Topic

 

System Identification

The field of system identification uses statistical methods to build mathematical models of dynamical systems from measured data. System identification also includes the optimal design of experiments for efficiently generating informative data for fitting such models as well as model reduction. A common approach is to start from measurements of the behavior of the system and the external influences (inputs to the system) and try to determine a mathematical relation between them without going into many details of what is actually happening inside the system; this approach is called system identification.

from System Identification - Wikipedia

This topic includes the following resources and journeys:

 

 

System Identification: Theory for the User

Lennart Ljung, Linkoping University, Sweden
Beginner
Book
Theory

From the Back Cover

The field's leading text, now completely updated. 

Modeling dynamical systems ― theory, methodology, and applications. 

Lennart Ljung's System Identification: Theory...

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System Identification Overview

Mathworks
Beginner
Article / Blog
Theory

System identification is a methodology for building mathematical models of dynamic systems using measurements of the input and output signals of the system.  This overview from Mathworks...

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Introduction to System Identification

Mathworks - Professor Lennart Ljung
46 min
Beginner
Video
Theory

In this webinar, you will have a unique chance to learn about system identification from a world-renowned subject expert, Professor Lennart Ljung. Professor Ljung will explain the basic...

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System Identification: Koopman with Control

Steve Brunton
10 min
Intermediate
Video
Theory

This lecture provides an overview of the use of modern Koopman spectral theory for nonlinear control. In particular, we develop control in a coordinate system defined by eigenfunctions of...

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System Identification Methods

Brian Douglas
17 min
Beginner
Video
Theory

System Identification is the process of determining the model or the equations of motion for your system. This is incredibly important because basing a control system design off of a bad...

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System Identification: Regression Models

Steve Brunton
5 min
Intermediate
Video
Theory

This lecture provides an overview of modern data-driven regression methods for linear and nonlinear system identification, based on the dynamic mode decomposition (DMD), Koopman theory, and...

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What are Nonlinear ARX Models?

Mathworks
Intermediate
Article / Blog
Theory

This Mathworks page provides an overview of Nonlinear ARX Models.Nonlinear ARX models extend the linear ARX models to the nonlinear case. The structure of these models enables you to model...

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What Is Online Estimation?

Mathworks
Beginner
Article / Blog
Theory

This Mathworks document describes online estimation. Online estimation algorithms estimate the parameters and states of a model when new data is available during the operation of the...

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