Control Bootcamp: Benefits of Feedback on Cruise Control Example

Here we investigate the benefits of feedback for systems with uncertain dynamics and disturbances, as illustrated on a cruise control example.

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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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A Visual Introduction to Machine Learning

Machine Learning Explained in interactive visualizations (part 1).

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TikZ source Code: Dashed box

TikZ source Code: Dashed box

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Fourier Series: Part 2

This video will show how to approximate a function with a Fourier series, which is an infinite sum of sines and cosines. We will discuss how these sines and cosines form a basis for the...

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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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TikZ source Code: Switching Manifold

TikZ source Code: Switching Manifold

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Understanding Sensor Fusion and Tracking, Part 2: Fusing a Mag, Accel, and G...

This video describes how we can use a magnetometer, accelerometer, and a gyro to estimate an object’s orientation. The goal is to show how these sensors contribute to the solution, and to...

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Lecture 11: Transient Response and Numerical Problems

A review of time response of 2nd order underdamped systems is done. The effect of moving closed loop poles in different directions in the s-plane are also di... See More

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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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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Lecture 22: Frequency domain specifications for Second order system

In this session, frequency domain specifications for a prototype second order system has been derived. See More

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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Lecture 6: Signal Flow Graphs and Mason's Gain Rule

In this lesson, we discuss Signal Flow Graphs and Mason's Gain Rule for finding transfer funtions See More

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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Derivation of the Heat Equation

In this video, we derive the heat equation. This partial differential equation (PDE) applies to scenarios such as the transfer of heat in a uniform, homogen...

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SVD Method of Snapshots

This video describes how to compute the singular value decomposition (SVD) using the method of snapshots, by Sirovich 1987.

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Frequency domain – tutorial 2: Fourier series

In this video, we learn Fourier series which enables us to travel from time to the frequency domain when a signal is periodic. The following materials are co...

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Dynamic Behavior and Input Types in Process Control

An introduction to the four types of dynamic behavior and five types of inputs (step, ramp, pulse, impulse, and sinusoidal), and why transfer functions are u...

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Time domain - tutorial 1: what is signal processing?

In this video, we review the concept of signal processing and why it is useful to learn it. Learn Signal Processing 101 in 31 lectures covering time, frequen...

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Types of Machine Learning 2

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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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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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: Observability Example in Matlab (Part 2)

This video continues to explore observability in Matlab on the example system of an inverted pendulum on a cart. We look at the observability Gramian.

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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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