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This work explores the trade-off between the number of samples required to accurately build models of dynamical systems and the degradation of performance in various control objectives due to a coarse approximation. In particular, we show…

最优化与控制 · 数学 2017-12-01 Stephen Tu , Ross Boczar , Andrew Packard , Benjamin Recht

Sensor and control data of modern mechatronic systems are often available as heterogeneous time series with different sampling rates and value ranges. Suitable classification and regression methods from the field of supervised machine…

机器学习 · 计算机科学 2021-04-09 Karl-Philipp Kortmann , Moritz Fehsenfeld , Mark Wielitzka

We study the problem of generating control laws for systems with unknown dynamics. Our approach is to represent the controller and the value function with neural networks, and to train them using loss functions adapted from the…

机器人学 · 计算机科学 2023-02-21 Selim Engin , Volkan Isler

We present data-based conditions for enforcing contractivity via feedback control and obtain desired asymptotic properties of the closed-loop system. We focus on unknown nonlinear control systems whose vector fields are expressible via a…

系统与控制 · 电气工程与系统科学 2025-06-19 Zhongjie Hu , Claudio De Persis , Pietro Tesi

The exploration of complex physical or technological processes usually requires exploiting available information from different sources: (i) physical laws often represented as a family of parameter dependent partial differential equations…

数值分析 · 数学 2020-02-04 Albert Cohen , Wolfgang Dahmen , Ron DeVore

This paper is concerned with the problem of Model Predictive Control and Rolling Horizon Control of discrete-time systems subject to possibly unbounded random noise inputs, while satisfying hard bounds on the control inputs. We use a…

最优化与控制 · 数学 2010-09-08 Peter Hokayem , Debasish Chatterjee , John Lygeros

This paper is dedicated to control theoretically explainable application of autoencoders to optimal fault detection in nonlinear dynamic systems. Autoencoder-based learning is a standard machine learning method and widely applied for fault…

系统与控制 · 电气工程与系统科学 2023-05-17 Linlin Li , Steven X. Ding , Ketian Liang , Zhiwen Chen , Ting Xue

Representation learning has been proven to play an important role in the unprecedented success of machine learning models in numerous tasks, such as machine translation, face recognition and recommendation. The majority of existing…

机器学习 · 计算机科学 2020-09-24 Wentao Wang , Guowei Xu , Wenbiao Ding , Gale Yan Huang , Guoliang Li , Jiliang Tang , Zitao Liu

To investigate solutions of (near-)optimal control problems, we extend and exploit a notion of homogeneity recently proposed in the literature for discrete-time systems. Assuming the plant dynamics is homogeneous, we first derive a scaling…

最优化与控制 · 数学 2021-09-24 Mathieu Granzotto , Romain Postoyan , Lucian Buşoniu , Dragan Nešić , Jamal Daafouz

This paper studies worst-case robust optimal tracking using noisy input-output data. We utilize behavioral system theory to represent system trajectories, while avoiding explicit system identification. We assume that the recent output data…

最优化与控制 · 数学 2021-06-28 Liang Xu , Mustafa Sahin Turan , Baiwei Guo , Giancarlo Ferrari-Trecate

This paper presents a tractable framework for data-driven synthesis of robustly safe control laws. Given noisy experimental data and some priors about the structure of the system, the goal is to synthesize a state feedback law such that the…

最优化与控制 · 数学 2023-03-17 Jian Zheng , Tianyu Dai , Jared Miller , Mario Sznaier

The study of multiplicative noise models has a long history in control theory but is re-emerging in the context of complex networked systems and systems with learning-based control. We consider linear system identification with…

系统与控制 · 电气工程与系统科学 2020-07-06 Yu Xing , Ben Gravell , Xingkang He , Karl Henrik Johansson , Tyler Summers

Equilibrium systems are a powerful way to express neural computations. As special cases, they include models of great current interest in both neuroscience and machine learning, such as deep neural networks, equilibrium recurrent neural…

机器学习 · 计算机科学 2022-11-01 Alexander Meulemans , Nicolas Zucchet , Seijin Kobayashi , Johannes von Oswald , João Sacramento

To predict rare extreme events using deep neural networks, one encounters the so-called small data problem because even long-term observations often contain few extreme events. Here, we investigate a model-assisted framework where the…

机器学习 · 计算机科学 2022-04-20 Anna Asch , Ethan Brady , Hugo Gallardo , John Hood , Bryan Chu , Mohammad Farazmand

The increasing decentralization of power systems driven by a large number of renewable energy sources poses challenges in power flow optimization. Partially unknown power line properties can render model-based approaches unsuitable. With…

系统与控制 · 电气工程与系统科学 2025-09-30 Sebastian Otzen , Hannes M. H. Wolf , Christian A. Hans

Data-driven methods of model identification are able to discern governing dynamics of a system from data. Such methods are well suited to help us learn about systems with unpredictable evolution or systems with ambiguous governing dynamics…

数据分析、统计与概率 · 物理学 2025-01-23 Gina Vasey , Daniel Messenger , David Bortz , Andrew Christlieb , Brian O'Shea

When training data is sparse, more domain knowledge must be incorporated into the learning algorithm in order to reduce the effective size of the hypothesis space. This paper builds on previous work in which knowledge about qualitative…

机器学习 · 计算机科学 2012-07-09 Eric E. Altendorf , Angelo C. Restificar , Thomas G. Dietterich

This paper is about output-feedback control problems for general linear systems in the presence of given state-, control-, disturbance-, and measurement error constraints. Because the traditional separation theorem in stochastic control is…

最优化与控制 · 数学 2023-07-11 Boris Houska

The identification of the governing equations of chaotic dynamical systems from data has recently emerged as a hot topic. While the seminal work by Brunton et al. reported proof-of-concepts for idealized observation setting for…

机器学习 · 计算机科学 2019-03-26 Duong Nguyen , Said Ouala , Lucas Drumetz , Ronan Fablet

Microgrids have more operational flexibilities as well as uncertainties than conventional power grids, especially when renewable energy resources are utilized. An energy storage based feedback controller can compensate undesired dynamics of…

系统与控制 · 电气工程与系统科学 2022-03-10 Tianwei Xia , Kai Sun , Wei Kang