In control theory and stability theory, root locus analysis is a graphical method for examining how the roots of a system change with variation of a certain system parameter, commonly a gain within a feedback system. This is a technique used as a stability criterion in the field of classical control theory developed by Walter R. Evans which can determine stability of the system. The root locus plots the poles of the closed loop transfer function in the complex s-plane as a function of a gain parameter (see pole–zero plot). An analog computer called a "Spirule" can compute root loci. (Wikipedia).
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 10 rules). These rules will help us gain an understanding and intuition on how the root locus behaves as the parameter K increases fr
From playlist Control Theory
Using Root Locus to Meet Performance Requirements
In this video we investigate how to use the root locus technique to design a controller that meets certain performance specifications. Topics and timestamps: (0:17) – Introduction and performance requirements (3:39) – Example designing a controller using root locus (21:16) – Verify contro
From playlist Control Theory
In this video we review the basic components of a parabola
From playlist Parabolas
AQA Core 3 9.01a Locating Roots
I look at how we can show that a curve has a root between two values on the x-axis.
From playlist [OLD SPEC] TEACHING AQA CORE 3 (C3)
How to find Locus in a Plane. We go through how to find these sets of points in a number of examples in this free math video tutorial by Mario's Math Tutoring. 0:23 What is a Locus 0:32 Example 1 Find the Locus of Points that are 3 Inches From a Circle of Radius 5 Inches in a Plane. 2:23
From playlist Locus
In this video we review the basic components of a parabola
From playlist Parabolas
Locus of a Parabola (1 of 3: Defining features)
More resources available at www.misterwootube.com
From playlist Further Work with Functions (related content)
In this video, we show how to find the nth root on desmos
From playlist desmos
Given a Rooted Tree, Determine Relationships
This video analyzes the relationships of vertices in a rooted tree. mathispower4u.com
From playlist Graph Theory (Discrete Math)
Using ‘rlocus’ in Matlab to Plot the Root Locus
This tutorial illustrates how to use the ‘rlocus’ command in Matlab to quickly and easily sketch the root locus. Discussion on the 3 example transfer functions we investigate in this video can be found at: G1(s): https://youtu.be/gA-KOk3SAb0?t=215 G6(s): https://youtu.be/gA-KOk3SAb0?t=628
From playlist Working with Matlab
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
Designing a PID Controller Using the Root Locus Method
In this video we discuss how to use the root locus method to design a PID controller. In addition to discussing the theory, we look at Matlab tools to enable this workflow. In addition, we demonstrate the effectiveness of the resulting controller on a real system. Finally, we discuss ho
From playlist Control Theory
Using the Control System Designer in Matlab
In this video we show how to use the Control System Designer to quickly and effectively design control systems for a linear system. We show how to add multiple design requirements and iterate on control design until satisfactory performance is achieved. Topics and timestamps: 0:00 – Revi
From playlist Working with Matlab
Locus of Complex Equation Z^2 = 1+z/1-z for |z|=1.
Complex Analysis: Find the locus of Z from the equation Z^2 = 1+z/1-z for all z with modulus equal to 1. Steps include parametrizing the unit circle and applying DeMoivre's Theorem to get square roots of complex numbers.
From playlist Complex Analysis
Danny Calegari: Big Mapping Class Groups - lecture 5
Part I - Theory : In the "theory" part of this mini-course, we will present recent objects and phenomena related to the study of big mapping class groups. In particular, we will define two faithful actions of some big mapping class groups. The first is an action by isometries on a Gromov-h
From playlist Topology
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
In this video we review the basic components of a parabola
From playlist Parabolas