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...
See MoreSystem 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...
See MoreNonlinear 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 MoreMATLAB 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...
See MoreIntroduction 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 MoreWhat 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 MoreWhat 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 MoreSystem 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 MoreLinear 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 MoreNonlinear 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...
See MoreData-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 MoreWhat are Polynomial Models?
This Mathworks page provides an overview of polynomial models.
See MoreSystem 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 MoreWhat 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...
See MoreData 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 MoreTwo 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 MoreSystem 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 MoreMATLAB 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 MoreMATLAB Documentation page: nlarx command
This is the Mathworks documentation page for the nlarx MATLAB command.
See MoreSystem Identification: DMD Control Example
This lecture gives a Matlab example of dynamic mode decomposition with control (DMDc) for full-state system identification.
See MoreOnline 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™.
See MoreSystem 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 MoreMATLAB 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"
See MoreModel 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...
See MoreMATLAB Documentation page: idLinear mapping object
This is the Mathworks documentation page for the idLinear mapping object.
See MoreCompanion resources to “What is System Identification? | System Identif...
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 MoreCompanion Resources to “Linear System Identification | System Identific...
These are the resources that are referenced throughout the MATLAB Tech Talk video I made called "Linear System Identification | System Identification, Part 2"
See MoreCompanion resources to “Nonlinear System Identification | System Identi...
These are the resources that are referenced throughout the MATLAB Tech Talk video I made called "Nonlinear System Identification | System Identification, Part 3"
See MoreCompanion Resources to “Online and Recursive System Identification | Sy...
These are the resources that are referenced throughout the MATLAB Tech Talk video I made called "Online and Recursive System Identification | System Identification, Part 4"
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