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Controllability [Control Bootcamp]

Steve Brunton
32 min
Beginner
Video
Theory

This lecture explores when a linear system is controllable. We begin with the simple test in terms of the rank of the controllability matrix on a few intuitive examples.

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Least Squares Regression and the SVD

Steve Brunton
5 min
Beginner
Video
Theory

This video describes how the SVD can be used to solve linear systems of equations. In particular, it is possible to solve nonsquare systems (overdetermined or underdetermined) via least...

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Closed Loop Feedback Control

Vincent Stevenson
13 min
Beginner
Video
Theory

Intro to closed loop (feedback) control motivation, theory, block diagrams and block diagram algebra, and PID controllers

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Standard HW Problem #1: PID and Root Locus

Brian Douglas
18 min
Beginner
Video
Theory

A walk through of a typical homework problem using the root locus method to tune a PID controller. This is the first in what may be a series of homework style problems I'll cover. This is...

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The Taylor Series

Christopher Lum
84 min
Beginner
Video
Theory

In this video we discuss the Taylor Series (and the closely related Maclaurin Series). These are two specific types of Power Series that allow you to approx...

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Drawing the root locus (Interactive Tool)

Erik Cheever
Beginner
App
Theory

This page was developed to help student learn how to sketch the root locus by hand. You can enter a numerator and denominator for G(s)H(s) (i.e., the loop gain) and the program will guide...

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Lecture 15: Root Locus

Dr. Rajesh Joseph Abraham
53 min
Beginner
Video
Theory
This video discusses about the concept of root locus. Rules for sketching Root locus are also laid out. The concept have been explained with 2 examples. If y... See More

Routh-Hurwitz Criterion, Special Cases

Brian Douglas
13 min
Beginner
Video
Theory

This video presents two special cases that you can encounter when filling out the Routh Array. The first case is when there is a zero in a row with at least one non-zero element following...

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Solving the 1D Wave Equation

Christopher Lum
118 min
Beginner
Video
Theory

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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Lecture 14: Routh Hurwitz Criterion

Dr. Rajesh Joseph Abraham
22 min
Beginner
Video
Theory
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