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Data-Driven Control: Balancing Transformation

Steve Brunton
11 min
Intermediate
Video
Theory

In this lecture, we derive the balancing coordinate transformation that makes the controllability and observability Gramians equal and diagonal. This is the critical step in balanced model...

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Control Systems Lectures - LTI Systems

Brian Douglas
7 min
Beginner
Video
Theory

This lecture describes what it means when we say a system is linear and time invariant. I also try to give an example as to why these systems are so important when designing control systems...

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Machine Learning Overview

Steve Brunton
7 min
Beginner
Video
Theory

This lecture provides an overview of machine learning, and how it fits into this introductory video sequence on data science. We discuss how machine learning involves "modeling with data".

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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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Neural Networks and Deep Learning

Steve Brunton
7 min
Beginner
Video
Theory

This lecture explores the recent explosion of interest in neural networks and deep learning in the context of 1) vast and increasing data sets, and 2) rapidly improving computational...

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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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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 Learn Control Theory

Brian Douglas
5 min
Beginner
Video
Theory

In this video I present a few reasons why learning control theory is important and try to give some motivation to continue learning.

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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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