Fourier Analysis: Overview

This video presents an overview of the Fourier Transform, which is one of the most important transformations in all of mathematical physics and engineering. This series will introduce the...

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TikZ source Code: Lyapunov Lure

TikZ source Code: Lyapunov Lure

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Lecture 30: Canonical Forms

In this video, phase variable canonical form or Controllable Canonical form as well as Observable Canonical form of state space representation is explained See More

The Fourier Transform and Derivatives

This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations.

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Time Domain Analysis: Performance Metrics for a First Order System

In this video we introduce the concept of time domain analysis for dynamic systems. We examine a first order dynamic system and derive how various performan...

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Cayley-Hamilton Theorem [Control Bootcamp]

Here we describe the Cayley-Hamilton Theorem, which states that every square matrix satisfies its own characteristic equation. This is very useful to prove results related to...

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Control Systems with MATLAB - Time Domain Analysis

Time domain analysis has been carried out using MATLAB in this video. Second order systems have been discussed in detail. How to obtain different time domain... 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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Control Systems Lectures - Time and Frequency Domain

This lecture introduces the time and frequency domains. A very quick description of the Laplace Transform is given which will be the base of many of classical control lectures in the future...

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Internal Model Control Example Problem

I walk through how to design a feedback controller based on a given process transfer function, using Internal Model Control.

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Frequency domain – tutorial 9: frequency response

In this video, the learning objectives are to:1- fully understand the frequency response which forms the foundation of filtering 2- quickly review the common...

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Direct Synthesis Method Numerator Dynamics Problem

I walk through how to design a PID feedback controller when given a second order process with numerator dynamics, using the Direct Synthesis Method.

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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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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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Predicting Second Order Transfer Function Behavior

Given a second order transfer function, I'll cover how we can predict the system behavior and derive the appropriate time constants and damping coefficient.

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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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Standard 2nd Order ODEs: Natural Frequency and Damping Ratio

In this video we discuss writing 2nd order ODEs in standard form xdd(t)+2*zeta*wn*xd(t)+wn^2*x(t)where zeta = damping ratio wn = natural ...

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Peter Ponders PID - InputShaping

Input shaping is used by cranes and other applications where a load that vibrates or swings needs to be moved into position without vibrating or oscillating ... See More

Euler Angles and the Euler Rotation Sequence

In this video we discuss how Euler angles are used to define the relative orientation of one coordinate frame to another.Topics and Timestamps:0:00 – Introd...

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Peter Ponders PID - Root Locus Is Useless

Root Locus is almost worthless. Knowing where the poles are as only 1 gain is changed is not very useful since one only has a limited choices on response. ... See More

Understanding The Sensitivity Function

In this video I explain the sensitivity function and try to demystify the equation used to solve for the nominal sensitivity peak. Sensitivity describes how much process variations affect...

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Using ‘minreal’ in Matlab to Perform Transfer Function Pole/Zero Cancellatio...

In this tutorial we look at using the ‘minreal’ function in Matlab to perform pole/zero cancellation from transfer functions.Topics and time stamps:(0:10) – ...

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TikZ source Code: Two systems in negative feedback

TikZ source Code: Two systems in negative feedback

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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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Control Systems Lectures - Transfer Functions

This lecture describes transfer functions and how they are used to simplify modeling of dynamic systems.

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