Laplace domain – tutorial 2: Region of Convergence (ROC)

In this video, we learn five golden rules on how to quickly find the Region of Convergence (ROC) of Laplace transform. Learn Signal Processing 101 in 31 lect...

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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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Euler (Gimbal Lock) Explained

In this video we explore Euler Rotations, the most common method for orienting objects in 3d. It's by-product "gimbal lock" can cause headaches for animators because the animated motion can...

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Laplace domain – tutorial 3: Laplace transform tables

In this video, we cover Laplace transform tables which help us to quickly find Laplace and inverse Laplace transforms. The main learning objective is to full...

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Dynamic Behavior and Input Types in Process Control

An introduction to the four types of dynamic behavior and five types of inputs (step, ramp, pulse, impulse, and sinusoidal), and why transfer functions are u...

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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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Intro to Process Control

I discuss the motivation and introduce the logic behind controllers that engineers design to respond to errors in outputs (deviations from set points). P and...

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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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Control Systems in Practice, Part 6: What Are Non-Minimum Phase Systems?

We like to categorize transfer functions into groups and label them because it helps us understand how a particular system will behave simply by knowing the group that it’s part of. We gain...

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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

Routh Array and Stability

I show how we can find the range of allowed controller gains for a system that will allow us to maintain stability using a Routh Array.

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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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Nonhomogeneous Linear Ordinary Differential Equations

In the previous video (https://youtu.be/3Kox-3APznI) we examined solving homogeneous linear ordinary differential equations (the forcing function was equal t...

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SOPDT Sliding Mode Control ( SMC ) with Smith Predictor

I made this simulation SMC with Smith predictor just to see how it would work. I am not a process control guy but so many people struggle with temperature c... See More

Control Systems Lectures - Closed Loop Control

This lecture discusses the differences between open loop and closed loop control.

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TikZ source Code: An interconnection of MIMO subsystems

TikZ source Code: An interconnection of MIMO subsystems

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Finding Roots of a Polynomial Using Matlab, Mathematica, and a TI-83

In this video we show how to use Matlab and Mathematica to solve for roots of an arbitrary order polynomial. For fun, we also show how an old graphing calcu...

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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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Understanding Sensor Fusion and Tracking, Part 5: How to Track Multiple Obje...

This video describes two common problems that arise when tracking multiple objects: data association and track maintenance. We cover a few ways to solve these issues and provide a general...

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TikZ source Code: Switching Smooth Filippov

TikZ source Code: Switching Smooth Filippov

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Resonant Frequency of a Dynamic System

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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Designing a Lag Compensator with Root Locus

This video walks through a phase lag compensator example using the Root Locus method.

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Solving the 1D Heat Equation

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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Unitary Transformations

This video discusses unitary matrix transformations and how they relate to the geometry of the singular value decomposition (SVD).

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Time domain - tutorial 11: system properties from impulse response

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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