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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The Fourier Transform and Derivatives
10 min
Beginner
Video
Theory
This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations.
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Machine Learning Control: Genetic Algorithms
13 min
Beginner
Video
Theory
This lecture provides an overview of genetic algorithms, which can be used to tune the parameters of a control law.
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Cascade Control Intro
8 min
Beginner
Video
Theory
How can we improve the disturbance rejection of our controllers using additional, relevant measurements? Tune in to find out!
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Designing a Lead Compensator with Root Locus
13 min
Beginner
Video
Theory
This video walks through a phase lead compensator example using the Root Locus method.
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Direct Synthesis Method Numerator Dynamics Problem
10 min
Beginner
Video
Theory
I walk through how to design a PID feedback controller when given a second order process with numerator dynamics, using the Direct Synthesis Method.
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Linear Systems of Equations, Least Squares Regression, Pseudoinverse
11 min
Beginner
Video
Theory
This video describes how the SVD can be used to solve linear systems of equations. In particular, it is possible to solve nonsquare systems (overdetermined or underdetermined) via least...
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Neural Network Architectures
9 min
Beginner
Video
Theory
This lecture describes the wide variety of neural network architectures available to solve various problems.
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RL Course by David Silver - Lecture 5: Model Free Control
96 min
Intermediate
Video
Theory
Dives into On Policy Monte-Carlo Control and Temporal Difference Learning, as well as Off-Policy Learning.
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Predicting Second Order Transfer Function Behavior
4 min
Beginner
Video
Theory
Given a second order transfer function, I'll cover how we can predict the system behavior and derive the appropriate time constants and damping coefficient.
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Posicast Control 5 - (In English)
7 min
Beginner
Video
Theory
In this video Posicast in closed-loop is illustrated using a gantry-crane system simulations.
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Understanding PID Control, Part 3: Expanding Beyond a Simple Derivative
11 min
Beginner
Video
Theory
This video describes how to make an ideal PID controller more robust when controlling real systems that don’t behave like ideal linear models. Noise is generated by sensors and is present in...
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Constraint Enforcement for Improved Safety | Learning-Based Control
14 min
Beginner
Video
Theory
Learn about the constraints of your system. Then see a how to enforce those constraints so the system does not violate them. Constraint enforcement is important for safety-critical...
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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 Solving Partial Differential Equations
101 min
Beginner
Video
Theory
In this video we show how to numerically solve partial differential equations by numerically approximating partial derivatives using the finite difference me...
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Stability of Closed Loop Control Systems
11 min
Beginner
Video
Theory
This video explains why we need design tools like the Routh-Hurwitz Criterion, Bode Plots, Nyquist Plots, and Root Locus. This is an introduction into the difficulties of determining the...
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Understanding The Sensitivity Function
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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Resonant Frequency of a Dynamic System
29 min
Beginner
Video
Theory
In this video we discuss the resonant frequency of a dynamic system. We show how the resonant frequency, natural frequency, and damped natural frequency are...
See More![Reachability and Controllability with Cayley-Hamilton [Control Bootcamp]](/sites/default/files/styles/search_resulkts/public/2020-12/maxresdefault_306.jpg?itok=SzmzyZ6Z)
Reachability and Controllability with Cayley-Hamilton [Control Bootcamp]
10 min
Beginner
Video
Theory
Here we use the Cayley-Hamilton Theorem to show that the full state space is reachable if and only if the system is controllable.
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Numerically Linearizing a Dynamic System
104 min
Intermediate
Video
Theory
In this video we show how to linearize a dynamic system using numerical techniques. In other words, the linearization process does not require an analytical description of the system. This...
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Solving the 1D Heat Equation
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: ERA and the Discrete-Time Impulse Response
5 min
Intermediate
Video
Theory
In this lecture, we describe how the discrete-time impulse response is used in the eigensystem realization algorithm (ERA).
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Peter Ponders PID - Controlling an Under Damp Mass and Spring System
24 min
Beginner
Video
Theory
Demonstrates:How to calculate the PID gains. The importance of the derivative gain. How to simulate the mass and spring systemControl limitations based on s...
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Time domain - tutorial 11: system properties from impulse response
13 min
Beginner
Video
Theory
In this video, we learn how to find system properties from the impulse response. Specifically, memoryless, causal, stable and invertible systems will be ful...
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Drone Simulation and Control, Part 2: How Do You Get a Drone to Hover?
13 min
Beginner
Video
Theory
In the last video, we showed we can manipulate the four motors of a quadcopter to maneuver it in 3D space by getting it to roll, pitch, yaw, and change its thrust. We also covered the four...
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