Understanding Kalman Filters, Part 4: An Optimal State Estimator Algorithm

Discover the set of equations you need to implement a Kalman filter algorithm. You’ll learn how to perform the prediction and update steps of the Kalman filter algorithm, and you’ll see how...

Modeling Physical Systems, An Overview

This video sets the stage for the topics that I want to cover over the next month or two. This is an overview of how you go from a physical system to a linear model where you can design a...

Understanding Kalman Filters, Part 3: An Optimal State Estimator

Watch this video for an explanation of how Kalman filters work. Kalman filters combine two sources of information, the predicted states and noisy measurements, to produce optimal, unbiased...

Adaptive Control Basics: What Is Model Reference Adaptive Control?

Use an adaptive control method called model reference adaptive control (MRAC). This controller can adapt in real time to variations and uncertainty in the system that is being controlled...

Reinforcement Learning for Engineers, Part 3: Policies and Learning Algorith...

This video provides an introduction to the algorithms that reside within the agent. We’ll cover why we use neural networks to represent functions and why you may have to set up two neural...

DC Motor Speed: System Modeling

This examples walks through modeling a simple DC motor in MATLAB.

Understanding the Z-Transform

This intuitive introduction shows the mathematics behind the Z-transform and compares it to its similar cousin, the discrete-time Fourier transform. Mathematically, the Z-transform is...

EGGN 510 - Lecture 02-1 Digital Image Fundamentals

This is a video lecture of EGGN 510 Image and Multidimensional Signal Processing by William Hoff.

Artificial Intelligence

This lecture discusses artificial intelligence (AI) in the context of data science and machine learning.

What's a Control System and Why Should I Care?

This paper is designed as a primer for college level STEM students about to take their first formal class in feedback control systems. This means that the explanations assume the reader has...

Discrete control #4: Discretize with the matched method

This is the fourth video on discrete control and in this video we are going to continue exploring the different techniques we can use to discretize a continuous system and talk about the...

Control Systems in Practice, Part 4: Why Time Delay Matters

Time delays exist in two varieties: signal distorting delays, like phase lag, in which each frequency is delayed by a different amount of time, resulting in a distorted signal shape; and non...

Systems Engineering, Part 1: What Is Systems Engineering?

This video covers what systems engineering is and why it’s useful. We will present a broad overview of how systems engineering helps us develop complex projects that meet the program...

How Simulations Work

This article sets out the critical aspects of building good simulations — that is, simulations that are accurate, easy to develop and analyze, and fast. The first sections deal with how a...

Trimming and Linearization, Part 2: The Practical Side of Linearization

With a general understanding of linearization, you might run into a few snags when trying to linearize realistic nonlinear models. These snags can be avoided if you have a more practical...

How Kalman Filters Work, Part 1

This article looks at four popular estimation filter architectures: particle filter, sigma point filter, extended Kalman filter, and the Kalman filter. It discusses how all four of these...

Nyquist Stability Criterion, Part 2

An explanation of the Nyquist Stability Criterion part 2. This video steps through the how to sketch a Nyquist plot by hand, what to do if there are open loop pools on the imaginary axis...

Discrete control #3: Designing for the zero-order hold

This is the third video on discrete control and in this video, I want to clear up a confusion that I caused last time regarding using the ZOH method to discretize a continuous controller and...

Systems modeling and representations (French)

Complete course on systems modeling. Includes examples, MATLAB code, and quizzes.

Trimming and Linearization, Part 1: What is Linearization?

Why go through the trouble of linearizing a model? To paraphrase Richard Feynman, it’s because we know how to solve linear systems. With a linear model we can more easily design a controller...

Understanding Kalman Filters, Part 5: Nonlinear State Estimators

This video explains the basic concepts behind nonlinear state estimators, including extended Kalman filters, unscented Kalman filters, and particle filters.

A Kalman filter is only defined...

Nyquist Stability Criterion, Part 1

An explanation of the Nyquist Stability Criterion. This video steps through the importance of the criterion, how to interpret the Nyquist plot graphically, and why it is the way it is....

What Is Extremum Seeking Control? | Learning-Based Control

Get an introduction to extremum seeking control—an adaptive control method for finding an optimal control input or set of system parameters without needing a model of your system, static...

Discrete control #2: Discretize! Going from continuous to discrete domain

This is the second video in the discrete control series. It focuses on discretizing a continuous system - getting to the z-domain from the s-domain.

Learning From Data

This is an introductory course in machine learning (ML) that covers the basic theory, algorithms, and applications. ML is a key technology in Big Data, and in many financial, medical...