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Linear Regression 1 [Python]

Steve Brunton
6 min
Intermediate
Video
Application

This video describes how the singular value decomposition (SVD) can be used for linear regression in Python (part 1).

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Standing Waves Demonstration

Christopher Lum
44 min
Beginner
Video
Theory

In this video we demonstrate standing waves. We show how the system can be excited by oscillating at specific frequencies to generating standing waves. The...

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Data-Driven Control: Balanced Truncation

Steve Brunton
14 min
Intermediate
Video
Theory

In this lecture, we describe the balanced truncation procedure for model reduction, where a handful of the most controllable and observable state directions are kept for the reduced-order...

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PID Control - A brief introduction

Brian Douglas
7 min
Beginner
Video
Theory

In this video, I introduce the topic of PID control. This is a short introduction design to prepare you for the next few lectures where I will go through several examples of PID control....

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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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Computing the DFT Matrix

Steve Brunton
7 min
Beginner
Video
Theory

This video discusses how to compute the Discrete Fourier Transform (DFT) matrix in Matlab and Python. In practice, the DFT should usually be computed using the fast Fourier transform (FFT)...

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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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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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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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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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