Sys­tem Iden­ti­fi­ca­tion Overview 

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...

Sys­tem Iden­ti­fi­ca­tion: The­o­ry for the User 

From the Back Cover

The field's leading text, now completely updated. 

Modeling dynamical systems ― theory, methodology, and applications. 

Lennart Ljung's System Identification...

Non­lin­ear Mod­el Identification 

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...

MAT­LAB Exam­ple: Online Recur­sive Least Squares Estimation 

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...

Intro­duc­tion to Sys­tem Identification 

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...

What are Non­lin­ear ARX Models? 

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...

What Is Sys­tem Iden­ti­fi­ca­tion? | Sys­tem Iden­ti­fi­ca­tion, Part 1 

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...

Sys­tem Iden­ti­fi­ca­tion: Koop­man with Control 

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...

Lin­ear Mod­el Iden­ti­fi­ca­tion Basics 

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...

Non­lin­ear Sys­tem Iden­ti­fi­ca­tion | Sys­tem Iden­ti­fi­ca­tion, Part 3 

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...

Data-Dri­ven Con­trol: Lin­ear Sys­tem Identification 

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.

What are Poly­no­mi­al Models? 

This Mathworks page provides an overview of polynomial models. 

Sys­tem Iden­ti­fi­ca­tion: Full-State Mod­els with Control 

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...

What Is Online Estimation? 

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...

Data based mod­el­ing of non­lin­ear dynam­ic sys­tems using Sys­tem Iden­ti­fi­ca­tion Toolbox 

Using an engine throttle valve modeling example, this demo shares some perspectives on creation of nonlinear models of dynamic systems from the measurements of its input and outputs. It...

Two Tank Sys­tem: C MEX-File Mod­el­ing of Time-Con­tin­u­ous SISO System 

This MATLAB example shows how to perform IDNLGREY modeling based on C MEX model files. It uses a simple system where nonlinear state space modeling really pays off.

Sys­tem Iden­ti­fi­ca­tion: Dynam­ic Mode Decom­po­si­tion with Control 

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...

MAT­LAB scripts for ​“Non­lin­ear Sys­tem Iden­ti­fi­ca­tion | Sys­tem Iden­ti­fi­ca­tion, Part...

This Github repo contains the data files and MATLAB scripts that were used in "Nonlinear System Identification | System Identification, Part 3".

MAT­LAB Doc­u­men­ta­tion page: nlarx command 

This is the Mathworks documentation page for the nlarx MATLAB command.

Sys­tem Iden­ti­fi­ca­tion: DMD Con­trol Example 

This lecture gives a Matlab example of dynamic mode decomposition with control (DMDc) for full-state system identification.

Online Fault Detec­tion for a DC Motor 

Program embedded processors to estimate parameters and detect changes in motor dynamics in real time using System Identification Toolbox™.

Sys­tem Iden­ti­fi­ca­tion: Sparse Non­lin­ear Mod­els with Control 

This lecture explores an extension of the sparse identification of nonlinear dynamics (SINDy) algorithm to include inputs and control. The resulting SINDY with control (SINDYc) can be used...

MAT­LAB Scripts for video ​“Lin­ear Sys­tem Iden­ti­fi­ca­tion | Sys­tem Iden­ti­fi­ca­tion, P...

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" 

Mod­el Iden­ti­fi­ca­tion and Adap­tive Con­trol — From Wind­surf­ing to Telecommunications 

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...

MAT­LAB Doc­u­men­ta­tion page: idLin­ear map­ping object 

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