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Fourier Series: Part 1

Steve Brunton
12 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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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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Why Transfer Functions Matter

Vincent Stevenson
5 min
Beginner
Video
Theory

Once we know a process's transfer function we can model how it will respond to an variety of inputs very easily, check it out.

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Feedforward Control Introduction

Vincent Stevenson
6 min
Beginner
Video
Theory

I introduce feedforward control (FFC) and describe how it can be used to minimize the difference between an output's setpoint and measured value (the error o...

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Control Bootcamp: Observability

Steve Brunton
8 min
Beginner
Video
Theory

This video explores the observability of a linear system, namely the ability to estimate the full state "x(t)" from a time-history of limited output measurements "y(t)".

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The Inverse Laplace Transform

Christopher Lum
48 min
Beginner
Video
Theory

In this video we show how to perform the inverse Laplace transform on a signal in the Laplace domain to obtain its equivalent representation in the time doma...

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