Peter Ponders PID - Feed Forward Theory and Calculations

The formulas for feed forwards are derived for motors and hydraulic actuators. See More

Discrete control #5: The bilinear transform

This is video number five on discrete control and here, we’re going to cover the famous and useful bilinear transform. The bilinear transform is yet another method for converting, or mapping...

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Control Bootcamp: Full-State Estimation

This video describes full-state estimation. An estimator dynamical system is constructed, and it is shown that the estimate converges to the true state. Further, the eigenvalues of the...

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Time Domain Analysis: Performance Metrics for a First Order System

In this video we introduce the concept of time domain analysis for dynamic systems. We examine a first order dynamic system and derive how various performan...

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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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TikZ source Code: A single MIMO system

TikZ source Code: A single MIMO system

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The Fast Fourier Transform (FFT)

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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Designing a Lead Compensator with Bode Plot

This video walks through a phase lead compensator example using the Bode Plot method.

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Derivation of the 1D Wave Equation

In this video, we derive the 1D wave equation. This partial differential equation (PDE) applies to scenarios such as the vibrations of a continuous string. ...

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Lecture 9: Time response and Time domain specifications

In this lecture, Time response is discussed in detail. Also discussed are different time domain specifications See More

Unitary Transformations

This video discusses unitary matrix transformations and how they relate to the geometry of the singular value decomposition (SVD).

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crash course on complex numbers

In this video, we quickly review “Complex Numbers”. The following materials are covered:1- Cartesian and polar representation of complex numbers2- how to con...

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Lecture 26: Stability examples, GM and PM using Nyquist Stability Criterion

This video discusses some numerical examples to show how stability can be determined using Nyquist stability criterion. Also explained is how to calculate ga... See More

Machine Learning and Cross-Validation

This lecture discusses the importance of cross-validation to assess models obtained via machine learning.

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Finding Transfer Functions from Response Graphs

Given a system response to a unit step change, in this video I'll cover how we can derive the transfer function so we can predict how our system will respond...

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Time domain - tutorial 8: LTI systems, impulse response & convolution

In this video, the following materials are covered:1) the beauty of linear & time invariant (LTI) systems2) why the impulse response of an LTI system is so i...

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Posicast Control 2 - ( In English )

This video is about the Half-Cycle Posicast. It includes some hints about how to simulate this type of control using Simulink

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PID Control with Posicast 7 - ( In English )

In this video closed-loop configurations with PID controllers and Posicast are introduced.

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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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Bode Plot Gain and Phase Margin Determination

I'll show you how we can determine the Gain and Phase Margin from a Bode Plot (at some fixed controller gain).

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Standard HW Problem #1: PID and Root Locus

A walk through of a typical homework problem using the root locus method to tune a PID controller. This is the first in what may be a series of homework style problems I'll cover. This is...

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The Taylor Series

In this video we discuss the Taylor Series (and the closely related Maclaurin Series). These are two specific types of Power Series that allow you to approx...

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Fuzzy Inference System Walkthrough | Fuzzy Logic Part 2

This video walks step-by-step through a fuzzy inference system. Learn about concepts like membership function shapes, fuzzy operators, multiple-input inference systems, and rule firing...

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Machine Learning - Andrew Ng, Stanford University

Machine learning is the science of getting computers to act without being explicitly programmed. In the past decade, machine learning has given us self-driving cars, practical speech...

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Bode Plots by Hand: Real Constants

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 simple transfer function; a real constant.

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