Derivation of the 2D Wave Equation
27 min
Beginner
Video
Theory
In this video we derive the 2D wave equation. This partial differential equation governs the motion of waves in a plane and is applicable for thin vibrating...
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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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Frequency domain – tutorial 6: Fourier transform tables
34 min
Beginner
Video
Theory
In this video, we learn about Fourier transform tables which enable us to quickly travel from time to the frequency domain. The main learning objective is to...
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SVD Method of Snapshots
4 min
Beginner
Video
Theory
This video describes how to compute the singular value decomposition (SVD) using the method of snapshots, by Sirovich 1987.
See More![Linear Quadratic Regulator (LQR) Control for the Inverted Pendulum on a Cart [Control Bootcamp]](/sites/default/files/styles/search_resulkts/public/2020-12/maxresdefault_431.jpg?itok=vs89WnA2 "Linear Quadratic Regulator (LQR) Control for the Inverted Pendulum on a Cart [Control Bootcamp]")
Linear Quadratic Regulator (LQR) Control for the Inverted Pendulum on a Cart...
13 min
Beginner
Video
Theory
Here we design an optimal full-state feedback controller for the inverted pendulum on a cart example using the linear quadratic regulator (LQR). In Matlab, we find that this is a simple one...
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Frequency domain – tutorial 10: modulation
22 min
Beginner
Video
Theory
In this video, we learn about modulation technique which is commonly used in communication systems to send information from transmitter to receiver. The foll...
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Routh Stability Criterion Intro and Example
13 min
Beginner
Video
Theory
I introduce and walk through an example problem of how we can use the Routh Stability Criterion to rigorously determine the necessary and sufficient conditio...
See More![Stability and Eigenvalues [Control Bootcamp]](/sites/default/files/styles/search_resulkts/public/2020-12/maxresdefault_289.jpg?itok=dbD4O7ru)
Stability and Eigenvalues [Control Bootcamp]
19 min
Beginner
Video
Theory
Here we discuss the stability of a linear system (in continuous-time or discrete-time) in terms of eigenvalues. Later, we will actively modify these eigenvalues, and hence the dynamics...
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IMC Design of an Unstable Process Example
10 min
Beginner
Video
Theory
In this video, I cover how we can use IMC method to rigorously design a controller for an inherently unstable process (has a positive pole).
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Stanford CS234: Reinforcement Learning | Winter 2019 | Lecture 15 - Batch Re...
79 min
Intermediate
Video
Theory
Professor Emma Brunskill
Assistant Professor, Computer Science
Stanford AI for Human Impact Lab
Stanford Artificial Intelligence Lab
Statistical Machine Learning Group
![Degrees of Controllability and Gramians [Control Bootcamp]](/sites/default/files/styles/search_resulkts/public/2020-12/maxresdefault_305.jpg?itok=6ZkiWCDa)
Degrees of Controllability and Gramians [Control Bootcamp]
15 min
Beginner
Video
Theory
This lecture discusses degrees of controllability using the controllability Gramian and the singular value decomposition of the controllability matrix.
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Neural Networks: Caveats
8 min
Beginner
Video
Theory
This lecture discusses some key limitations of neural networks and suggests avenues of ongoing development.
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Relative Gain Array RGA and Input Output Pairing
12 min
Beginner
Video
Theory
The RGA is a tool used by process engineers to determine how to pair inputs and outputs during controller design to strive for better performance and robustn...
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Automatic Updates of Transition Potential Matrices in Dempster-Shafer Networ...
Advanced
Peer Reviewed Paper
Theory
Journal article that develops an evidential reasoning network capable of learning/updating the relationships between Frames of Discernment (the sets over which Dempster-Shafer reasons that...
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Data-Driven Control: Eigensystem Realization Algorithm Procedure
17 min
Intermediate
Video
Theory
In this lecture, we describe the eigensystem realization algorithm (ERA) in detail, including step-by-step algorithmic instructions.
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Homogeneous Linear Ordinary Differential Equations
74 min
Beginner
Video
Theory
In this video we discuss how to solve homogeneous linear ordinary differential equations (ODEs). The approach outlined in this lecture is applicable to high...
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Peter Ponders PID-Fuzzy Logic vs PID
10 min
Beginner
Video
Theory
There are many academic and engineering papers showing how good fuzzy logic control is relative to PID control. Every FL vs PID paper I have seen compares...
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The Inverse Laplace Transform
48 min
Beginner
Video
Theory
In this video we show how to perform the inverse Laplace transform on a signal in the Laplace domain to obtain its equivalent representation in the time doma...
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Peter Ponders PID - T0P1 Part 4, Misc Topics
20 min
Beginner
Video
Theory
This video covers another way to compute symbolic gains, the difference between having the P gain act on the error or just the feedback, extending bandwidt...
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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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Understanding Sensor Fusion and Tracking, Part 3: Fusing a GPS and IMU to Es...
14 min
Beginner
Video
Theory
This video continues our discussion on using sensor fusion for positioning and localization by showing how we can use a GPS and an IMU to estimate and object’s orientation and position. We...
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Final Value Theorem
33 min
Beginner
Video
Theory
In this video we discuss the Final Value Theorem. Given a signal in the Laplace domain, this allows us to predict the steady state value of the signal in th...
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Digital Twin Parameter Tuning
9 min
Beginner
Video
Theory
Learn how to tune the digital twin model of a pump system to its physical asset using Simulink Design Optimization™. You can use measured data collected from the physical system to tune the...
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Heat Transfer Demonstration
63 min
Beginner
Video
Theory
In this video we demonstrate heat transfer through a metal bar. By heating one side of the bar we can impose a non-uniform temperature distribution across t...
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Euler Angles and the Euler Rotation Sequence
70 min
Intermediate
Video
Theory
In this video we discuss how Euler angles are used to define the relative orientation of one coordinate frame to another.
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