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Control Bootcamp: Full-State Estimation

Steve Brunton
11 min
Beginner
Video
Theory

This video describes full-state estimation. An estimator dynamical system is constructed, and it is shown that the estimate converges to the true state. Further, the eigenvalues of the...

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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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The Laplace Transform - A Graphical Approach

Brian Douglas
13 min
Beginner
Video
Theory

A lot of books cover how to perform a Laplace Transform to solve differential equations. This video tries to show graphically what the Laplace Transform is doing and why figuring out the...

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Particle Filter Explained without Equations

Andreas Svensson
7 min
Beginner
Video
Theory

This video provides a quick graphical introduction to the particle filter. It does a good job building some intuition behind the filter without ever touching on any mathematics. It's worth a...

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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 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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Stability and Eigenvalues [Control Bootcamp]

Steve Brunton
19 min
Beginner
Video
Theory

Here we discuss the stability of a linear system (in continuous-time or discrete-time) in terms of eigenvalues. Later, we will actively modify these eigenvalues, and hence the dynamics...

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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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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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Manipulating Aerodynamic Coefficients

Christopher Lum
25 min
Beginner
Video
Theory

In this video we discuss some potential problems you may encounter when attempting to perform operations with dimensionless aerodynamic coefficients such as ...

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