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.

# Topic

# System Identification

This topic includes the following resources and journeys:

### Type

### Experience

### Scope

## 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...

## 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...

See More## MATLAB Documentation page: nlarx command

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

See More## MATLAB Scripts for video "Linear System Identification | System Identification, Pa...

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"

See More## 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...

See More## MATLAB Documentation page: idLinear mapping object

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

See More## 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.

See More## 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*...

## 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...

See More## 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...

See More## 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...

See More## 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...

See More## 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...

See More## 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...

See More## What are Polynomial Models?

This Mathworks page provides an overview of polynomial models.

See More## System Identification: DMD Control Example

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

See More## 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...

See More## 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...

See More## 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.

See More## System Identification Methods

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...

See More## 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".

See More## System Identification: Regression Models

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...

See More## Identifying Dominant Balance Physics from Data - Jared Callaham

This video illustrates a new algorithm to identify local dominant physical balance relations from multiscale spatiotemporal data.

See More## Frequency Response Analysis FRA and the Amplitude Ratio and Phase Angle

Process engineers model output response to inputs that oscillate via frequency response analysis (FRA). In this video, I'll go over amplitude ratios and phas...

See More## Visually Determining Transfer Functions

Process Control classes can get pretty hard to follow when you lose sight of what transfer functions really are. How do you get them in the first place?

See More## Companion resources to "What is System Identification? | System Identification, Pa...

These are the resources that are referenced throughout the MATLAB Tech Talk video I made called "What is System Identification? | System Identification, Part 1"

See More## Companion Resources to "Linear System Identification | System Identification, Part...

These are the resources that are referenced throughout the MATLAB Tech Talk video I made called "Linear System Identification | System Identification, Part 2"

The video has not been...

See More## Companion resources to "Nonlinear System Identification | System Identification, P...

These are the resources that are referenced throughout the MATLAB Tech Talk video I made called "Nonlinear System Identification | System Identification, Part 3"

The video has not been...

See More