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The Taylor Series

Christopher Lum
84 min
Beginner
Video
Theory

In this video we discuss the Taylor Series (and the closely related Maclaurin Series). These are two specific types of Power Series that allow you to approx...

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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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Stability and Eigenvalues [Control Bootcamp]

Steve Brunton
19 min
Beginner
Video
Theory

Here we discuss the stability of a linear system (in continuous-time or discrete-time) in terms of eigenvalues. Later, we will actively modify these eigenvalues, and hence the dynamics...

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SVD: Eigenfaces 4 [Matlab]

Steve Brunton
6 min
Intermediate
Video
Application

This video describes how the singular value decomposition (SVD) can be used to efficiently represent human faces, in the so-called "eigenfaces" (Matlab code, part 4).

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Gimbal Lock in reference to the Apollo missions

The Vintage Space
4 min
Intermediate
Video
Theory

A gimbal is a pivoted support that permits rotation of an object about an axis. For this reason, a set of three axes gimbals are used in spacecrafts to help with orientation attitude control...

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Coriolis Effect Demonstration (with Drones)

Christopher Lum
13 min
Intermediate
Video
Theory

We demonstrate how rotating reference frames give rise to the Coriolis effect and centrifugal acceleration. In this video, we approach this as a simple physics demonstration and examine...

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