The Kalman Filter

This article introduces the Kalman filter at a high level and tries to provide some insight into how the filter is able to estimate state by combining measurements and models. 

This is an...

How a Kalman Filter Works in Pictures

This article builds up some intuition about the Kalman filter using pictures before diving into the mathematics.  A beginner will come away with an understanding of what the Kalman filter is...

An Introduction to the Kalman Filter

The purpose of this paper is to provide a practical introduction to the discrete Kalman filter. This introduction includes a description and some discussion of the basic discrete Kalman...

Radar Tutorial (English)

This page provides a detailed overview of radar principles and technologies, including mathematical, physical and technical explanations. “Radartutorial” explains the fundamentals of radar...

What's a Control System and Why Should I Care? A whirlwind tour through the ...

This paper aims to provide some introduction, a cheat sheet, and some context for college level STEM students about to take that first controls class. In some cases, it provides context...

System Identification Overview

System identification is a methodology for building mathematical models of dynamic systems using measurements of the input and output signals of the system.  This overview from Mathworks...

Introduction: PID Controller Design

In this tutorial we will introduce a simple, yet versatile, feedback compensator structure: the Proportional-Integral-Derivative (PID) controller. The PID controller is widely employed...

Improving the Beginner's PID - Introduction

In conjunction with the release of the new Arduino PID Library Brett has released this series of posts that explain his PID code. He start's with what he call's “The Beginner’s PID.”  He...

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...

3-DOF Orientation Tracking with IMUs

This document is not meant to be a comprehensive review of orientation tracking for virtual reality applications but rather an intuitive introduction to inertial measurement units (IMUs) and...

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...

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...

The Linear Quadratic Regulator

In these notes, we will derive the solution to the finite-horizon linear quadratic regulator (LQR) problem in several different ways. Fundamentally, LQR can be viewed as a large least...

Lectures on Modelling and Control of Dynamic Systems (French)

Lectures on Modelling and Control of Dynamic Systems from Patrick Lanusse of Bordeaux INP, France.

What Is Online Estimation?

This Mathworks document describes online estimation. Online estimation algorithms estimate the parameters and states of a model when new data is available during the operation of the...

Pathfinding with A*

An interactive visual explanation of the A* pathfinding algorithm.  This resource uses motivating examples from computer games. 

A Hybrid Lab Experience: Blending Hands-on Explorations with the Flexibility...

This case study examines how the Earth and Space Science and Engineering (ESSE) department at York University in Toronto offered a meaningful remote laboratory experience to over 180...

Radar Angular Resolution

This radartutorial.eu page describes angular resolution. Radar angular resolution is the minimum distance between two equally large targets at the same range which radar is able to...

Post-Pandemic: A Hybrid Lab Experience

This article discusses the importance of a hybrid laboratory model, blending physical hardware with digital twins. Example using the Quanser Interactive Lab (QLabs) platform is given.

First-Order Filters

Use data filters to temper noise - relation of options to lag and variance reduction

Mathworks Model Reference Adaptive Control Overview

This website provides an overview of the mathematics behind Model Reference Adaptive Control (MRAC). MRAC is a model-based, real-time adaptive control algorithm that computes control actions...

Directivity and Antenna Gain - radartutorial.eu

This page describes antenna directivity and gain. The directivity of an antenna is the ratio of the power density S (radiant intensity per unit area) of the real antenna in its main...

An Artificial Intelligence Primer

This blog post is a great primer providing definitions for basic terms used in AI and machine learning (ML) such as supervised learning, unsupervised learning, and transfer learning...

PID Explained

A qualitative explanation of P, I, & D actions using graphs.

DSP Related

Website with a lot of good content for any DSP scientists, researchers, and developers.