Data-Driven Control: Balanced Models with ERA

In this lecture, we connect the eigensystem realization algorithm (ERA) to balanced proper orthogonal decomposition (BPOD). In particular, if enough data is collected, then ERA produces...

See More

SVD Method of Snapshots

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

See More

Simulating the Logistic Map in Matlab

This video shows how simple it is to simulate discrete-time dynamical systems, such as the Logistic Map, in Matlab.

See More

Linearizing a Simulink Model Using the Linear Analysis Tool and ‘linmod’

In this video we show how to linearize a non-linear Simulink model using numerical techniques. This approach is extremely powerful as it allows automatic ge...

See More

Data-Driven Control: Observer Kalman Filter Identification

In this lecture, we introduce the observer Kalman filter identification (OKID) algorithm. OKID takes natural input--output data from a system and estimates the impulse response, for later...

See More

Unitary Transformations

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

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’, ...

See More

Peter Ponders PID, Natural Frequency vs Frequency of Acceleration

This video is intended for servo hydraulic system designers and those that program hydraulic servo systems but it does show how several of the techniques sho...

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

Linear Systems [Control Bootcamp]

Linear systems of ordinary differential equations are analyzed using eigenvalues and eigenvectors. This will be the mathematical foundation of this bootcamp on linear control theory.

See More

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...

See More

Peter Ponders PID - Observers/Estimators

Observers can provide betters estimates of state variables when there is noise and low resolution feed back. This is often necessary to compute the higher d... See More

Expressing Vectors in Different Frames Using Rotation Matrices

In this video we develop notation to express a vector in different reference/coordinate frames. We then investigate how to use rotation matrices to translate from a vector expressed in one...

See More

Final Value Theorem and Steady State Error

This Final Value Theorem is a way we can determine what value the time domain function approaches at infinity but from the S-domain transfer function. This is very helpful when we're trying...

See More

Types of Machine Learning 1

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...

See More

Euler (Gimbal Lock) Explained

In this video we explore Euler Rotations, the most common method for orienting objects in 3d. It's by-product "gimbal lock" can cause headaches for animators because the animated motion can...

See More

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...

See More

TikZ source Code: RC Lowpass

TikZ source code for an RC Lowpass filter.

See More

Coriolis Effect Demonstration (with Drones)

We demonstrate how rotating reference frames give rise to the Coriolis effect and centrifugal acceleration. In this video, we approach this as a simple physics demonstration and examine...

See More

Solving the Heat Equation with the Fourier Transform

This video describes how the Fourier Transform can be used to solve the heat equation. In fact, the Fourier transform is a change of coordinates into the eigenvector coordinates for the...

See More

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...

See More

TikZ source Code: Extremum Seeking Control Block Diagram

TikZ source Code: Extremum Seeking Control Block Diagram

See More

TikZ source Code: Lyapunov Lure

TikZ source Code: Lyapunov Lure

See More

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

Laplace Transforms to Derive Transfer Functions

Once we have a state space model, we will take a Laplace Transform to derive the transfer function to determine the response of an output relative to an inpu...

See More