Control Bootcamp: Laplace Transforms and the Transfer Function

Here we show how to compute the transfer function using the Laplace transform.

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TikZ source Code: Multiplication of system variables

TikZ source Code: Multiplication of system variables

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Derivation of the 2D Wave Equation

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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Fourier Series and Gibbs Phenomena [Python]

This video will describe how to compute the Fourier Series in Python and Gibbs Phenomena that appear for discontinuous functions.

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SVD: Image Compression [Matlab]

This video describes how to use the singular value decomposition (SVD) for image compression in Matlab.

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TikZ source Code: Sliding Mode Control Example System 1

TikZ source Code: Sliding Mode Control Example System 1

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Frequency domain – tutorial 6: Fourier transform tables

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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Routh Stability Criterion Intro and Example

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...

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Course Introduction (Signal Processing 101)

Learn Signal Processing 101 in 31 lectures covering time, frequency and Laplace domain in about 8 hours all together:https://www.youtube.com/watch?v=KZd68xga...

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Control Systems with MATLAB - Root Locus

Few root locus examples have been explained in this video using MATLAB comand rltool. Also, the MATLAB GUI called rltool with which user can click and insert... See More

IMC Design of an Unstable Process Example

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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Relative Gain Array RGA and Input Output Pairing

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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Homogeneous Linear Ordinary Differential Equations

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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Machine Learning Course by Andrew Ng

A very comprehensive and detailed course in machine learning , best suited for beginners with knowledge of high school linear mathematics.

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Cartesian, Polar, Cylindrical, and Spherical Coordinates

In this video we discuss Cartesian, Polar, Cylindrical, and Spherical coordinates as well as develop forward and reverse transformations to go from one coord...

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Understanding Sensor Fusion and Tracking, Part 3: Fusing a GPS and IMU to Es...

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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Understanding and Sketching the Root Locus

In this video we discuss how to sketch the root locus for a system by developing a series of 5 core rules augmented by 5 supplemental rules (for a total of 1...

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Peter Ponders PID - IAE,ITAE,ISE Performance indicators

Performance indicators can be used to compute closed loop pole locations. Only one gain parameter is required to move the pole locations closer to the origi...

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Lecture 20: PID and Lag-Lead Compensator Design using Root Locus

Design of a Proportional-Integral-Derivative [PID] controller and a lag-lead controller using Root Locus has been discussed in this video with numerical exam... See More

Final Value Theorem

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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Designing a Lead Compensator with Root Locus

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

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TikZ source Code: Interconnected MIMO Subsystems

TikZ source Code: Interconnected MIMO Subsystems with different input and output dimensions

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Heat Transfer Demonstration

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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Introduction to the Fourier Transform (Part 2)

This video is the second part of the introduction to the Fourier Transform. I address an error that I made in the first video concerning the scaling term of the transform. I also try to...

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Control Bootcamp: Linear Quadratic Gaussian (LQG)

This lecture combines the optimal full-state feedback (e.g., LQR) with the optimal full-state estimator (e.g., LQE or Kalman Filter) to obtain the sensor-based linear quadratic Gaussian (LQG...

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