Working with Synthetic Data | Deep Learning for Engineers, Part 2
18 min
Beginner
Video
Theory
This video covers the first step in deep learning: having access to data. Part of making the decision of whether deep learning is right for your project comes down to the type and amount of...
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TikZ source Code: RC Lowpass
Beginner
Source Code
Application
TikZ source code for an RC Lowpass filter.
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Koopman Spectral Analysis (Multiscale systems)
5 min
Intermediate
Video
Theory
In this video, we discuss recent applications of data-driven Koopman theory to multi-scale systems.
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Smart Projectile State Estimation Using Evidence Theory
Intermediate
Peer Reviewed Paper
Theory
This journal article provides a very good practical understanding of Dempster-Shafer theory using sensor fusion and state estimation as the backdrop.
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Root Locus Plot: Common Questions and Answers
17 min
Beginner
Video
Theory
In this video I go through some of the common questions I've received on my other root locus videos. 1) Why do we call the poles of a system the roots?2) How do I plot the damping ratio...
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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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TikZ source Code: Extremum Seeking Control Block Diagram
Beginner
Source Code
Application
TikZ source Code: Extremum Seeking Control Block Diagram
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Linear Systems of Equations
10 min
Beginner
Video
Theory
This video describes linear systems of equations and when they have solutions.
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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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Data-Driven Control: Balanced Truncation
14 min
Intermediate
Video
Theory
In this lecture, we describe the balanced truncation procedure for model reduction, where a handful of the most controllable and observable state directions are kept for the reduced-order...
See More![SVD: Eigenfaces 1 [Python]](/sites/default/files/styles/search_resulkts/public/2020-12/maxresdefault_413.jpg?itok=Ieh39q9N)
SVD: Eigenfaces 1 [Python]
4 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" (Python code, part 1).
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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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Data-Driven Control: The Goal of Balanced Model Reduction
15 min
Intermediate
Video
Theory
In this lecture, we discuss the overarching goal of balanced model reduction: Identifying key states that are most jointly controllable and observable, to capture the most input—output...
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Control Bootcamp: Linear Quadratic Gaussian (LQG)
8 min
Beginner
Video
Theory
This lecture combines the optimal full-state feedback (e.g., LQR) with the optimal full-state estimator (e.g., LQE or Kalman Filter) to obtain the sensor-based linear quadratic Gaussian (LQG...
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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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Drone Simulation and Control, Part 5: Tuning the PID controller
14 min
Beginner
Video
Theory
In the last video, we learned how accurate, nonlinear models are great for simulation but they don’t lend themselves well to linear analysis and design. This video takes the nonlinear model...
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The Navigation Equations: Computing Position North, East, and Down
52 min
Intermediate
Video
Theory
In this video we show how to compute the inertial velocity of a rigid body in the vehicle-carried North, East, Down (NED) frame. This is achieved by rotating the velocity expressed in the...
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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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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...
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Computing the DFT Matrix
7 min
Beginner
Video
Theory
This video discusses how to compute the Discrete Fourier Transform (DFT) matrix in Matlab and Python. In practice, the DFT should usually be computed using the fast Fourier transform (FFT)...
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Making an INSANE Hovering RC F-35 VTOL
21 min
Beginner
Video
Application
I built this insane radio controlled VTOL F-35 parkjet that can takeoff and land vertically using conventional miniquad/drone parts. The best part is the plans and code are all free, and I’m...
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Robust Principal Component Analysis (RPCA)
22 min
Intermediate
Video
Theory
Robust statistics is essential for handling data with corruption or missing entries. This robust variant of principal component analysis (PCA) is now a workhorse algorithm in several fields...
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Frequency domain – tutorial 11: equalization
11 min
Beginner
Video
Theory
In this video, we learn about equalization technique which is used in communication systems to compensate for the destructive effect of the channel between t...
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The Fast Fourier Transform (FFT)
8 min
Beginner
Video
Application
Here I introduce the Fast Fourier Transform (FFT), which is how we compute the Fourier Transform on a computer. The FFT is one of the most important algorithms of all time.
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