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In this work, we propose a compositional scheme based on small-gain reasoning to synthesize safety controllers for interconnected stochastic hybrid systems. In our proposed setting, we first offer an augmented scheme that characterizes each…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Mahdieh Zaker , Omid Akbarzadeh , Behrad Samari , Abolfazl Lavaei

We study the problem of co-designing control barrier functions and linear state feedback controllers for discrete-time linear systems affected by additive disturbances. For disturbances of bounded magnitude, we provide a semi-definite…

Optimization and Control · Mathematics 2025-05-14 Marta Fochesato , Han Wang , Antonis Papachristodoulou , Paul Goulart

We consider affine systems defined on polytopes and study the cases where the systems are not in-block controllable with respect to the given polytopes. That are the cases in which we cannot fully control the affine systems within the…

Systems and Control · Computer Science 2016-11-01 Mohamed K. Helwa , Peter E. Caines

Reinforcement Learning (RL) algorithms have found limited success beyond simulated applications, and one main reason is the absence of safety guarantees during the learning process. Real world systems would realistically fail or break…

Machine Learning · Computer Science 2019-03-22 Richard Cheng , Gabor Orosz , Richard M. Murray , Joel W. Burdick

We investigate the problem of establishing finite-time probabilistic safety guarantees for discrete-time stochastic dynamical systems subject to unknown disturbance distributions, using barrier certificate methods. Our approach develops a…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Taoran Wu , Dominik Wagner , C. -H. Luke Ong , Bai Xue

This work provides formal safety guarantees for control systems with disturbance. A disturbance observer-based robust safety-critical controller is proposed, that estimates the effect of the disturbance on safety and utilizes this estimate…

Systems and Control · Electrical Eng. & Systems 2023-01-05 Anil Alan , Tamas G. Molnar , Ersin Das , Aaron D. Ames , Gabor Orosz

Synthesising safe controllers from visual data typically requires extensive supervised labelling of safety-critical data, which is often impractical in real-world settings. Recent advances in world models enable reliable prediction in…

Robotics · Computer Science 2025-07-21 Mehul Anand , Shishir Kolathaya

In safety-critical control, managing safety constraints with high relative degrees and uncertain obstacle dynamics pose significant challenges in guaranteeing safety performance. Robust Control Barrier Functions (RCBFs) offer a potential…

Optimization and Control · Mathematics 2024-12-06 Kwang Hak Kim , Mamadou Diagne , Miroslav Krstić

We introduce a compositional data-driven methodology with noisy data for designing fully-decentralized safety controllers applicable to large-scale interconnected networks, encompassing a vast number of subsystems with unknown mathematical…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Omid Akbarzadeh , Amy Nejati , Abolfazl Lavaei

This work studies the design of safe control policies for large-scale non-linear systems operating in uncertain environments. In such a case, the robust control framework is a principled approach to safety that aims to maximize the…

Systems and Control · Computer Science 2019-03-04 Edouard Leurent , Yann Blanco , Denis Efimov , Odalric-Ambrym Maillard

This work presents a sum-of-squares (SOS) based framework to perform data-driven stabilization and robust control tasks on discrete-time linear systems where the full-state observations are corrupted by L-infinity bounded input,…

Optimization and Control · Mathematics 2023-03-31 Jared Miller , Tianyu Dai , Mario Sznaier

As autonomous systems become more complex and integral in our society, the need to accurately model and safely control these systems has increased significantly. In the past decade, there has been tremendous success in using deep learning…

Robotics · Computer Science 2024-09-10 Hao Wang , Javier Borquez , Somil Bansal

Safety is a primary concern when applying reinforcement learning to real-world control tasks, especially in the presence of external disturbances. However, existing safe reinforcement learning algorithms rarely account for external…

Machine Learning · Computer Science 2023-10-12 Zeyang Li , Chuxiong Hu , Shengbo Eben Li , Jia Cheng , Yunan Wang

The increasing use of machine learning in safety-critical domains amplifies the risk of adversarial threats, especially data poisoning attacks that corrupt training data to degrade performance or induce unsafe behavior. Most existing…

Machine Learning · Computer Science 2026-05-13 Sara Taheri , Mahalakshmi Sabanayagam , Debarghya Ghoshdastidar , Majid Zamani

In this paper, we study a safe control design for dynamical systems in the presence of uncertainty in a dynamical environment. The worst-case error approach is considered to formulate robust Control Barrier Functions (CBFs) in an…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Vahid Hamdipoor , Nader Meskin , Christos G. Cassandras

We consider robust control synthesis for linear systems with complex specifications that are affected by uncertain disturbances. This work is motivated by autonomous systems interacting with partially known, time-varying environments. Given…

Optimization and Control · Mathematics 2018-08-27 Damian Frick , Tony A. Wood , Gian Ulli , Maryam Kamgarpour

This paper presents a direct data-driven approach for computing robust control invariant (RCI) sets and their associated state-feedback control laws for linear time-invariant systems affected by bounded disturbances. The proposed method…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Manas Mejari , Ankit Gupta

In this paper, we provide a direct data-driven approach to synthesize safety controllers for unknown linear systems affected by unknown-but-bounded disturbances, in which identifying the unknown model is not required. First, we propose a…

Systems and Control · Electrical Eng. & Systems 2023-01-16 Bingzhuo Zhong , Majid Zamani , Marco Caccamo

In this paper, we present a novel data-driven approach to quantify safety for non-linear, discrete-time stochastic systems with unknown noise distribution. We define safety as the probability that the system remains in a given region of the…

Systems and Control · Electrical Eng. & Systems 2024-10-10 Frederik Baymler Mathiesen , Licio Romao , Simeon C. Calvert , Luca Laurenti , Alessandro Abate

This paper develops a physics-informed scenario approach for safety verification of nonlinear systems using barrier certificates (BCs) to ensure that system trajectories remain within safe regions over an infinite time horizon. Designing…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Ali Aminzadeh , MohammadHossein Ashoori , Amy Nejati , Abolfazl Lavaei