Lecture 21: Introduction to Frequency Response

This video introduces Frequency Response and Frequency Domain Specifications. Thanks to Ames Bielenberg whose animation has been made use of, in this video. See More

Lecture 14: Routh Hurwitz Criterion

Special cases in Routh Hurwitz criterion i.e (1) a row with only first entry being zero and (2) A row with all entries zero are considered. The video of a pr... See More

Solving the 1D Wave Equation

In this video, we solve the 1D wave equation. We utilize the separation of variables method to solve this 2nd order, linear, homogeneous, partial differenti...

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Frequency domain – tutorial 12: FT of periodic signals

In this video, we learn how to find the Fourier transform for periodic signals. The following materials are covered:1) relation between Fourier transform and...

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Linear Systems [Control Bootcamp]

Linear systems of ordinary differential equations are analyzed using eigenvalues and eigenvectors. This will be the mathematical foundation of this bootcamp on linear control theory.

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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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Time domain - tutorial 6: elementary signals

In this video, we cover two elementary signals, unit step and unit impulse, which will be extensively used in this course. The following materials are covere...

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Types of Machine Learning 1

This lecture gives an overview of the main categories of machine learning, including supervised, un-supervised, and semi-supervised techniques, depending on the availability of expert labels...

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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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Drone Control and the Complementary Filter

Let's talk about the complementary filter and how we can use it to estimate the attitude of a drone using an IMU. It is such a dead simple filter, which is a good reason to learn it, but it...

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Control systems with non-minimum phase dynamics

This video describes control systems that have non-minimum phase dynamics, characterized by a zero of the input--output transfer function in the right-half-plane. Physically, these systems...

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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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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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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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Auto Tuning a Small DC Motor in Torque Mode

I was really testing the picture in picture feature of the Screen Flow software I use to make these videos. I knew the auto tuning would work. I kept the v...

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Extremum Seeking Control in Simulink

This lecture explores extremum-seeking control (ESC) on a simple example in Matlab’s Simulink.

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Robotic Car, Closed Loop Control Example

I demonstrate the value of closed loop control in an uncertain environment using my Zumo Robot car. If you're interested in building one yourself and trying this out I think I've given you...

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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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TikZ source Code: Multiplication of system variables

TikZ source Code: Multiplication of system variables

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Basic Control Lectures

Systems approach, understanding and describing the operation of systems and methods of controlling them are among the basic knowledge of engineering education. But understanding the main...

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The Discrete Fourier Transform (DFT)

This video introduces the Discrete Fourier Transform (DFT), which is how to numerically compute the Fourier Transform on a computer. The DFT, along with its fast FFT implementation, is one...

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Gain and Phase Margins Explained!

In this video I explain gain and phase margins. If you are confused by this topic I hope this video will help tie all of the concepts together that go into understanding what gain and phase...

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Time Domain Analysis with Matlab: Using the Linear System Analyzer

In this video we explore various Matlab functions and workflows to perform time domain analysis of a dynamic system. This includes the use of ‘tf’, ‘step’, ...

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Velocity & Acceleration in Non-Inertial Reference Frames (Coriolis &...

In this video we derive a mathematical description of velocity and acceleration in non-inertial reference frame. We examine the effect of fictitious forces ...

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TUTORIAL on Stability and Routh Hurwitz criterion

Numerical problems on Stability and Routh Hurwitz criterion have been discussed in this video. See More