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Open AccessJournal ArticleDOI

Behavioral systems theory in data-driven analysis, signal processing, and control

TLDR
Data-driven analysis, signal processing, and control methods as mentioned in this paper can be broadly classified as implicit and explicit approaches, with the implicit approach being more robust to uncertainty and robustness to noise.
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This article is published in Annual Reviews in Control.The article was published on 2021-11-10 and is currently open access. It has received 38 citations till now. The article focuses on the topics: Robust control & Model predictive control.

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Citations
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Proceedings ArticleDOI

A quantitative and constructive proof of Willems’ Fundamental Lemma and its implications

TL;DR: In this article , a quantitative and directional PE notion is proposed to characterize robust PE properties via singular value bounds, as opposed to binary rank-based PE conditions, and an explicit PE lower bound for the generated data is derived.
Journal ArticleDOI

Toward Explainable AutoEncoder-Based Diagnosis of Dynamical Systems

Gregory Provan
- 24 Mar 2023 - 
TL;DR: In this paper , the authors propose an explainable method for applying autoencoders for diagnosis, where they use a metric that maximizes the diagnostics accuracy, which can be used for both single-device diagnostics and complex (multi-device) dynamical systems.
Proceedings ArticleDOI

An Identification Approach for Descriptor Systems

TL;DR: In this paper , a novel identification approach for linear time-invariant descriptor systems based on input-state-output data is proposed, and two groups of data experiments are designed, and corresponding input, state and output data are collected.
Posted Content

On a Stochastic Fundamental Lemma and Its Use for Data-Driven MPC

TL;DR: In this paper, the authors propose a novel variant of the fundamental lemma for stochastic LTI systems, which allows to predict future distributions of the behaviors of LTI system based on the knowledge of previously recorded behavior realizations and based on knowledge of the noise distribution.
References
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Book

Matrix computations

Gene H. Golub
Journal ArticleDOI

Time Series Analysis: Forecasting and Control

TL;DR: Time Series Analysis and Forecasting: principles and practice as mentioned in this paper The Oxford Handbook of Quantitative Methods, Vol. 3, No. 2: Statistical AnalysisTime-Series ForecastingPractical Time-Series AnalysisApplied Bayesian Forecasting and Time Series AnalysisSAS for Forecasting Time SeriesApplied Time Series analysisTime Series analysisElements of Nonlinear Time Series analyses and forecastingTime series analysis and forecasting by Example.
Journal ArticleDOI

Model predictive control: theory and practice—a survey

TL;DR: The flexible constraint handling capabilities of MPC are shown to be a significant advantage in the context of the overall operating objectives of the process industries and the 1-, 2-, and ∞-norm formulations of the performance objective are discussed.
Book

Proximal Algorithms

TL;DR: The many different interpretations of proximal operators and algorithms are discussed, their connections to many other topics in optimization and applied mathematics are described, some popular algorithms are surveyed, and a large number of examples of proxiesimal operators that commonly arise in practice are provided.
Book

Optimal Control: Linear Quadratic Methods

TL;DR: In this article, an augmented edition of a respected text teaches the reader how to use linear quadratic Gaussian methods effectively for the design of control systems, with step-by-step explanations that show clearly how to make practical use of the material.
Trending Questions (2)
How do behavior approaches and data-driven methods relate to each other?

The paper explains that the behavioral approach to systems theory, which takes a representation-free perspective, has gained renewed interest in the data-driven paradigm due to its compatibility with computational methods.

What is behavioral analysis theory?

Behavioral analysis theory is a representation-free perspective of a dynamical system as a set of trajectories, which is suited for data-driven analysis, signal processing, and control.