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Kalman Filter Tutorial

Alex Becker
Beginner
Article / Blog
Theory

The Kalman Filter is an easy topic. However, many tutorials are not easy to understand. Most require extensive mathematical background which makes them difficult to understand. Also, most...

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Fourier Series: Part 2

Steve Brunton
6 min
Beginner
Video
Theory

This video will show how to approximate a function with a Fourier series, which is an infinite sum of sines and cosines. We will discuss how these sines and cosines form a basis for the...

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Closed Loop Feedback Control

Vincent Stevenson
13 min
Beginner
Video
Theory

Intro to closed loop (feedback) control motivation, theory, block diagrams and block diagram algebra, and PID controllers

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Transfer Function to State Space

Christopher Lum
56 min
Beginner
Video
Theory

In this video we show how to transform a transfer function to an equivalent state space representation. We will derive various transformations such as contr...

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Drone Control and the Complementary Filter

Brian Douglas
11 min
Beginner
Video
Theory

Let's talk about the complementary filter and how we can use it to estimate the attitude of a drone using an IMU. It is such a dead simple filter, which is a good reason to learn it, but it...

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Derivation of Rodrigues’ Rotation Formula

Christopher Lum
43 min
Intermediate
Video
Theory

In this video we explain and derive Rodrigues’ Rotation Formula. This functions describes how to rotate an arbitrary vector about another arbitrary axis of rotation. This has applications to...

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Inner Products in Hilbert Space

Steve Brunton
8 min
Intermediate
Video
Theory

This video will show how the inner product of functions in Hilbert space is related to the standard inner product of vectors of data.

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Manipulating Aerodynamic Coefficients

Christopher Lum
25 min
Beginner
Video
Theory

In this video we discuss some potential problems you may encounter when attempting to perform operations with dimensionless aerodynamic coefficients such as ...

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SVD: Eigenfaces 1 [Matlab]

Steve Brunton
7 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 1).

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