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Derivation of Rodrigues’ Rotation Formula

Christopher Lum
43 min
Intermediate
Video
Theory

In this video we explain and derive Rodrigues’ Rotation Formula. This functions describes how to rotate an arbitrary vector about another arbitrary axis of rotation. This has applications to...

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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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SVD: Eigenfaces 3 [Matlab]

Steve Brunton
10 min
Intermediate
Video
Application

This video describes how the singular value decomposition (SVD) can be used to efficiently represent human faces, in the so-called "eigenfaces" (Matlab code, part 3).

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Relative Gain Array RGA Analysis

Vincent Stevenson
6 min
Beginner
Video
Theory

I cover how you can find the relative gain array from the steady state gain array, and interpret the results to determine which input to pair with which outp...

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Standard HW Problem #1: PID and Root Locus

Brian Douglas
18 min
Beginner
Video
Theory

A walk through of a typical homework problem using the root locus method to tune a PID controller. This is the first in what may be a series of homework style problems I'll cover. This is...

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State Space in Process Control

Vincent Stevenson
10 min
Beginner
Video
Theory

An overview on how we can derive a state space model from a given set of state variables and inputs, as well as an intro to deviation variables. This is part...

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Peter Ponders PID - InputShaping

Peter Nachtwey
21 min
Beginner
Video
Theory
Input shaping is used by cranes and other applications where a load that vibrates or swings needs to be moved into position without vibrating or oscillating ... See More

The Root Locus Method - Introduction

Brian Douglas
13 min
Beginner
Video
Theory

This Root Locus method is a fantastic way of visualizing how the poles of a system move through the S-plane when a single system parameter is varied from 0 to infinity. I show how to...

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