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Least Squares Regression and the SVD

Steve Brunton
5 min
Beginner
Video
Theory

This video describes how the SVD can be used to solve linear systems of equations. In particular, it is possible to solve nonsquare systems (overdetermined or underdetermined) via least...

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Types of Machine Learning 2

Steve Brunton
6 min
Beginner
Video
Theory

This lecture gives an overview of the main categories of machine learning, including supervised, un-supervised, and semi-supervised techniques, depending on the availability of expert labels...

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Understanding PID Controller

Jay Mistry
13 min
Beginner
Article / Blog
Theory

This blog post begins by walking through the basics and the theoretical part of the PID controllers.  The controller is then tested, verified, and analyzed using MATLAB.

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Sketching Root Locus Part 1

Brian Douglas
13 min
Beginner
Video
Theory

Sketching a root locus by hand can be done by following some simple rules. However, more important than actually being able to sketch to plot is being able to use our knowledge to design...

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Control Bootcamp: Full-State Estimation

Steve Brunton
11 min
Beginner
Video
Theory

This video describes full-state estimation. An estimator dynamical system is constructed, and it is shown that the estimate converges to the true state. Further, the eigenvalues of the...

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Solving the 1D Heat Equation

Christopher Lum
47 min
Beginner
Video
Theory

In this video we simplify the general heat equation to look at only a single spatial variable, thereby obtaining the 1D heat equation. We solving the result...

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Particle Filter Explained without Equations

Andreas Svensson
7 min
Beginner
Video
Theory

This video provides a quick graphical introduction to the particle filter. It does a good job building some intuition behind the filter without ever touching on any mathematics. It's worth a...

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