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Linear Algebra Review
Intermediate
Course
Theory
This short course is a quick review of linear algebra, intended for students who have already taken a previous course in linear algebra or have some experience with vectors and matrices. The...
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Z-Transform - Practical Applications
26 min
Intermediate
Video
Application
Covering practical applications of the Z-transform used in digital signal processing, for example, stability analysis and frequency response of discrete-time systems. Theory, C code, and...
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Control Systems in Practice, Part 9: The Step Response
15 min
Beginner
Video
Theory
This video covers a few interesting things about the step response. We’ll look at what a step response is and some of the ways it can be used to specify design requirements for closed loop...
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Modeling Physical Systems, An Overview
7 min
Beginner
Video
Theory
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...
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What Are Dynamic Models? Chapter 1 from Dynamic Models in Biology
Beginner
Book
Theory
Throughout this book we use a wide-ranging set of case studies to illustrate different aspects of models and modeling. In this introductory chapter we describe and give examples of different...
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Model Predictive Control
12 min
Beginner
Video
Theory
This lecture provides an overview of model predictive control (MPC), which is one of the most powerful and general control frameworks. MPC is used extensively in industrial control settings...
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Understanding Kalman Filters, Part 4: An Optimal State Estimator Algorithm
9 min
Beginner
Video
Theory
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...
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The AVA Flight Computer
18 min
Beginner
Video
Application
This video describes the board design, hardware architecture, and software components of the All Vehicle Avionics (AVA) flight computer that was designed by Joe Barnard of BPS Space. This...
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Understanding PID Control, Part 6: Manual and Automatic Tuning Methods
13 min
Beginner
Video
Theory
The previous video showed three different approaches to developing a mathematical model of your physical system. Now that we have this model, we can use it to tune a PID controller that will...
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Introduction: PID Controller Design
30 min
Beginner
Article / Blog
Application
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...
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Autonomous Navigation, Part 4: Path Planning with A* and RRT
18 min
Beginner
Video
Theory
This video explores some of the ways that we can use a map like a binary occupancy grid for motion and path planning. We briefly cover what motion planning means and how we can use a graph...
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System Identification Overview
Beginner
Article / Blog
Theory
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...
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What's a Control System and Why Should I Care? A whirlwind tour through the ...
60 min
Beginner
Article / Blog
Theory
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...
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Reinforcement Learning for Engineers, Part 3: Policies and Learning Algorith...
17 min
Beginner
Video
Theory
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...
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System Identification Methods
17 min
Beginner
Video
Theory
System Identification is the process of determining the model or the equations of motion for your system. This is incredibly important because basing a control system design off of a bad...
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Understanding Kalman Filters, Part 3: An Optimal State Estimator
7 min
Beginner
Video
Theory
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...
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The Radar Equation | Understanding Radar Principles
Beginner
Video
Theory
Learn how the radar equation combines several of the main parameters of a radar system in a way that gives you a general understanding of how the system will perform. The radar equation is a...
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Machine Learning Control: Tuning a PID Controller with Genetic Algorithms (P...
9 min
Beginner
Video
Theory
This lecture shows how to use genetic algorithms to tune the parameters of a PID controller. Tuning a PID controller with genetic algorithms is not generally recommended, but is used to...
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Adaptive Control Basics: What Is Model Reference Adaptive Control?
17 min
Beginner
Video
Theory
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...
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DC Motor Speed: System Modeling
Beginner
Project
Theory
This examples walks through modeling a simple DC motor in MATLAB.
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Discrete Fourier Transform
Intermediate
Article / Blog
Theory
The discrete Fourier transform, or DFT, is the primary tool of digital signal processing. The foundation of the product is the fast Fourier transform (FFT), a method for computing the DFT...
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Reinforcement Learning for Engineers, Part 2: Understanding the Environment ...
13 min
Beginner
Video
Theory
In this video, we build on our basic understanding of reinforcement learning by exploring the workflow. We cover what an environment is and some of the benefits of training within a...
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Artificial Intelligence
6 min
Beginner
Video
Theory
This lecture discusses artificial intelligence (AI) in the context of data science and machine learning.
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Simulating Test Signals for a Radar Receiver
Intermediate
Example
Application
This example shows how to simulate received signal of a monostatic pulse radar to estimate the target range. A monostatic radar has the transmitter collocated with the receiver. The...
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Discrete control #2: Discretize! Going from continuous to discrete domain
24 min
Beginner
Video
Theory
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.
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