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Euler (Gimbal Lock) Explained

GuerrillaCG
8 min
Beginner
Video
Theory

In this video we explore Euler Rotations, the most common method for orienting objects in 3d. It's by-product "gimbal lock" can cause headaches for animators because the animated motion can...

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Discrete control #5: The bilinear transform

Brian Douglas
15 min
Beginner
Video
Theory

This is video number five on discrete control and here, we’re going to cover the famous and useful bilinear transform. The bilinear transform is yet another method for converting, or mapping...

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Final Value Theorem and Steady State Error

Brian Douglas
12 min
Beginner
Video
Theory

This Final Value Theorem is a way we can determine what value the time domain function approaches at infinity but from the S-domain transfer function. This is very helpful when we're trying...

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Intro to Process Control

Vincent Stevenson
6 min
Beginner
Video
Theory

I discuss the motivation and introduce the logic behind controllers that engineers design to respond to errors in outputs (deviations from set points). P and...

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The Fast Fourier Transform (FFT)

Steve Brunton
8 min
Beginner
Video
Application

Here I introduce the Fast Fourier Transform (FFT), which is how we compute the Fourier Transform on a computer. The FFT is one of the most important algorithms of all time.

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Routh Array and Stability

Vincent Stevenson
7 min
Beginner
Video
Theory

I show how we can find the range of allowed controller gains for a system that will allow us to maintain stability using a Routh Array.

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Understanding The Sensitivity Function

Brian Douglas
13 min
Beginner
Video
Theory

In this video I explain the sensitivity function and try to demystify the equation used to solve for the nominal sensitivity peak. Sensitivity describes how much process variations affect...

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