgeniy Vorobeychik

Safety in dynamical systems is commonly pursued using control barrier functions (CBFs) which enforce safety-constraints over the entire duration of a system's evolution. We propose a prescribed-time safety (PTSf) design which enforces…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Imoleayo Abel , Drew Steeves , Miroslav Krstic , Mrdjan Jankovic

Guaranteeing safety in the presence of unmatched disturbances -- uncertainties that cannot be directly canceled by the control input -- remains a key challenge in nonlinear control. This paper presents a constructive approach to…

Systems and Control · Electrical Eng. & Systems 2026-02-04 Max H. Cohen , Pio Ong , Aaron D. Ames

Safety stands as the primary obstacle preventing the widespread adoption of learning-based robotic systems in our daily lives. While reinforcement learning (RL) shows promise as an effective robot learning paradigm, conventional RL…

Robotics · Computer Science 2025-05-27 Maeva Guerrier , Karthik Soma , Hassan Fouad , Giovanni Beltrame

This paper studies the stabilization and safety problems of nonlinear time-delay systems. Following both Razumikhin and Krasovskii approaches, we propose novel control Lyapunov functions/functionals for the stabilization problem and novel…

Systems and Control · Electrical Eng. & Systems 2022-06-29 Wei Ren , Raphael M. Jungers , Dimos V. Dimarogonas

The significance of the automatic ground collision avoidance system (Auto-GCAS) has been proven by considering the fatal crashes that have occurred over decades. Even though extensive efforts have been put forth to address the ground…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Ege C. Altunkaya , Ibrahim Ozkol

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

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