Control Bootcamp: Sensitivity and Complementary Sensitivity
11 min
Beginner
Video
Theory
Here we explore the sensitivity and complementary sensitivity functions, which are critical in understanding robustness and performance.
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Computing the DFT Matrix
7 min
Beginner
Video
Theory
This video discusses how to compute the Discrete Fourier Transform (DFT) matrix in Matlab and Python. In practice, the DFT should usually be computed using the fast Fourier transform (FFT)...
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Trimming a Model of a Dynamic System Using Numerical Optimization
60 min
Beginner
Video
Theory
In this video we show how to find a trim point of a dynamic system using numerical optimization techniques. We generate a cost function that corresponds to ...
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Controllability of a Linear System: The Controllability Matrix and the PBH T...
97 min
Beginner
Video
Theory
In this video we explore controllability of a linear system. We discuss two methods to test for controllability, the controllability matrix as well as the P...
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Peter Ponders PID - IAE,ITAE,ISE Performance indicators
17 min
Beginner
Video
Theory
Performance indicators can be used to compute closed loop pole locations. Only one gain parameter is required to move the pole locations closer to the origi...
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Transfer Functions: Introduction and Implementation
53 min
Beginner
Video
Theory
In this video we introduce transfer functions and show how they can be derived from a set of linear, ordinary differential equations. We also examine how to...
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Auto Tuning a Small DC Motor in Torque Mode
1 min
Beginner
Video
Theory
I was really testing the picture in picture feature of the Screen Flow software I use to make these videos. I knew the auto tuning would work. I kept the v...
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Machine Learning Control: Genetic Programming
12 min
Beginner
Video
Theory
This lecture explores the use of genetic programming to simultaneously optimize the structure and parameters of an effective control law.
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Introduction to Partial Differential Equations
52 min
Beginner
Video
Theory
This is the first lesson in a multi-video discussion focused on partial differential equations (PDEs).In this video we introduce PDEs and compare them with o...
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Understanding Model Predictive Control, Part 5: How To Run MPC Faster
7 min
Beginner
Video
Theory
This video starts by providing quick tips for implementing MPC for fast applications. If you need to further decrease the sample time for your fast applications, you can use explicit MPC...
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Time domain - tutorial 4: transformation examples
5 min
Beginner
Video
Theory
In this video, we solve examples to practice different signal transformations using a systematic approach. By the end of this lecture, you should be able to ...
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Bode Plots by Hand: Complex Poles or Zeros
11 min
Beginner
Video
Theory
This is a continuation of the Control Systems Lectures. This video describes the benefit of being able to approximate a Bode plot by hand and explains what a Bode plot looks like for a...
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Cascade Control Intro
8 min
Beginner
Video
Theory
How can we improve the disturbance rejection of our controllers using additional, relevant measurements? Tune in to find out!
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Dynamic Modeling in Process Control
14 min
Beginner
Video
Theory
I'll show you how we can build the dynamic models necessary to derive process transfer functions as an introduction to process control.
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Drone Simulation and Control, Part 2: How Do You Get a Drone to Hover?
13 min
Beginner
Video
Theory
In the last video, we showed we can manipulate the four motors of a quadcopter to maneuver it in 3D space by getting it to roll, pitch, yaw, and change its thrust. We also covered the four...
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Equations of Motion for a Planar Vehicle
43 min
Beginner
Video
Theory
In this video we outline equations of motion for a simple planar vehicle. This model is suitable for vehicles such as boats or hovercraft that that are rest...
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Introduction to the Fourier Transform (Part 1)
13 min
Beginner
Video
Theory
This video is an introduction to the Fourier Transform. I try to give a little bit of background into what the transform does and then I go step by step through explaining the Inverse...
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Using a Homogeneous Transformation Matrix to Combine Rotation and Translatio...
63 min
Beginner
Video
Theory
In this video we discuss how to properly deal with coordinate frames that are both rotated and translated from one another. We develop a homogeneous transfo...
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Designing a Lead Compensator with Bode Plot
14 min
Beginner
Video
Theory
This video walks through a phase lead compensator example using the Bode Plot method.
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The Routh-Hurwitz Stability Criterion
82 min
Beginner
Video
Theory
In this video we explore the Routh Hurwitz Stability Criterion and investigate how it can be applied to control systems engineering. The Routh Hurwitz Stabi...
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Peter Ponders PID - Cascade Control Part1
20 min
Beginner
Video
Theory
I cover whether cascade control is necessary. Why there needs to be a feed back for every loop. How to calculate gains. Bode plots and ratio of the inner t...
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Control Bootcamp: Three Equivalent Representations of Linear Systems
12 min
Beginner
Video
Theory
This video explores three equivalent representations of linear systems: State-space ODEs, Frequency domain transfer functions, and Time-domain impulse response convolution.
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Relationship Between Poles and Performance of a Dynamic System
43 min
Beginner
Video
Theory
In this video we establish the relationship between pole locations and associated performance of a dynamic system. This relationship is useful to translate ...
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Control Systems Lectures - Transfer Functions
11 min
Beginner
Video
Theory
This lecture describes transfer functions and how they are used to simplify modeling of dynamic systems.
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Machine Learning Goals
7 min
Beginner
Video
Theory
This lecture discusses the high-level goals of machine learning, and what we want out of our models. Goals include speed and accuracy, along with interpretability, generalizability...
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