# 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

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## What Is System Identification? | System Identification, Part 1

16 min
Beginner
Video
Theory

Get an introduction to system identification that covers what it is and where it fits in the bigger picture. See how the combination of data-driven methods and physical intuition can improve...

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## System Identification: Theory for the User

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...

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## Linear System Identification | System Identification, Part 2

18 min
Beginner
Video
Theory

Learn how to use system identification to fit and validate a linear model to data that has been corrupted by noise and external disturbances Noise and disturbances can make it difficult to...

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## System Identification Overview

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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## ITCLI: An Interactive Tool for Closed-Loop Identification

Intermediate
App
Application

The Interactive Tool for Closed-Loop Identification (ITCLI) is an interactive software tool for understanding SISO closed-loop identification using prediction-error techniques. The tool...

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## System Identification: Koopman with Control

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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## i-pIDtune: An interactive tool for integrated system identification and PID ...

Intermediate
App
Application

i-pIDtune is an interactive software tool that integrates system identification and PID controller design. The tool supports experimental design and execution under plant-friendly conditions...

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## ITCRI: An Interactive Software Tool for Control-Relevant Identification

Intermediate
App
Application

The Interactive Tool for Control Relevant Identification (ITCRI) comprehensively captures the control-relevant identification process, from input design to closed-loop control, depicting...

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## Perspectives on Control-Relevant Identification Through the Use of Interacti...

Intermediate
Peer Reviewed Paper
Theory

This paper presents a control-relevant identification methodology through an intuitive interactive tool called "Interactive Tool for Control Relevant Identification (ITCRI)". ITCRI...

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## Nonlinear Model Identification

Intermediate
Article / Blog
Application

Mathwork overview page describing nonlinear model identification. Use nonlinear model identification when a linear model does not completely capture your system dynamics. You can identify...

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## ITSIE: An Interactive Software Tool for System Identification Education

Beginner
App
Application

ITSIE is an Interactive Tool for System Identification Education. The tool is developed using Sysquake, a Matlab-like language with fast execution and excellent facilities for interactive...

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## Manuscript about ITISE: an Interactive Software Tool for System Identificati...

Intermediate
Peer Reviewed Paper
Theory

The paper describes the conceptual basis, main features and functionality of an interactive software tool developed in support of system identification education and discovery.

This...

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## Introduction to System Identification

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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## MATLAB Example: Online Recursive Least Squares Estimation

Intermediate
Project
Demonstration

This example shows how to implement an online recursive least squares estimator. You estimate a nonlinear model of an internal combustion engine and use recursive least squares to detect...

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## MATLAB Scripts for video "Linear System Identification | System Identificati...

Intermediate
Software
Demonstration

This Github repo contains the data files and MATLAB scripts that were used in the MATLAB Tech Talk video "Linear System Identification | System Identification, Part 2"

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## Model Identification and Adaptive Control - From Windsurfing to Telecommunic...

Beginner
Book
Theory

This book is based on a workshop entitled: "Model Identification and Adap­tive Control: From Windsurfing to Telecommunications" held in Sydney, Aus­tralia, on December 16, 2000. The workshop...

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## MATLAB Documentation page: idLinear mapping object

Intermediate
Article / Blog
Application

This is the Mathworks documentation page for the idLinear mapping object.

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## Data-Driven Control: Linear System Identification

20 min
Beginner
Video
Theory

Overview lecture on linear system identification and model reduction. This lecture discusses how we obtain reduced-order models from data that optimally capture input--output dynamics.

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## Online and Recursive System Identification | System Identification, Part 4

19 min
Beginner
Video
Theory

Online system identification algorithms estimate the parameters and states of a model as new data is measured and available in real-time or near real-time. Brian Douglas covers what online...

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## System Identification: Full-State Models with Control

10 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?

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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## Linear Model Identification Basics

Intermediate
Article / Blog
Application

This is a curated list of Mathworks products, examples, and topics that cover identifying linear models, selecting suitable model structures, constructing and modifying model object...

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## Nonlinear System Identification | System Identification, Part 3

17 min
Beginner
Video
Theory

Learn about nonlinear system identification by walking through one of the many possible model options: A nonlinear ARX model. Brian Douglas covers the importance of adding an offset term to...

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## System Identification: Dynamic Mode Decomposition with Control

11 min
Intermediate
Video
Theory

This lecture provides an overview of dynamic mode decomposition with control (DMDc) for full-state system identification. DMDc is a least-squares regression technique based on the singular...

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## What are Polynomial Models?

Intermediate
Article / Blog
Theory

This Mathworks page provides an overview of polynomial models.

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