Randomized Singular Value Decomposition (SVD)
13 min
Intermediate
Video
Theory
This video describes how to use recent techniques in randomized linear algebra to efficiently compute the singular value decomposition (SVD) for extremely large matrices.
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Intro to Process Control
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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Stanford CS234: Reinforcement Learning | Winter 2019 | Lecture 15 - Batch Re...
79 min
Intermediate
Video
Theory
Professor Emma Brunskill
Assistant Professor, Computer Science
Stanford AI for Human Impact Lab
Stanford Artificial Intelligence Lab
Statistical Machine Learning Group
Essence of Linear Algebra: Understand the Geomterical Beauty in Linear Algeb...
140 min
Intermediate
Course
Application
Linear Algebra is a very important and fundamental topic needed in almost every field of STEM. While the linear part of it is easy to understand and perform operations on, the geometric...
See More![SVD: Eigenfaces 3 [Matlab]](/sites/default/files/styles/search_resulkts/public/2020-12/maxresdefault_416.jpg?itok=hM6yW5WL)
SVD: Eigenfaces 3 [Matlab]
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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Routh Array and Stability
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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Control Bootcamp: Example Frequency Response (Bode Plot) for Spring-Mass-Da...
18 min
Beginner
Video
Theory
This video shows how to compute and interpret the Bode plot for a simple spring-mass-damper system.
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Standard 2nd Order ODEs: Natural Frequency and Damping Ratio
94 min
Beginner
Video
Theory
In this video we discuss writing 2nd order ODEs in standard form xdd(t)+2*zeta*wn*xd(t)+wn^2*x(t)where zeta = damping ratio wn = natural ...
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Numerically Calculating Partial Derivatives
59 min
Beginner
Video
Theory
In this video we discuss how to calculate partial derivatives of a function using numerical techniques. In other words, these partials are calculated withou...
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Peter Ponders PID - IAE,ITAE,ISE Performance indicators
17 min
Beginner
Video
Theory
Performance indicators can be used to compute closed loop pole locations. Only one gain parameter is required to move the pole locations closer to the origi...
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Data-Driven Control: Balanced Truncation and BPOD Example
11 min
Intermediate
Video
Application
In this lecture, we explore balanced truncation and BPOD on a numerical example in Matlab.
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Machine Learning Control: Tuning a PID Controller with Genetic Algorithms
16 min
Beginner
Video
Theory
This lecture shows how to use genetic algorithms to tune the parameters of a PID controller. Tuning a PID controller with genetic algorithms is not generally recommended, but is used to...
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Gain and Phase Margins Explained!
13 min
Beginner
Video
Theory
In this video I explain gain and phase margins. If you are confused by this topic I hope this video will help tie all of the concepts together that go into understanding what gain and phase...
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The Inverse Laplace Transform
48 min
Beginner
Video
Theory
In this video we show how to perform the inverse Laplace transform on a signal in the Laplace domain to obtain its equivalent representation in the time doma...
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Auto Tuning a Small DC Motor in Torque Mode
1 min
Beginner
Video
Theory
I was really testing the picture in picture feature of the Screen Flow software I use to make these videos. I knew the auto tuning would work. I kept the v...
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Understanding Model Predictive Control, Part 7: Adaptive MPC Design with Sim...
8 min
Beginner
Video
Theory
In this video, you will learn how to design an adaptive MPC controller for an autonomous steering vehicle system whose dynamics change with respect to the longitudinal velocity. After you...
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Understanding and Sketching Individual Bode Plot Components
148 min
Beginner
Video
Theory
In this video we illustrate how 7 types of simple transfer functions contribute to a bode plot. We refer to these as ‘components’ and will cover the followi...
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TikZ source Code: Feedback passivity index
Beginner
Source Code
Application
TikZ source Code: Feedback passivity index
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Dynamic Mode Decomposition (Code)
8 min
Intermediate
Video
Application
In this video, we code up the dynamic mode decomposition (DMD) in Matlab and use it to analyze the fluid flow past a circular cylinder at low Reynolds number.
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Simple Examples of PID Control
13 min
Beginner
Video
Theory
In this video I continue the topic of PID control. We walk through a simple control system and visualize how each of the three paths, P, I, and D, all address specific problems that arise...
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Derivation of the 2D Wave Equation
27 min
Beginner
Video
Theory
In this video we derive the 2D wave equation. This partial differential equation governs the motion of waves in a plane and is applicable for thin vibrating...
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TikZ source Code: Lyapunov Lure
Beginner
Source Code
Application
TikZ source Code: Lyapunov Lure
See More![Denoising Data with FFT [Matlab]](/sites/default/files/styles/search_resulkts/public/2020-12/maxresdefault_358.jpg?itok=BSMOuW9N "Denoising Data with FFT [Matlab]")
Denoising Data with FFT [Matlab]
10 min
Beginner
Video
Application
This video describes how to clean data with the Fast Fourier Transform (FFT) in Matlab.
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Frequency domain – tutorial 8: frequency spectra
9 min
Beginner
Video
Theory
In this video, we learn about frequency spectra which can be divided into two parts: phase and magnitude spectrum. Some examples will be provided to practice...
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The Fast Fourier Transform Algorithm
10 min
Beginner
Video
Theory
Here I discuss the Fast Fourier Transform (FFT) algorithm, one of the most important algorithms of all time.
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