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).

See More

Understanding PID Control, Part 2: Expanding Beyond a Simple Integral

The first video in this series described a PID controller, and it showed how each of the three branches help control your system.That seemed simple enough and appeared to work. However, in...

See More

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...

See More

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...

See More

A Visual Introduction to Machine Learning

Machine Learning Explained in interactive visualizations (part 1).

See More

Peter Ponders PID - Integrated Time Absolute Error - 4 Pole example

This video shows how to calculate the coefficients for a 4 pole ITAE and how to use the 4 pole ITAE to calculate closed loop controller gains.

See More

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".

See More

Understanding Sensor Fusion and Tracking, Part 3: Fusing a GPS and IMU to Es...

This video continues our discussion on using sensor fusion for positioning and localization by showing how we can use a GPS and an IMU to estimate and object’s orientation and position. We...

See More

Understanding and Sketching the Root Locus

In this video we discuss how to sketch the root locus for a system by developing a series of 5 core rules augmented by 5 supplemental rules (for a total of 1...

See More

Peter Ponders PID - T0P1 Part 4, Misc Topics

This video covers another way to compute symbolic gains, the difference between having the P gain act on the error or just the feedback, extending bandwidt...

See More

Drone Simulation and Control, Part 3: How to Build the Flight Code

This video describes how to create quadcopter flight software from the control architecture developed in the last video. It covers how to process the raw sensor readings and use them with...

See More

TikZ source Code: Feedback passivity index

TikZ source Code: Feedback passivity index

See More

Fourier Analysis: Overview

This video presents an overview of the Fourier Transform, which is one of the most important transformations in all of mathematical physics and engineering. This series will introduce the...

See More

Control Bootcamp: Laplace Transforms and the Transfer Function

Here we show how to compute the transfer function using the Laplace transform.

See More

Transfer Functions: Introduction and Implementation

In this video we introduce transfer functions and show how they can be derived from a set of linear, ordinary differential equations. We also examine how to...

See More

TikZ source Code: Lyapunov Lure

TikZ source Code: Lyapunov Lure

See More

The Fourier Transform and Derivatives

This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations.

See More

SVD: Image Compression [Matlab]

This video describes how to use the singular value decomposition (SVD) for image compression in Matlab.

See More

Introduction to Partial Differential Equations

This is the first lesson in a multi-video discussion focused on partial differential equations (PDEs).In this video we introduce PDEs and compare them with o...

See More

Control Systems with MATLAB - Time Domain Analysis

Time domain analysis has been carried out using MATLAB in this video. Second order systems have been discussed in detail. How to obtain different time domain... 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...

See More

Time domain - tutorial 4: transformation examples

In this video, we solve examples to practice different signal transformations using a systematic approach. By the end of this lecture, you should be able to ...

See More

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).

See More

Laplace domain – tutorial 6: Transfer function & system properties

In this video, we learn about transfer function and system properties. The following materials are covered:1) what is a transfer function?2) relation between...

See More

Tuning a Fuzzy Logic Controller with Data | Fuzzy Logic, Part 4

This video covers the basics of data-driven approaches to tuning fuzzy inference systems. See what it means to find an optimal solution, which fuzzy inference parameters are being tuned...

See More