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
What 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 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 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 MoreMATLAB Documentation page: nlarx command
This is the Mathworks documentation page for the nlarx MATLAB command.
See MoreFinding Transfer Functions from Response Graphs
Given a system response to a unit step change, in this video I'll cover how we can derive the transfer function so we can predict how our system will respond...
See MorePeter Ponders PID - System Identification Basics
Peter Ponders PID - System Identification Advanced
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 MoreFrequency 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 MoreVisually 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?
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