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...

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...

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...

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...

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...

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...

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...

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.

The Radar Range Equation - radartutorial.eu

This article describes the radar range equation. The radar range equation represents the physical dependences of the transmit power, which is the wave propagation up to the receiving of the...

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...

First-Order Filters

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

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...

Radar Systems Engineering Lecture 4: The Radar Equation

This Free Radar Systems Engineering Course (video, audio and screen captured ppt slides) and separate pdf slides) has been developed as a first course in Radar Systems for first year...

DSP Related

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

Matlab: The Radar Equation

This Mathworks page explains the parameters of the radar range equation. The point target radar range equation estimates the power at the input to the receiver for a target of a given radar...

PID Explained

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

READ FIRST: How to learn PLC's and get into the Industrial Automation World ...

r/PLC is dedicated to discussion and questions about Programmable Logic Controllers (PLCs): "an industrial digital computer that has been ruggedized and adapted for the control of...

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...

Nyquist Stability Criterion

The Wikipedia article on Nyquist Stability Criterion.  This covers the Nyquist plot, the Cauchy argument principle, and the stability criterion itself.  A mathematical derivation is also...