Explaining how we can use the root locus to choose a range of K that ensure the closed-loop system is stable.

Views: 48674
katkimshow

How to find the range of the gain K for a system is stable using the system's open loop root locus plot. You will learn to use the MATLAB functions rlocus, step, and how to navigate root locus plots.

Views: 78257
AllAboutEE

Stability analysis determines the range of controller gains that are expected to create a stable response. The stable response can either reach a new steady state with oscillations or no oscillations. A root locus plot is a quick way to show stability versus instability and any expected oscillations.

Views: 15705
APMonitor.com

I'm writing a book on the fundamentals of control theory!
Get the book-in-progress with any contribution for my work on Patreon - https://www.patreon.com/briandouglas
The Root Locus method is a fantastic way of visualizing how the poles of a system move through the S-plane when a single system parameter is varied from 0 to infinity. I show how to interpret the locations of poles in the S-plane, and how they are tied back to system requirements.
Don't forget to subscribe! I'm on Twitter @BrianBDouglas!
If you have any questions on it leave them in the comment section below or on Twitter and I'll try my best to answer them.
I will be loading a new video each week and welcome suggestions for new topics. Please leave a comment or question below and I will do my best to address it. Thanks for watching!

Views: 520269
Brian Douglas

root locus gain factor K calculation

Views: 13126
Education 4u

rooot locus technique steps with plotted on graph and salient features

Views: 216504
CONTROL SYSTEM

Find range of K for stability...

Views: 24989
Raiya Energy Academy

I'm writing a book on the fundamentals of control theory!
Get the book-in-progress with any contribution for my work on Patreon - https://www.patreon.com/briandouglas
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 it, and the second case is when there is an entire row of zeros. I explain how to continue filling out the Routh Array for each of these cases and provide a little insight into what they mean for the system stability.
I will be loading a new video each week and welcome suggestions for new topics. Please leave a comment or question below and I will do my best to address it. Thanks for watching!
Don't forget to subscribe! Follow me on Twitter @BrianBDouglas!

Views: 171523
Brian Douglas

root locus in control system problems for higher order systems

Views: 62989
Education 4u

Part 2 of explaining how to draw the root locus for a (negative) feedback control system. Showing that the root locus must be symmetric about the real axis and that it also exist on the real axis to the left of an odd number of the open-loop poles or zeros.
Correction: The forth rule about the real axis should be: "The real axis root locus exists to the left of an odd number of poles or zeros of G(s)H(s)." Sorry for the confusion!

Views: 44834
katkimshow

Root Locus Stability Condition
Control System in Hindi
Facebook Page: https://www.facebook.com/ElectricalEngg.17/

Views: 58
Education Simplified

Views: 97965
katkimshow

Intersection of root locus branches with the imaginary axis, finding the intersection point and the corresponding value for K is found by using Routh Stability Criterion by forming Routh array.

Views: 18037
techgurukula

Root Locus Technique Construction Rules
watch more videos at
https://www.tutorialspoint.com/videotutorials/index.htm
Lecture By: Mrs. Gowthami Swarna, Tutorials Point India Private Limited

Views: 72510
Tutorials Point (India) Pvt. Ltd.

In this video, i have explained Root Locus beyond Stability.
For free materials of different engineering subjects use my android application named Engineering Funda with following link:
https://play.google.com/store/apps/details?id=com.viaviapp.ENG_Funda
Above Android application of Engineering Funda provides following services:
1. Free Materials (GATE exam, Class Notes, Interview questions)
2. Technical Forum
3. Technical discussion
4. Inquiry
For more details and inquiry on above topic visit website of Engineering Funda with given link:
http://www.engineeringfunda.co.in
Engineering Funda channel is all about Engineering and Technology. Here this video is a part of Control Engineering.
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#Control Engineering, #Control System, #Control System Engineering

Views: 2103
Engineering Funda

Example problem on how to find range of K given block diagram for the system to be stable

Views: 15300
Raiya Energy Academy

The two fundamental equations for root locus construction are derived by considering the closed loop characteristic equation's magnitude and phase. One of these provides a method for computing the design parameter, K, from the desired closed loop pole locations of a root locus plot. An example is used to illustrate the approach.

Views: 16457
Gordon Parker

Explaining how a transfer function with negative imaginary poles behaves using the Laplace Transform.

Views: 58895
katkimshow

I'm writing a book on the fundamentals of control theory!
Get the book-in-progress with any contribution for my work on Patreon - https://www.patreon.com/briandouglas
In this video I go through various ways to use Matlab to plot and visualize the root locus?
Errata:
None yet that I know of!
Links to other Matlab demos and tutorials:
Getting started with the SISO design Tool:
http://www.mathworks.com/help/control/examples/getting-started-with-the-siso-design-tool.html?prodcode=CT&language=en
Control System Design with Control System Tuning App:
http://www.mathworks.com/videos/control-system-design-with-control-system-tuning-app-68749.html
Using Bode Plots with DC motor control example:
http://www.mathworks.com/videos/using-bode-plots-dc-motor-control-example-5-of-5-77062.html
Nonlinear Plant Control at Different Operating Points:
http://www.mathworks.com/videos/nonlinear-plant-control-at-different-operating-points-68747.html
Don't forget to subscribe! I'm on Twitter @BrianBDouglas!
If you have any questions on it leave them in the comment section below or on Twitter and I'll try my best to answer them.
I will be loading a new video whenever I can and welcome suggestions for new topics. Please leave a comment or question below and I will do my best to address it. Thanks for watching!

Views: 86878
Brian Douglas

I'm writing a book on the fundamentals of control theory!
Get the book-in-progress with any contribution for my work on Patreon - https://www.patreon.com/briandouglas
This video explains why we need design tools like the Routh-Hurwitz Criterion, Bode Plots, Nyquist Plots, and Root Locus. This is an introduction into the difficulties of determining the stability of closed loop systems and why we can't use the same techniques that we use for determining the stability of open loop systems. I hope this video gets you interested and excited to learn more about these design tools!
I will be loading a new video each week and welcome suggestions for new topics. Please leave a comment or question below and I will do my best to address it. Thanks for watching!
Don't forget to subscribe! Follow me on Twitter @BrianBDouglas!

Views: 142475
Brian Douglas

Views: 41343
Naveen Pandey

LECTURE IN CONTROL SYSTEM ANALYSIS (ARABIC) , YANBU INDUSTRIAL COLLEGE (YIC) | Stability |

Views: 14626
YanbuCollege

Describes how the stability of a system can be determined from the pole locations of its transfer function.
This video is one in a series of videos being created to support EGR 433:Transforms & Systems Modeling at Arizona State University. Links to the other videos can be found at http://sites.google.com/a/asu.edu/signals-and-systems/

Views: 40516
Darryl Morrell

routh array stability example,
routh array stability criteria,
routh array stability,
stability analysis control system,
control system.
ANY DOUBT ? ASK ON FB page .
facebook link : https://www.facebook.com/studysimplified/
quora link : https://www.quora.com/profile/Shrenik-Jain-51

Views: 3447
Shrenik Jain

A MATLAB root locus plot is used to determine the stability limits of a Proportional-only controller. A PDF of this reactor temperature example problem is located at http://apmonitor.com/che436 as a take-home quiz.
http://apmonitor.com/che436/uploads/Main/quiz9.pdf

Views: 1395
APMonitor.com

Setting up the properties of the closed-loop transfer function poles, so that we can see how the poles change as we vary the control scalar K from 0 to infinity.

Views: 30811
katkimshow

Closed-loop stability can be analyzed with Routh Arrays, Bode Plots, or Root Locus plots. This example is from the textbook Process Dynamics and Control (Seborg, Edgar, Millichamp, Doyle, SEMD Ver3 - problem 11.14) worked with Simulink and MATLAB.

Views: 26427
APMonitor.com

The purpose of controller stability analysis is to determine the range of controller gains between lower and upper limits that lead to a stable controller. KcL≤Kc≤KcU The principles of stability analysis presented here are general for any linear time-invariant system whether it is for controller design or for analysis of system dynamics. Several characteristics of a system in the Laplace domain can be deduced without transforming a system signal or transfer function back into the time domain. Some of the analysis relies on the roots of the transfer function denominator, also known as poles. The roots of the numerator, also known as zeros, do not affect the stability directly but can potentially cancel an unstable pole to create an overall stable system.
A first point of analysis is whether the system converges or diverges. This is determined by analyzing the roots of the denominator of the transfer function. If any of the real parts of the roots of the denominator are positive then the system is unstable. A simple rule to determine whether there are positive real roots is to examine the signs of the polynomial. If there are mixed signs (+ or -) then the system will be unstable because there is at least one positive real root. Before modern computational methods, there were several methods devised to determine the stability of a system. One such approach is the Routh-Hurwitz stability criterion. The leading left edge of a table determines whether the system is stable for or any nth-degree polynomial.
See http://apmonitor.com/pdc/index.php/Main/StabilityAnalysisExercises for Python source code.

Views: 866
APMonitor.com

Root Locus – Solved Example of Transfer Function with Complex Pole
For Students of B.Tech, B.E, MCA, BCA, B.Sc., M.Sc., Courses - As Per IP University Syllabus and Other Engineering Courses

Views: 99006
Easy Engineering Classes

This video will demonstrate how to use the 5 rules to sketch the root locus for a given open loop transfer function. It will also show how to determine the gains on the root locus and the range of K for the stability of the closed loop transfer function based upon the roots of the characteristic equation.

Views: 627
Rose-Hulman Online

Views: 4854
techwinder

Defining poles and zeros for a system transfer function.

Views: 112829
katkimshow

Root Locus | Control System Experiment | LabVIEW
n 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).

Views: 333
LabVIEW & Multisim by Nitesh Pradhan

Example on Routh Array Stable System
watch more videos at
https://www.tutorialspoint.com/videotutorials/index.htm
Lecture By: Mrs. Gowthami Swarna, Tutorials Point India Private Limited

Views: 67715
Tutorials Point (India) Pvt. Ltd.

This example problem demonstrates how to solve for a closed-loop transfer function and determine the values of a controller gain that will maintain stability. The results are confirmed with a MATLAB root locus plot.

Views: 8511
APMonitor.com

Views: 17286
GATE ACHIEVERS

Find the value of K at point A for the given Root Locus with damping ratio of 0.5

Views: 22862
GATE paper

- How to plot the root locus of open-loop transfer function
- How to find range for gain (K) to achieve system stability.
using MATLAB TOOL
Course/Control Systems

Views: 204
hamza hejja

The concept of stability is presented, requiring a bounded output for any bounded input. The stability of the closed loop blending process is calculated for a proportional control law. The root locus plot is introduced to visualize the dependence of stability on controller gain.
Made by Prof. Martha Grover from the Georgia Institute of Technology and produced by the University of Colorado Boulder, Department of Chemical & Biological Engineering.
Check out our Process Control playlist: https://www.youtube.com/playlist?list=PL4xAk5aclnUhfXrHhv_ZQfbQ6w6ahwfFQ
Check out our website for screencasts organized by popular textbooks: http://www.learncheme.com/screencasts/process-controls
Check out our website for interactive process control simulations: http://www.learncheme.com/simulations/process-control

Views: 686
LearnChemE

A system stability analysis (the range at which a controller makes a system stable) is demonstrated with a root locus plot in MATLAB.

Views: 7039
APMonitor.com

LECTURE IN CONTROL SYSTEM ANALYSIS (ARABIC) , YANBU INDUSTRIAL COLLEGE (YIC).
Root Locus

Views: 39382
YanbuCollege

I'm writing a book on the fundamentals of control theory!
Get the book-in-progress with any contribution for my work on Patreon - https://www.patreon.com/briandouglas
In this video I go through some of the common questions I've received on my other root locus videos.
1) Why do we call the poles of a system the roots?
2) How do I plot the damping ratio line on a root locus plot?
3) How is the damping ratio equation cos(b) = zeta work when zeta is greater than 1?
4) How do I solve for the gain of system using the root locus plot?
5) How can I use Matlab to plot the root locus?
Errata:
None yet that I know of!
Don't forget to subscribe! I'm on Twitter @BrianBDouglas!
If you have any questions on it leave them in the comment section below or on Twitter and I'll try my best to answer them.
I will be loading a new video whenever I can and welcome suggestions for new topics. Please leave a comment or question below and I will do my best to address it. Thanks for watching!

Views: 98119
Brian Douglas

This video will describe how to sketch a root locus given a feedback control system block diagram. It will also determine the range of K for system stability and identify them on the root locus. This video also shows how to design a control system to meet specifications by using hand calculations with root locus as well as MATLAB and SisoTool.

Views: 625
Rose-Hulman Online

In this Session, i have explained Example of Root Locus Plot.
For free materials of different engineering subjects use my android application named Engineering Funda with following link:
https://play.google.com/store/apps/details?id=com.viaviapp.ENG_Funda
Above Android application of Engineering Funda provides following services:
1. Free Materials (GATE exam, Class Notes, Interview questions)
2. Technical Forum
3. Technical discussion
4. Inquiry
For more details and inquiry on above topic visit website of Engineering Funda with given link:
http://www.engineeringfunda.co.in
Engineering Funda channel is all about Engineering and Technology. Here this video is a part of Control Engineering.
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#Control Engineering, #Control System, #Control System Engineering

Views: 64527
Engineering Funda

Discusses the characteristic equation and applies it to a basic block diagram. Explains how to determine process stability.
Made by faculty at Lafayette College and produced by the University of Colorado Boulder, Department of Chemical & Biological Engineering.
Check out our Process Control playlist: https://www.youtube.com/playlist?list=PL4xAk5aclnUhfXrHhv_ZQfbQ6w6ahwfFQ
Are you using a textbook? Check out our website for screencasts organized by popular textbooks: http://www.learncheme.com/screencasts/process-controls
Check out our website for interactive Process Control simulations: http://www.learncheme.com/simulations/process-control

Views: 18545
LearnChemE

In this video, i have explained Angle of Departure in Root Locus following aspects:
1. Root Locus
2. Example on Root Locus
3. Angle of Departure
4. Angle of Departure in Root Locus
For free materials of different engineering subjects use my android application named Engineering Funda with following link:
https://play.google.com/store/apps/details?id=com.viaviapp.ENG_Funda
Above Android application of Engineering Funda provides following services:
1. Free Materials (GATE exam, Class Notes, Interview questions)
2. Technical Forum
3. Technical discussion
4. Inquiry
For more details and inquiry on above topic visit website of Engineering Funda with given link:
http://www.engineeringfunda.co.in
Engineering Funda channel is all about Engineering and Technology. Here this video is a part of Control Engineering
#Engineering Funda, #Control Engineering, #Control System, #Control System Engineering, #Example, #Root Locus, # Example on Root Locus, #Angle of Departure, #Angle of Departure in Root Locus

Views: 4050
Engineering Funda

LECTURE IN CONTROL SYSTEM ANALYSIS (ARABIC) , YANBU INDUSTRIAL COLLEGE (YIC) | Stability |

Views: 9643
YanbuCollege