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How Kalman Filters Work, Part 1

Tucker McClure
30 min
Beginner
Article / Blog
Theory

This article looks at four popular estimation filter architectures: particle filter, sigma point filter, extended Kalman filter, and the Kalman filter. It discusses how all four of these...

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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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Interactive Tools for Control Purposes

Prof. José Luis Guzmán
Intermediate
App
Theory

This resource provides different links to Interactive Tools that can be used for control education. Interactive Tools are very powerful educational resources as support to learning and...

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Artificial Intelligence

Steve Brunton
6 min
Beginner
Video
Theory

This lecture discusses artificial intelligence (AI) in the context of data science and machine learning.

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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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What Is Fuzzy Logic | Fuzzy Logic Part 1

Mathworks - Brian Douglas
16 min
Beginner
Video
Theory

This video introduces fuzzy logic and explains how you can use it to design a fuzzy inference system (FIS), which is a powerful way to use human experience to design complex systems...

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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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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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Nyquist Stability Criterion, Part 1

Brian Douglas
16 min
Beginner
Video
Theory

An explanation of the Nyquist Stability Criterion. This video steps through the importance of the criterion, how to interpret the Nyquist plot graphically, and why it is the way it is....

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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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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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