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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Understanding Sensor Fusion and Tracking, Part 4: Tracking a Single Object W...

This video describes how we can improve tracking a single object by estimating state with an interacting multiple model filter. We will build up some intuition about the IMM filter and show...

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Derivation and Solution of Laplace’s Equation

In this video we show how the heat equation can be simplified to obtain Laplace’s equation. We investigate how to solve Laplace’s equation using separation ...

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Frequency domain – tutorial 1: concept of frequency (with Chinese subtitle)

In this video, the following materials are covered:1) intuitive explanation on the frequency concept 2) what is the relation between time and frequency domai...

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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...

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Frequency domain – tutorial 5: Fourier transform

In this video, we learn about Fourier transform which enables us to travel from time to frequency domain when a signal is not periodic. The learning objectiv...

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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

Kalman Filter Tutorial

The Kalman Filter is an easy topic. However, many tutorials are not easy to understand. Most require extensive mathematical background which makes them difficult to understand. Also, most...

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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

Lecture 26: Stability examples, GM and PM using Nyquist Stability Criterion

This video discusses some numerical examples to show how stability can be determined using Nyquist stability criterion. Also explained is how to calculate ga... See More

Internal Model Control IMC Introduction

Internal Model Control IMC Introduction

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Lecture 14: Routh Hurwitz Criterion

Special cases in Routh Hurwitz criterion i.e (1) a row with only first entry being zero and (2) A row with all entries zero are considered. The video of a pr... See More

First Order Dynamics in Process Control

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

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Unitary Transformations

This video discusses unitary matrix transformations and how they relate to the geometry of the singular value decomposition (SVD).

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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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Machine Learning and Cross-Validation

This lecture discusses the importance of cross-validation to assess models obtained via machine learning.

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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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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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The Root Locus Method - Introduction

This Root Locus method is a fantastic way of visualizing how the poles of a system move through the S-plane when a single system parameter is varied from 0 to infinity. I show how to...

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Understanding Model Predictive Control, Part 3: MPC Design Parameters

To successfully control a system using an MPC controller, you need to carefully select its design parameters. This video provides recommendations for choosing the controller sample time...

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DC Gain

In this video we discuss the DC gain of a dynamic system.Topics and time stamps:(0:12) – Introduction to DC gain(7:04) – Derivation of DC gain(11:49) – Relat...

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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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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...

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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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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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