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Aerospace Inertial navigation system using kalman filter

  1. Sep 19, 2010 #1

    Im working on estimation of inertial navigation system using kalman filtering.
    Can any one help me finding the state space model of inertial navigation system used to estimate the states via kalman filter.

    An early response is needed.Thanks in advance.
  2. jcsd
  3. Sep 20, 2010 #2
    Last edited by a moderator: May 4, 2017
  4. Sep 20, 2010 #3
    i have read the kalman filter theory and all that..
    but im interested in mathematical model(state space model) of inertial navigation system...
  5. Sep 21, 2010 #4
    I assume what you mean to ask is a state space model of your sensor dynamics. I'd ask DH, he might be able to point you in the right direction.

    I'll look through my notes from my stochastic class a while back for you in a few days.
  6. Sep 21, 2010 #5
    @ Cyrus,,,, thanks but i suppose the mathematical model of inertial navigation system can be found in some aerospace subjects,,,
    thanks in anticipation,,,,,
  7. Sep 21, 2010 #6
    Last edited by a moderator: Apr 25, 2017
  8. Sep 21, 2010 #7
    @mughliens,,,, u told me the standard format of the kalman filter but i need the mathematical model of inertial navigation system.
  9. Sep 21, 2010 #8

    D H

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    This is not an appropriate question for this internet forum, or for any internet forum. The reason it is inappropriate is that it is far too open-ended. You are asking me to write a book. In fact, not just a book, but multiple books, multiple journals, multiple conference proceedings, ...!

    What are you trying to do? What is your mathematical background? What have you found in your own research into this subject matter? We do not do people's homework at this site. We help you do your own homework. You need to do some work before we can help you.
  10. Sep 21, 2010 #9
    I'd personally appreciate any good journal articles you might know on the subject to read in my spare time. I know the theory, but it would be nice to read about some actual applications of KF. It gets to be dense reading very quickly. I have the Hawng book: "Introduction to Random Signals and Applied Kalman Filtering, 4th Ed." I should go back and read that when I have time.
  11. Sep 22, 2010 #10
    The beauty of links to Wikipedia is that the articles include many references from which the information is summarized. In the case of the Kalman Filter article, there are 19 such references. Have you tried printing the references and trying your local library?
  12. Sep 22, 2010 #11

    D H

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    Minor correction: The authors of "Introduction to Random Signals and Applied Kalman Filtering" are Brown and Hwang, and they haven't come out with a 4th edition yet.

    "Introduction to Random Signals and Applied Kalman Filtering" by Brown and Hwang is one of the key texts on the subject. That book has grown in size and scope over the years. The first edition was a nice compact 52 pages. It is now ten times as long. Another good book on the subject is "Applied Optimal Estimation" by Gelb.

    Here is the SIGGRAPH 2001 class on "An Introduction to the Kalman Filter": http://www.cs.unc.edu/~tracker/media/pdf/SIGGRAPH2001_CoursePack_08.pdf

    There are lots of commercial classes on Kalman filters as well. Some are boondoggles (the last day is a field demonstration of a Kalman filter in action -- typically on a yacht, cash bar). I never could convince my employer to send me to one of those.

    Almost every issue of AIAA Journal of Guidance, Control, and Dynamics has at least one article on Kalman filters and their application.

    The following conferences inevitably have multiple papers on Kalman filters and their application:
    AAS/AIAA Astrodynamics Specialist Conference
    AAS/AIAA Space Flight Mechanics Meeting
    AIAA Guidance, Navigation, And Control Conference

    The first is sometimes called the GN&Ski conference because it is ofttimes held at a ski resort and has very long lunch breaks (more than enough time to hit the slopes between sessions). Nice boondoggle if you can convince your employer to send you there.
  13. Dec 5, 2010 #12
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