Linear Systems of Equations, Least Squares Regression, Pseudoinverse

This video describes how the SVD can be used to solve linear systems of equations. In particular, it is possible to solve nonsquare systems (overdetermined or underdetermined) via least...

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Neural Networks: Caveats

This lecture discusses some key limitations of neural networks and suggests avenues of ongoing development.

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Tuning a Fuzzy Logic Controller with Data | Fuzzy Logic, Part 4

This video covers the basics of data-driven approaches to tuning fuzzy inference systems. See what it means to find an optimal solution, which fuzzy inference parameters are being tuned...

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Trimming a Model of a Dynamic System Using Numerical Optimization

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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Digital Twin Parameter Tuning

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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The Laplace Transform

In this video we show how to perform the Laplace transform on a signal in the time domain to obtain its equivalent representation in the Laplace domain. Top...

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Lectures on Adaptive Control and Learning by Tansel Yucelen

A serie of lectures on the topic of adaptive controllers.

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Understanding Sensor Fusion and Tracking, Part 4: Tracking a Single Object W...

This video describes how we can improve tracking a single object by estimating state with an interacting multiple model filter. We will build up some intuition about the IMM filter and show...

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Introduction to Bode Plots

In this video we introduce the concept of Bode plots including what they represent, how they are generated, as well as how to use Matlab tools to work with B...

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CORRECTION: Bode Plots by Hand: Complex Poles or Zeros

I explain how to determine the straight-line estimate of the Bode Plot for a second order transfer function with a pair of complex poles. This video is a repeat of the last half of the Bode...

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Peter Ponders PID - LQR Optimizing Two Outputs

To make this LQR video different I use LQR to control two output and find the best 'compromise' between controlling the level and temperature in a mixing tan... See More

Derivation and Solution of Laplace’s Equation

In this video we show how the heat equation can be simplified to obtain Laplace’s equation. We investigate how to solve Laplace’s equation using separation ...

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Peter Ponders PID - Controlling a non-integrating single pole system. Part 3...

Part 3 uses PI control which is the only practical means of control a non-integrating single pole system.http://deltamotion.comhttp://forum.deltamotion.com

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Frequency domain – tutorial 1: concept of frequency (with Chinese subtitle)

In this video, the following materials are covered:1) intuitive explanation on the frequency concept 2) what is the relation between time and frequency domai...

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Understanding Sensor Fusion and Tracking, Part 2: Fusing a Mag, Accel, and G...

This video describes how we can use a magnetometer, accelerometer, and a gyro to estimate an object’s orientation. The goal is to show how these sensors contribute to the solution, and to...

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TikZ source Code: Feedback systems

TikZ source Code: Feedback systems

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Fourier Series: Part 1

This video will show how to approximate a function with a Fourier series, which is an infinite sum of sines and cosines. We will discuss how these sines and cosines form a basis for the...

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IMC PID Design of a Second Order Process

IMC PID Design of a Second Order Process

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TikZ source Code: Simulation Graph

TikZ source Code: Simulation Graph

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Frequency domain – tutorial 4: Gibbs phenomenon

In this video, we quickly review the Gibbs phenomenon which involves two facts:1) Fourier sums overshoot at a jump discontinuity2) overshoot does not disapp...

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Second Order Dynamics

A crash course overview on second order dynamics in the frequency domain, what the key parameters are, and why they matter.

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SVD Method of Snapshots

This video describes how to compute the singular value decomposition (SVD) using the method of snapshots, by Sirovich 1987.

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Control Bootcamp: Cruise Control Example with Proportional-Integral (PI) co...

In this video, we show that introducing integral control reduces the steady-state tracking error to zero in the cruise control example. We also use a more sophisticated model for the...

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Equations of Motion for a Planar Vehicle

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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A Nonlinear, 6 DOF Dynamic Model of an Aircraft: the Research Civil Aircraft...

In this video we develop a dynamic model of an aircraft by describing forces and moments generated by aerodynamic, propulsion, and gravity that act on the ai...

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