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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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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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Gimbal Lock in reference to the Apollo missions

The Vintage Space
4 min
Intermediate
Video
Theory

A gimbal is a pivoted support that permits rotation of an object about an axis. For this reason, a set of three axes gimbals are used in spacecrafts to help with orientation attitude control...

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Process Control Introduction

Vincent Stevenson
14 min
Beginner
Video
Theory

An overview on state variables, inputs (manipulated and disturbance variables), outputs (measured state variables), and an example on the balance equations w...

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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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