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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.
About
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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Book ChapterDOI

Data-Driven Dissipative Verification of LTI Systems: Multiple Shots of Data, QDF Supply-Rate and Application to a Planar Manipulator

TL;DR: In this paper , a data-driven dissipative verification method for LTI systems based on using multiple input-output data is presented, assuming that the supply-rate functions have a quadratic difference form corresponding to the general dissipativity notion known in the behavioural framework.
Proceedings ArticleDOI

On a Continuous-Time Version of Willems’ Lemma

TL;DR: In this article , a method to represent every input-output trajectory of a continuous-time linear system in terms of previously collected data is presented, which corresponds to a continuous time version of the well-known Willems lemma.
Journal ArticleDOI

Standard and Fractional Discrete-Time Linear Systems with Zero Transfer Matrices

TL;DR: In this paper , the transfer matrix of the standard and fractional linear discrete-time linear systems is investigated and necessary and sufficient conditions for zeroing of the transfer matrices are established.
Journal ArticleDOI

Data‐driven control of dynamic event‐triggered systems with delays

TL;DR: In this article , a data-driven control of unknown sampled-data linear systems with communication delays under an event-triggering transmission mechanism is proposed, and a model-based stability condition for the resulting event-triggered time-delay system is established using a novel looped functional approach.
Proceedings ArticleDOI

Imitation and Transfer Learning for LQG Control

TL;DR: In this article , an imitation and transfer learning approach is proposed for linear quadratic Gaussian (LQG) control, where the system dynamics, noise statistics and cost function are unknown and expert data is provided to learn the LQG controller.
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.