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This paper presents conditions for ensuring forward invariance of safe sets under sampled-data system dynamics with piecewise-constant controllers and fixed time-steps. First, we introduce two different metrics to compare the…

Optimization and Control · Mathematics 2021-06-28 Joseph Breeden , Kunal Garg , Dimitra Panagou

Control systems operating in the real world face countless sources of unpredictable uncertainties. These random disturbances can render deterministic guarantees inapplicable and cause catastrophic safety failures. To overcome this, this…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Pol Mestres , Blake Werner , Ryan K. Cosner , Aaron D. Ames

Reinforcement learning (RL) methods have demonstrated their efficiency in simulation environments. However, many applications for which RL offers great potential, such as autonomous driving, are also safety critical and require a certified…

Systems and Control · Electrical Eng. & Systems 2021-01-19 Kim P. Wabersich , Lukas Hewing , Andrea Carron , Melanie N. Zeilinger

This work is concerned with synthesizing safety controllers for discrete-time nonlinear systems beyond polynomials with unknown mathematical models using the notion of k-inductive control barrier certificates (k-CBCs). Conventional CBC…

Systems and Control · Electrical Eng. & Systems 2024-12-11 Ben Wooding , Abolfazl Lavaei

While it has been repeatedly shown that learning-based controllers can provide superior performance, they often lack of safety guarantees. This paper aims at addressing this problem by introducing a model predictive safety certification…

Systems and Control · Computer Science 2019-04-09 Kim P. Wabersich , Melanie N. Zeilinger

Recent advances in deep reinforcement learning have demonstrated the capability of learning complex control policies from many types of environments. When learning policies for safety-critical applications, it is essential to be sensitive…

Machine Learning · Computer Science 2019-11-12 Yichuan Charlie Tang , Jian Zhang , Ruslan Salakhutdinov

Safe autonomy is a critical requirement and a key enabler for robots to operate safely in unstructured complex environments. Control barrier functions and safe motion corridors are two widely used but technically distinct safety methods,…

Robotics · Computer Science 2026-03-09 Ömür Arslan , Nikolay Atanasov

This paper proposes a reinforcement learning-based approach for optimal transient frequency control in power systems with stability and safety guarantees. Building on Lyapunov stability theory and safety-critical control, we derive…

Systems and Control · Electrical Eng. & Systems 2024-02-22 Zhenyi Yuan , Changhong Zhao , Jorge Cortes

The last decade's research in artificial intelligence had a significant impact on the advance of autonomous driving. Yet, safety remains a major concern when it comes to deploying such systems in high-risk environments. The objective of…

Computer Vision and Pattern Recognition · Computer Science 2022-11-16 Charles Corbière

We introduce an automated, formal, counterexample-based approach to synthesise Barrier Certificates (BC) for the safety verification of continuous and hybrid dynamical models. The approach is underpinned by an inductive framework: this is…

Systems and Control · Electrical Eng. & Systems 2020-10-20 Andrea Peruffo , Daniele Ahmed , Alessandro Abate

Modern robotics is gravitating toward increasingly collaborative human robot interaction. Tools such as acceleration policies can naturally support the realization of reactive, adaptive, and compliant robots. These tools require us to model…

Robotics · Computer Science 2017-10-09 Daniel Kappler , Franziska Meier , Nathan Ratliff , Stefan Schaal

This paper studies the design of controllers for discontinuous dynamics that ensure the safety of non-smooth sets. The safe set is represented by arbitrarily nested unions and intersections of 0-superlevel sets of differentiable functions.…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

A supervised learning framework is proposed to approximate a model predictive controller (MPC) with reduced computational complexity and guarantees on stability and constraint satisfaction. The framework can be used for a wide class of…

Systems and Control · Computer Science 2018-06-13 Michael Hertneck , Johannes Köhler , Sebastian Trimpe , Frank Allgöwer

Reinforcement Learning (RL) has been shown to be effective in many scenarios. However, it typically requires the exploration of a sufficiently large number of state-action pairs, some of which may be unsafe. Consequently, its application to…

Systems and Control · Electrical Eng. & Systems 2022-06-24 Yousef Emam , Gennaro Notomista , Paul Glotfelter , Zsolt Kira , Magnus Egerstedt

At Levels 2 and 3 of autonomous driving defined by the Society of Auto-motive Engineers, drivers must take on certain driving responsibilities, and automated driving must sometimes yield to human control. This situation can occur in real…

Systems and Control · Electrical Eng. & Systems 2024-10-10 Md Sakib Galib Sourav , Liang Cheng

Bayesian neural networks (BNNs) place distributions over the weights of a neural network to model uncertainty in the data and the network's prediction. We consider the problem of verifying safety when running a Bayesian neural network…

Machine Learning · Computer Science 2021-11-08 Mathias Lechner , Đorđe Žikelić , Krishnendu Chatterjee , Thomas A. Henzinger

The barrier function method for safety control typically assumes the availability of full state information. Unfortunately, in many scenarios involving uncertain dynamical systems, full state information is often unavailable. In this paper,…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Binghan He , Takashi Tanaka

Transfer learning from pre-trained encoders has become essential in modern machine learning, enabling efficient model adaptation across diverse tasks. However, this combination of pre-training and downstream adaptation creates an expanded…

Machine Learning · Computer Science 2025-04-17 Yechao Zhang , Yuxuan Zhou , Tianyu Li , Minghui Li , Shengshan Hu , Wei Luo , Leo Yu Zhang

Safety is a critical property for control systems in medicine, transportation, manufacturing, and other applications, and can be defined as ensuring positive invariance of a predefined safe set. This paper investigates the problems of…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Andrew Clark

Time delays in feedback control loops can cause controllers to respond too late, and with excessively large corrective actions, leading to unsafe behavior (violation of state constraints) and controller infeasibility (violation of input…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Adam K. Kiss , Ersin Das , Tamas G. Molnar , Aaron D. Ames
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