Bode Plots by Hand: Real Constants
8 min
Beginner
Video
Theory
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 simple transfer function; a real constant.
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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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Machine Learning - Andrew Ng, Stanford University
Beginner
Video
Theory
Machine learning is the science of getting computers to act without being explicitly programmed. In the past decade, machine learning has given us self-driving cars, practical speech...
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Data-Driven Control: Balanced Proper Orthogonal Decomposition
27 min
Intermediate
Video
Theory
In this lecture, we introduce the balancing proper orthogonal decomposition (BPOD) to approximate balanced truncation for high-dimensional systems.
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Numerically Solving Partial Differential Equations
101 min
Beginner
Video
Theory
In this video we show how to numerically solve partial differential equations by numerically approximating partial derivatives using the finite difference me...
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Understanding The Sensitivity Function
13 min
Beginner
Video
Theory
In this video I explain the sensitivity function and try to demystify the equation used to solve for the nominal sensitivity peak. Sensitivity describes how much process variations affect...
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Discrete control #1: Introduction and overview
22 min
Beginner
Video
Theory
So far I have only addressed designing control systems using the frequency domain, and only with continuous systems. That is, we’ve been working in the S domain with transfer functions. We...
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Resonant Frequency of a Dynamic System
29 min
Beginner
Video
Theory
In this video we discuss the resonant frequency of a dynamic system. We show how the resonant frequency, natural frequency, and damped natural frequency are...
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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: Benefits of Feedback on Cruise Control Example
14 min
Beginner
Video
Theory
Here we investigate the benefits of feedback for systems with uncertain dynamics and disturbances, as illustrated on a cruise control example.
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Solving the 1D Heat Equation
47 min
Beginner
Video
Theory
In this video we simplify the general heat equation to look at only a single spatial variable, thereby obtaining the 1D heat equation. We solving the result...
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Simple Vector Mechanics: Inner Product, Scalar/Vector Projection, and Cross ...
51 min
Intermediate
Video
Theory
In this video we discuss several simple vector operations such as: 1. Computing the magnitude of a vector 2. The inner/dot product 3. The scalar and vector projection 4. The cross product
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The Fast Fourier Transform Algorithm
10 min
Beginner
Video
Theory
Here I discuss the Fast Fourier Transform (FFT) algorithm, one of the most important algorithms of all time.
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Time domain - tutorial 11: system properties from impulse response
13 min
Beginner
Video
Theory
In this video, we learn how to find system properties from the impulse response. Specifically, memoryless, causal, stable and invertible systems will be ful...
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Velocity & Acceleration in Non-Inertial Reference Frames (Coriolis &...
133 min
Intermediate
Video
Theory
In this video we derive a mathematical description of velocity and acceleration in non-inertial reference frame. We examine the effect of fictitious forces that are witnessed by observers on...
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Designing a Lag Compensator with Bode Plot
13 min
Beginner
Video
Theory
This video walks through a phase lag compensator example using the Bode Plot method.
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Time domain - tutorial 2: signal representation
2 min
Beginner
Video
Theory
In this video, we review how to represent information as a signal. The information can be anything such as voice (1D) or an image (2D) or even a video (3D). ...
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Internal Model Control Example Problem
6 min
Beginner
Video
Theory
I walk through how to design a feedback controller based on a given process transfer function, using Internal Model Control.
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SVD and Alignment: A Cautionary Tale
7 min
Intermediate
Video
Theory
This video describes the importance of data alignment when performing the singular value decomposition (SVD). Translations and rotations both present challenges for the SVD.
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Direct Synthesis Method Numerator Dynamics Problem
10 min
Beginner
Video
Theory
I walk through how to design a PID feedback controller when given a second order process with numerator dynamics, using the Direct Synthesis Method.
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Laplace domain – tutorial 6: Transfer function & system properties
24 min
Beginner
Video
Theory
In this video, we learn about transfer function and system properties. The following materials are covered:1) what is a transfer function?2) relation between...
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Neural Network Architectures
9 min
Beginner
Video
Theory
This lecture describes the wide variety of neural network architectures available to solve various problems.
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Predicting Second Order Transfer Function Behavior
4 min
Beginner
Video
Theory
Given a second order transfer function, I'll cover how we can predict the system behavior and derive the appropriate time constants and damping coefficient.
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RL Course by David Silver - Lecture 1: Introduction to Reinforcement Learnin...
88 min
Intermediate
Video
Theory
Introduces reinforcment learning (RL), an overview of agents and some classic RL problems.
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Understanding PID Control, Part 3: Expanding Beyond a Simple Derivative
11 min
Beginner
Video
Theory
This video describes how to make an ideal PID controller more robust when controlling real systems that don’t behave like ideal linear models. Noise is generated by sensors and is present in...
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