Linear Systems of Equations

This video describes linear systems of equations and when they have solutions.

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Understanding Model Predictive Control, Part 2: What is MPC?

Learn how model predictive control (MPC) works. Using a simple car example, this video provides insight into an MPC controller’s strategy for finding the optimal steering wheel angle to...

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Second Order Dynamics

A crash course overview on second order dynamics in the frequency domain, what the key parameters are, and why they matter.

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Least Squares Regression and the SVD

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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dRehmFlight VTOL - Teensy (Arduino) Flight Controller and Stabilization

dRehmFlight VTOL is a new flight controller and stabilization package intended to be used for small to medium sized hobby or research projects. dRehmFlight is the code, and the physical...

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Posicast Control 5 - (In English)

In this video Posicast in closed-loop is illustrated using a gantry-crane system simulations.

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Principal Component Analysis (PCA)

Principal component analysis (PCA) is a workhorse algorithm in statistics, where dominant correlation patterns are extracted from high-dimensional data.

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Trimming a Model of a Dynamic System Using Numerical Optimization

In this video we show how to find a trim point of a dynamic system using numerical optimization techniques. We generate a cost function that corresponds to ...

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Making an INSANE Hovering RC F-35 VTOL

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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Root Locus Plot: Common Questions and Answers

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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The Laplace Transform

In this video we show how to perform the Laplace transform on a signal in the time domain to obtain its equivalent representation in the Laplace domain. Top...

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Bode Plots by Hand: Complex Poles or Zeros

This is a continuation of the Control Systems Lectures. This video describes the benefit of being able to approximate a Bode plot by hand and explains what a Bode plot looks like for a...

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Gain and Phase Margins Explained!

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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Introduction to Bode Plots

In this video we introduce the concept of Bode plots including what they represent, how they are generated, as well as how to use Matlab tools to work with B...

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Peter Ponders PID, Natural Frequency vs Frequency of Acceleration

This video is intended for servo hydraulic system designers and those that program hydraulic servo systems but it does show how several of the techniques sho...

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Derivation and Solution of Laplace’s Equation

In this video we show how the heat equation can be simplified to obtain Laplace’s equation. We investigate how to solve Laplace’s equation using separation ...

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Peter Ponders PID - Observers/Estimators

Observers can provide betters estimates of state variables when there is noise and low resolution feed back. This is often necessary to compute the higher d... See More

Drone Simulation and Control, Part 2: How Do You Get a Drone to Hover?

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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Frequency domain – tutorial 1: concept of frequency (with Chinese subtitle)

In this video, the following materials are covered:1) intuitive explanation on the frequency concept 2) what is the relation between time and frequency domai...

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TikZ source Code: Cascade of several subsystems

TikZ source Code: Cascade of several subsystems.

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Denoising Data with FFT [Python]

This video describes how to clean data with the Fast Fourier Transform (FFT) in Python.

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TikZ source Code: Feedback system

TikZ source Code: Feedback system

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The Fourier Transform and Convolution Integrals

This video describes how the Fourier Transform maps the convolution integral of two functions to the product of their respective Fourier Transforms.

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Time domain - tutorial 10: interconnection of LTI systems

In this video, we learn how to connect LTI systems to make a bigger system. The learning objectives are to:1) get familiar with parallel and series intercon...

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Control Bootcamp: Loop Shaping Example for Cruise Control

This video demonstrates loop shaping on the cruise control model.

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