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We consider the problem of designing robust state-feedback controllers for discrete-time linear time-invariant systems, based directly on measured data. The proposed design procedures require no model knowledge, but only a single open-loop…

Systems and Control · Electrical Eng. & Systems 2020-10-27 Julian Berberich , Anne Romer , Carsten W. Scherer , Frank Allgöwer

Recent years have seen the rise of statistical program learning based on neural models as an alternative to traditional rule-based systems for programming by example. Rule-based approaches offer correctness guarantees in an unsupervised way…

Machine Learning · Computer Science 2020-06-08 Raphaël Dang-Nhu

Despite decades of research and recent progress in adaptive control and reinforcement learning, there remains a fundamental lack of understanding in designing controllers that provide robustness to inherent non-asymptotic uncertainties…

Machine Learning · Computer Science 2021-08-13 Benjamin Gravell , Tyler Summers

The paper discusses regularization properties of artificial data for deep learning. Artificial datasets allow to train neural networks in the case of a real data shortage. It is demonstrated that the artificial data generation process,…

Machine Learning · Computer Science 2019-08-21 Karol Antczak

Data augmentation is used in machine learning to make the classifier invariant to label-preserving transformations. Usually this invariance is only encouraged implicitly by including a single augmented input during training. However,…

Machine Learning · Computer Science 2022-03-08 Aleksander Botev , Matthias Bauer , Soham De

Current approaches to data-driven control are geared towards optimal performance, and often integrate aspects of machine learning and large-scale convex optimization, leading to complex implementations. In many applications, it may be…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Liangjie Chen , John W. Simpson-Porco

In this article, we improve extreme learning machines for regression tasks using a graph signal processing based regularization. We assume that the target signal for prediction or regression is a graph signal. With this assumption, we use…

Machine Learning · Statistics 2018-03-14 Arun Venkitaraman , Saikat Chatterjee , Peter Händel

This paper proposes a procedure to control an uncertain discrete-time networked control system through a limited stabilizing input information. The system is primarily affected by the time-varying, norm bounded, mismatched parametric…

Optimization and Control · Mathematics 2015-12-23 Niladri Sekhar Tripathy , I. N. Kar , Kolin Paul

One of the fundamental challenges for offline reinforcement learning (RL) is ensuring robustness to data distribution. Whether the data originates from a near-optimal policy or not, we anticipate that an algorithm should demonstrate its…

Machine Learning · Computer Science 2023-10-18 Xiaohan Hu , Yi Ma , Chenjun Xiao , Yan Zheng , Jianye Hao

We present a stochastic constrained output-feedback data-driven predictive control scheme for linear time-invariant systems subject to bounded additive disturbances. The approach uses data-driven predictors based on an extension of Willems'…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Johannes Teutsch , Sebastian Kerz , Dirk Wollherr , Marion Leibold

This article addresses the problem of data-driven numerical optimal control for unknown nonlinear systems. In our scenario, we suppose to have the possibility of performing multiple experiments (or simulations) on the system. Experiments…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Marco Borghesi , Lorenzo Sforni , Giuseppe Notarstefano

Deep neural networks have achieved remarkable results across many language processing tasks, however these methods are highly sensitive to noise and adversarial attacks. We present a regularization based method for limiting network…

Computation and Language · Computer Science 2016-09-21 Yitong Li , Trevor Cohn , Timothy Baldwin

Given the recent surge of interest in data-driven control, this paper proposes a two-step method to study robust data-driven control for a parameter-unknown linear time-invariant (LTI) system that is affected by energy-bounded noises.…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Jiabao He , Xuan Zhang , Feng Xu , Junbo Tan , Xueqian Wang

We stabilize a prescribed cycle or an equilibrium of the difference equation using pulsed stochastic control. Our technique, inspired by the Kolmogorov's Law of Large Numbers, activates a stabilizing effect of stochastic perturbation and…

Dynamical Systems · Mathematics 2020-12-22 Elena Braverman , Conall Kelly , Alexandra Rodkina

In this work, we investigate data fitting problems with random noises. A randomized progressive iterative regularization method is proposed. It works well for large-scale matrix computations and converges in expectation to the least-squares…

Numerical Analysis · Mathematics 2025-06-05 Dakang Cen , Wenlong Zhang , Junbin Zhong

This paper addresses data-driven control of continuous-time systems. We develop a framework based on synthesis operators associated with input and state trajectories. A key advantage of the proposed method is that it does not require the…

Optimization and Control · Mathematics 2025-11-27 Masashi Wakaiki

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

Deep Reinforcement Learning (Deep RL) has been receiving increasingly more attention thanks to its encouraging performance on a variety of control tasks. Yet, conventional regularization techniques in training neural networks (e.g., $L_2$…

Machine Learning · Computer Science 2021-11-30 Zhuang Liu , Xuanlin Li , Bingyi Kang , Trevor Darrell

We study model predictive control for singular differential-algebraic equations with higher index. This is a novelty when compared to the literature where only regular differential-algebraic equations with additional assumptions on the…

Optimization and Control · Mathematics 2022-02-08 Achim Ilchmann , Jonas Witschel , Karl Worthmann

Autonomous systems increasingly rely on machine learning techniques to transform high-dimensional raw inputs into predictions that are then used for decision-making and control. However, it is often easy to maliciously manipulate such…

Machine Learning · Computer Science 2023-02-07 Jinghan Yang , Hunmin Kim , Wenbin Wan , Naira Hovakimyan , Yevgeniy Vorobeychik