1. Limited time only! Sign up for a free 30min personal 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!

State Space Analyis - the 'B' matrix

  1. Oct 10, 2011 #1
    Below is a screen shot from state space analysis in "Control Engineering" by Ogata.

    http://www.flickr.com/photos/66943862@N06/6230432028/" [Broken]

    I am trying to get at 3-20 from 3-18.

    Can't the u part of the matrix also be written as
    [1/m 0]T instead of [0 1/m]T?

    What's the rationale in choosing one over the other?
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Oct 12, 2011 #2
    There is nothing to do to get to 3-20...if you got to 3-18, you are already at 3-20...well, if you got to 3-17 AND 3-18, you are already at 3-20.

    3-20 is exactly the same as 3-17 and 3-18 together, it is simply the expresion of the same set of simultaneous equations, but in matrix form:


    Code (Text):

    x1dot = (  0 )x1 + (  1 )x2 + ( 0 )u
    x2dot = (-k/m)x1 + (-b/m)x2 + (1/m)u
     
    When 3-17 and 3-18 are written as above, it should be clear to you why 3-20 looks the way it does, right?

    Keep in mind the orderly manner in which matrix multiplication works, too, in order to answer your question.
     
  4. Oct 12, 2011 #3
    Yes, I got that. My original question was silly!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: State Space Analyis - the 'B' matrix
  1. Local Space (Replies: 2)

Loading...