1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Control Systems - Root Locus with proportional control

  1. Mar 8, 2014 #1
    1. The problem statement, all variables and given/known data

    Atr2KvVl.jpg

    2. Relevant equations

    See below

    3. The attempt at a solution

    Root Locus? Easy Peasy right? Based on provided equation G(s), i solved the coordinates of the root locus diagram using quadratic equation.

    For the 2nd part of the question, i have to find gain at which rise time is 1 second. With previous sample questions, we would use s^2 + 2zWs + W^2 for the 2nd order denominator to finish the question based on given parameters (ie dampening ratio, percentage overshoot etc). How do i deal with the numerator?


    OGN6znIl.jpg
    F73jmPTl.jpg
     
  2. jcsd
  3. Mar 9, 2014 #2

    donpacino

    User Avatar
    Gold Member

    I cannot remember root locus at all. sorry

    that being said matlab will do a root locus plot for you
    you can use that to check your work. I havent done root locus by hand since I was required too in school.

    note: Make sure you understand the material for your tests. for now only use matlab as a tool to help you check your answer. Do not just copy the graph to a piece of paper.

    http://www.mathworks.com/help/control/ref/rlocus.html
     
  4. Mar 9, 2014 #3
    I actually just figured it out!. If you create a transfer function using G and C, you can easily match it up to the characteristic equation for 2nd order systems and solve accordingly. I double checked this on matlab so i know its the correct approach.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Control Systems - Root Locus with proportional control
  1. Control systems (Replies: 12)

Loading...