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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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Koopman Spectral Analysis (Overview)

Steve Brunton
27 min
Intermediate
Video
Theory

In this video, we introduce Koopman operator theory for dynamical systems. The Koopman operator was introduced in 1931, but has experienced renewed interest recently because of the...

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The Fourier Transform

Steve Brunton
14 min
Beginner
Video
Theory

This video will discuss the Fourier Transform, which is one of the most important coordinate transformations in all of science and engineering.

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Machine Learning Goals

Steve Brunton
7 min
Beginner
Video
Theory

This lecture discusses the high-level goals of machine learning, and what we want out of our models. Goals include speed and accuracy, along with interpretability, generalizability...

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Feedforward Control Intro

Vincent Stevenson
7 min
Beginner
Video
Theory

If we know how a disturbance will affect an output, we can proactively change our manipulated variable to counteract it.

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Introduction to System Stability and Control

Brian Douglas
11 min
Beginner
Video
Theory

This video attempts to provide an intuitive understanding of concepts like stability and stability margin. I briefly describe both of these topics with examples and explain how you can...

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