Laplace Transforms to Derive Transfer Functions

Once we have a state space model, we will take a Laplace Transform to derive the transfer function to determine the response of an output relative to an inpu...

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Understanding Model Predictive Control, Part 6: How to Design an MPC Control...

Learn how to design an MPC controller for an autonomous vehicle steering system using Model Predictive Control Toolbox™. This video walks you through the design process of an MPC controller...

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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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Direct Synthesis for PID Controller Design

What tuning parameters should you choose for your controller? The Direct Synthesis Model is one method control engineers use today to evaluate controller par...

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State Space Representation of Differential Equations

In this video we show how to represent differential equations (either linear or non-linear) in state space form. This is useful as it allows us to combine an...

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Humans, Robots, and Non-Prehensile Manipulation

This is a fun video that was inspired by a presentation I saw at the 2015 International Conference on Robotics and Automation (ICRA). I wanted to see if humans could duplicate the...

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Controllability and the PBH Test [Control Bootcamp]

This video describes the PBH test for controllability and describes some of the implications for good choices of "B".

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Gaussian/Normal Distributions

In this video we discuss the Gaussian (AKA Normal) probability distribution function. We show how it relates to the error function (erf) and discuss how to ...

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Control Bootcamp: Sensitivity and Complementary Sensitivity (Part 2)

Here we explore the sensitivity and complementary sensitivity functions, which are critical in understanding robustness and performance. (Part 2)

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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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Introduction to the Fourier Transform (Part 2)

This video is the second part of the introduction to the Fourier Transform. I address an error that I made in the first video concerning the scaling term of the transform. I also try to...

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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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Designing a Lead Compensator with Root Locus

This video walks through a phase lead compensator example using the Root Locus method.

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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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Peter Ponders PID - Feed Forward Theory and Calculations

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

Control Systems Lectures - LTI Systems

This lecture describes what it means when we say a system is linear and time invariant. I also try to give an example as to why these systems are so important when designing control systems...

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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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Feedback Control and Block Diagram Introduction

How do engineers begin to design controllers to respond to disturbances and maintain set points? In this example, I'll discuss how we can design a controller...

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Machine Learning Overview

This lecture provides an overview of machine learning, and how it fits into this introductory video sequence on data science. We discuss how machine learning involves "modeling with data".

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Internal Model Control IMC Introduction

Internal Model Control IMC Introduction

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Neural Networks: Caveats

This lecture discusses some key limitations of neural networks and suggests avenues of ongoing development.

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First Order Dynamics in Process Control

An overview on the identification and behavior of first order dynamics in process control.

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Bode Plots by Hand: Poles and Zeros at the Origin

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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Numerically Linearizing a Dynamic System

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...

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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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