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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Stability of Closed Loop Control Systems

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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Euler Angles and the Euler Rotation Sequence

In this video we discuss how Euler angles are used to define the relative orientation of one coordinate frame to another.Topics and Timestamps:0:00 – Introd...

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Reachability and Controllability with Cayley-Hamilton [Control Bootcamp]

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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Control Bootcamp: Observability

This video explores the observability of a linear system, namely the ability to estimate the full state "x(t)" from a time-history of limited output measurements "y(t)".

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Understanding and Sketching Individual Bode Plot Components

In this video we illustrate how 7 types of simple transfer functions contribute to a bode plot. We refer to these as ‘components’ and will cover the followi...

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Final Value Theorem

In this video we discuss the Final Value Theorem. Given a signal in the Laplace domain, this allows us to predict the steady state value of the signal in th...

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Heat Transfer Demonstration

In this video we demonstrate heat transfer through a metal bar. By heating one side of the bar we can impose a non-uniform temperature distribution across t...

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MIT 6.S191: Introduction to Deep Learning

MIT's introductory course on deep learning methods with applications to computer vision, natural language processing, biology, and more! Students will gain foundational knowledge of deep...

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The Fourier Transform

This video will discuss the Fourier Transform, which is one of the most important coordinate transformations in all of science and engineering.

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Time domain - tutorial 5: signal properties

In this video, we learn about some special signals which are symmetric around the y-axis (even) or around the origin (odd) . Then we talk about periodic sign...

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Lecture 29: State space representation

This video explains how a system can be modelled in state space form. Also shown is how to obtain transfer function from State space form See More

Frequency domain – tutorial 10: modulation

In this video, we learn about modulation technique which is commonly used in communication systems to send information from transmitter to receiver. The foll...

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Peter Ponders PID - Lead/lag closed loop control

Motor position control using a lead lag filter for closing the loop. The result is a motion that doesn't overshoot but has a little bit more lag than a PID.... See More

Tutorial on Root Locus

Few numerical problems using Root locus has been explained in this video See More

Routh Stability Criterion Intro and Example

I introduce and walk through an example problem of how we can use the Routh Stability Criterion to rigorously determine the necessary and sufficient conditio...

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The Laplace Transform - A Graphical Approach

A lot of books cover how to perform a Laplace Transform to solve differential equations. This video tries to show graphically what the Laplace Transform is doing and why figuring out the...

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IMC Design of an Unstable Process Example

In this video, I cover how we can use IMC method to rigorously design a controller for an inherently unstable process (has a positive pole).

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Linear Quadratic Regulator (LQR) Control for the Inverted Pendulum on a Cart...

Here we design an optimal full-state feedback controller for the inverted pendulum on a cart example using the linear quadratic regulator (LQR). In Matlab, we find that this is a simple one...

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Relative Gain Array RGA and Input Output Pairing

The RGA is a tool used by process engineers to determine how to pair inputs and outputs during controller design to strive for better performance and robustn...

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Machine Learning Control: Genetic Programming Control

This lecture discusses the use of genetic programming to manipulate turbulent fluid dynamics in experimental flow control.

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Homogeneous Linear Ordinary Differential Equations

In this video we discuss how to solve homogeneous linear ordinary differential equations (ODEs). The approach outlined in this lecture is applicable to high...

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Control Bootcamp: Example Frequency Response (Bode Plot) for Spring-Mass-Da...

This video shows how to compute and interpret the Bode plot for a simple spring-mass-damper system.

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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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The Inverse Laplace Transform

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

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