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System Identification: Koopman with Control

Steve Brunton
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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Data-Driven Dynamical Systems Overview

Steve Brunton
21 min
Intermediate
Video
Theory

This video provides a high-level overview of this new series on data-driven dynamical systems. In particular, we explore the various challenges in modern dynamical systems, along with...

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Extremum Seeking Control in Matlab

Steve Brunton
17 min
Beginner
Video
Application

This lecture explores extremum-seeking control (ESC) on a simple example in Matlab. In particular, a discrete-time (digital) version of ESC is coded in a Matlab script.

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Linear Regression

Steve Brunton
10 min
Beginner
Video
Theory

Linear regression is a cornerstone of data-driven modeling; here we show how the SVD can be used for linear regression.

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MATLAB Function: ztrans

MathWorks
Intermediate
Software
Application

ztrans(f) finds the Z-Transform of f. By default, the independent variable is n and the transformation variable is z. If f does not contain n, ztrans uses symvar. 

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Nyquist Stability Criterion, Part 2

Brian Douglas
18 min
Beginner
Video
Theory

An explanation of the Nyquist Stability Criterion part 2. This video steps through the how to sketch a Nyquist plot by hand, what to do if there are open loop pools on the imaginary axis...

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Kalman Filter Simulink 2022A example

Brian Douglas
Intermediate
Virtual Lab
Demonstration

This model is intended to help illustrate how a Kalman filter can estimate the state of a system. The "real system" is a nonlinear model of the Temperature Control Lab by Prof. John...

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Algorithms for Automated Driving

Mario Theers
Intermediate
Project
Application

Each chapter of this (mini-)book guides you in programming one important software component for automated driving. Currently, this book contains two chapters: Lane Detection, and Control...

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3-DOF Orientation Tracking with IMUs

Gordon Wetzstein
30 min
Beginner
Article / Blog
Theory

This document is not meant to be a comprehensive review of orientation tracking for virtual reality applications but rather an intuitive introduction to inertial measurement units (IMUs) and...

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Nonlinear Model Identification

Mathworks
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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Understanding Closed-Loop Control

Brian Douglas
9 min
Beginner
Video
Demonstration

This lecture discusses the differences between open loop and closed loop control in a very easy and intuitive way. Daily examples, like a dishwasher, plant irrigation, and car speed systems...

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Koopman Spectral Analysis (Control)

Steve Brunton
15 min
Intermediate
Video
Theory

In this video, we explore extensions of Koopman theory for control systems. Much of the excitement and promise of Koopman operator theory is centered around the ability to represent...

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Why Digital Beamforming Is Useful for Radar

Mathworks - Brian Douglas
13 min
Intermediate
Video
Theory

Learn how you can use digital beamformers to improve the performance and functions of radar systems. The MATLAB Tech Talk series on radar covered how to use radar to determine range, range...

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