Solving the Heat Equation with the Fourier Transform

This video describes how the Fourier Transform can be used to solve the heat equation. In fact, the Fourier transform is a change of coordinates into the eigenvector coordinates for the...

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Bode Plot Gain and Phase Margin Determination

I'll show you how we can determine the Gain and Phase Margin from a Bode Plot (at some fixed controller gain).

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Understanding PID Controller

This blog post begins by walking through the basics and the theoretical part of the PID controllers.  The controller is then tested, verified, and analyzed using MATLAB.

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Posicast Control 6 - ( In English)

This video presents the transition from half-cycle to other cycles ( third-cycle, fourth-cycle,..)

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Koopman Spectral Analysis (Overview)

In this video, we introduce Koopman operator theory for dynamical systems. The Koopman operator was introduced in 1931, but has experienced renewed interest recently because of the...

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Transfer Function to State Space

In this video we show how to transform a transfer function to an equivalent state space representation. We will derive various transformations such as contr...

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Peter Ponders PID - Simulation Methods, Which is Best?

This video compares 3 methods for doing simulations. Laplace transforms, state space and differential equations are compared examining their different adv... See More

Lectures on Adaptive Control and Learning by Tansel Yucelen

A serie of lectures on the topic of adaptive controllers.

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Randomized SVD Code [Python]

This video describes the randomized singular value decomposition (rSVD) (Python code).

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Control Bootcamp: Sensitivity and Robustness

Here we show that peaks in the sensitivity function result in a lack of robustness.

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Fuzzy Inference System Walkthrough | Fuzzy Logic Part 2

This video walks step-by-step through a fuzzy inference system. Learn about concepts like membership function shapes, fuzzy operators, multiple-input inference systems, and rule firing...

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Manipulating Aerodynamic Coefficients

In this video we discuss some potential problems you may encounter when attempting to perform operations with dimensionless aerodynamic coefficients such as ...

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Peter Ponders PID - System Identification Basics

Transfer functions don't come with the machine you are trying to control. Transfer functions must be estimated using system identification techniques. With... See More

SVD: Eigenfaces 4 [Matlab]

This video describes how the singular value decomposition (SVD) can be used to efficiently represent human faces, in the so-called "eigenfaces" (Matlab code, part 4).

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Designing a PID Controller Using the Root Locus Method

In this video we discuss how to use the root locus method to design a PID controller. In addition to discussing the theory, we look at Matlab tools to enabl...

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TikZ source Code: Feedback systems

TikZ source Code: Feedback systems

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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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TikZ source Code: Simulation Graph

TikZ source Code: Simulation Graph

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Data-Driven Control: Balanced Models with ERA

In this lecture, we connect the eigensystem realization algorithm (ERA) to balanced proper orthogonal decomposition (BPOD). In particular, if enough data is collected, then ERA produces...

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Machine Learning Control: Genetic Programming

This lecture explores the use of genetic programming to simultaneously optimize the structure and parameters of an effective control law.

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Standing Waves Demonstration

In this video we demonstrate standing waves. We show how the system can be excited by oscillating at specific frequencies to generating standing waves. The...

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What Is a Control System and Why Should I Care? (Part 1)

This talk introduces the basic concepts of feedback with lots of visual examples. 

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Data-Driven Control: Observer Kalman Filter Identification

In this lecture, we introduce the observer Kalman filter identification (OKID) algorithm. OKID takes natural input--output data from a system and estimates the impulse response, for later...

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Understanding Model Predictive Control, Part 4: Adaptive, Gain-Scheduled and...

This video explains the type of MPC controller you can use based on your plant model, constraints, and cost function. An optimization problem with these properties is a convex one, and you...

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Time domain - tutorial 5: signal properties

In this video, we learn about some special signals which are symmetric around the y-axis (even) or around the origin (odd) . Then we talk about periodic sign...

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