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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Introduction to Ordinary Differential Equations

In this video we introduce the concept of ordinary differential equations (ODEs). We give examples of how these appear in science and engineering as well as...

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Machine Learning Control: Tuning a PID Controller with Genetic Algorithms

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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Cartesian, Polar, Cylindrical, and Spherical Coordinates

In this video we discuss Cartesian, Polar, Cylindrical, and Spherical coordinates as well as develop forward and reverse transformations to go from one coord...

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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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Neural Network Architectures

This lecture describes the wide variety of neural network architectures available to solve various problems.

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Time Domain Analysis with Matlab: Using the Linear System Analyzer

In this video we explore various Matlab functions and workflows to perform time domain analysis of a dynamic system. This includes the use of ‘tf’, ‘step’, ...

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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 Partial Differential Equations

This is the first lesson in a multi-video discussion focused on partial differential equations (PDEs).In this video we introduce PDEs and compare them with o...

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Final Value Theorem and Steady State Error

This Final Value Theorem is a way we can determine what value the time domain function approaches at infinity but from the S-domain transfer function. This is very helpful when we're trying...

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Time domain - tutorial 4: transformation examples

In this video, we solve examples to practice different signal transformations using a systematic approach. By the end of this lecture, you should be able to ...

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Laplace domain – tutorial 6: Transfer function & system properties

In this video, we learn about transfer function and system properties. The following materials are covered:1) what is a transfer function?2) relation between...

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Peter Ponders PID - LQR Optimizing Two Outputs

To make this LQR video different I use LQR to control two output and find the best 'compromise' between controlling the level and temperature in a mixing tan... See More

Lecture 16: More on Root Locus and Gain Compensation

Extra numerical problems using Root locus is discussed in this video. Then follows, Gain compensation using Root Locus See More

IMC PID Design of a Second Order Process

IMC PID Design of a Second Order Process

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Peter Ponders PID - Controlling a non-integrating single pole system. Part 3...

Part 3 uses PI control which is the only practical means of control a non-integrating single pole system.http://deltamotion.comhttp://forum.deltamotion.com

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Lecture 23: Bode plots

Discusses Bode plots and Bode plots for some common factors in a transfer function See More

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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Cayley-Hamilton Theorem [Control Bootcamp]

Here we describe the Cayley-Hamilton Theorem, which states that every square matrix satisfies its own characteristic equation. This is very useful to prove results related to...

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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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PID Control - A brief introduction

In this video, I introduce the topic of PID control. This is a short introduction design to prepare you for the next few lectures where I will go through several examples of PID control....

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Linear Systems [Control Bootcamp]

Linear systems of ordinary differential equations are analyzed using eigenvalues and eigenvectors. This will be the mathematical foundation of this bootcamp on linear control theory.

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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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Types of Machine Learning 1

This lecture gives an overview of the main categories of machine learning, including supervised, un-supervised, and semi-supervised techniques, depending on the availability of expert labels...

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Controllability of a Linear System: The Controllability Matrix and the PBH T...

In this video we explore controllability of a linear system. We discuss two methods to test for controllability, the controllability matrix as well as the P...

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