Intro to Process Control

I discuss the motivation and introduce the logic behind controllers that engineers design to respond to errors in outputs (deviations from set points). P and...

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TikZ source Code: Dashed box

TikZ source Code: Dashed box

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Frequency domain – tutorial 4: Gibbs phenomenon

In this video, we quickly review the Gibbs phenomenon which involves two facts:1) Fourier sums overshoot at a jump discontinuity2) overshoot does not disapp...

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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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Control Systems in Practice, Part 6: What Are Non-Minimum Phase Systems?

We like to categorize transfer functions into groups and label them because it helps us understand how a particular system will behave simply by knowing the group that it’s part of. We gain...

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Routh Array and Stability

I show how we can find the range of allowed controller gains for a system that will allow us to maintain stability using a Routh Array.

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TikZ source Code: Switching Manifold

TikZ source Code: Switching Manifold

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Designing a Lag Compensator with Bode Plot

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

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Nonhomogeneous Linear Ordinary Differential Equations

In the previous video (https://youtu.be/3Kox-3APznI) we examined solving homogeneous linear ordinary differential equations (the forcing function was equal t...

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Drawing the root locus (Interactive Tool)

This page was developed to help student learn how to sketch the root locus by hand. You can enter a numerator and denominator for G(s)H(s) (i.e., the loop gain) and the program will guide...

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SVD: Importance of Alignment [Python]

This video describes the importance of aligning data when using the singular value decomposition (SVD) (Python code).

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Numerically Solving Partial Differential Equations

In this video we show how to numerically solve partial differential equations by numerically approximating partial derivatives using the finite difference me...

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An interactive feedforward tool for FeedForward Control

This interactive software tool is focused on basic and advanced concepts of feedforward control.

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Digital Twin Parameter Tuning

Learn how to tune the digital twin model of a pump system to its physical asset using Simulink Design Optimization™. You can use measured data collected from the physical system to tune the...

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Understanding The Sensitivity Function

In this video I explain the sensitivity function and try to demystify the equation used to solve for the nominal sensitivity peak. Sensitivity describes how much process variations affect...

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Using ‘rlocus’ in Matlab to Plot the Root Locus

This tutorial illustrates how to use the ‘rlocus’ command in Matlab to quickly and easily sketch the root locus.Discussion on the 3 example transfer function...

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Resonant Frequency of a Dynamic System

In this video we discuss the resonant frequency of a dynamic system. We show how the resonant frequency, natural frequency, and damped natural frequency are...

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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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Solving the 1D Heat Equation

In this video we simplify the general heat equation to look at only a single spatial variable, thereby obtaining the 1D heat equation. We solving the result...

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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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Peter Ponders PID. Second Order Plus Dead Time , SOPDT, Temperature Control,...

In this video I derive the equations for the controller gains and a low pass filter for a SOPDT system with a very long dead time To make the simulation mo...

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Time domain - tutorial 11: system properties from impulse response

In this video, we learn how to find system properties from the impulse response. Specifically, memoryless, causal, stable and invertible systems will be ful...

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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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Peter Ponders PID - Tank Level Control

How to control the level in tank 2 that is being feed by tank 1 that is also feed by a pump. The video shows how to compensate for non-linearities using dif... See More

Control Bootcamp: Loop shaping

This video explores shaping the loop transfer function to have desirable sensitivity and complementary sensitivity.

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