Inertial navigation system using kalman filter

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Discussion Overview

The discussion centers on the estimation of an inertial navigation system using Kalman filtering, specifically seeking the state space model relevant to this application. Participants express interest in both theoretical and practical aspects of the model.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant requests assistance in finding the state space model for an inertial navigation system to use with a Kalman filter.
  • Another participant suggests that the state space model can be found in the Wikipedia article on Kalman filters, but acknowledges that this may not directly address the specific needs of the original poster.
  • Several participants express that the question is too open-ended and may require extensive background knowledge and research before meaningful help can be provided.
  • Some participants mention the importance of understanding the mathematical model of the inertial navigation system rather than just the standard Kalman filter format.
  • There are references to various texts and journals that could provide additional information on Kalman filters and their applications.
  • One participant shares their appreciation for journal articles and books on the subject, indicating a desire for practical applications of Kalman filtering.
  • A participant mentions using a tool called 'Visual Kalman Filter' and finds it useful.

Areas of Agreement / Disagreement

Participants generally agree that the original question is too broad and requires more specific context. However, there is no consensus on how to best address the request for a state space model, as multiple viewpoints and suggestions are presented.

Contextual Notes

Some participants highlight the need for a solid mathematical background and prior research into the topic to facilitate meaningful assistance. The discussion reflects varying levels of expertise among participants, which may influence the responses provided.

Who May Find This Useful

This discussion may be useful for individuals interested in inertial navigation systems, Kalman filtering, and those seeking resources for further study in these areas.

mehvishanwar
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Hello,

Im working on estimation of inertial navigation system using kalman filtering.
Can anyone 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.
 
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i have read the kalman filter theory and all that..
but I am interested in mathematical model(state space model) of inertial navigation system...
thanks,,,
 
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.
 
@ Cyrus,,,, thanks but i suppose the mathematical model of inertial navigation system can be found in some aerospace subjects,,,
thanks in anticipation,,,,,
 
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@mughliens,,,, u told me the standard format of the kalman filter but i need the mathematical model of inertial navigation system.
 
mehvishanwar said:
Can anyone help me finding the state space model of inertial navigation system used to estimate the states via kalman filter.
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.
 
D H said:
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.

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.
 
  • #10
mehvishanwar said:
@mughliens,,,, u told me the standard format of the kalman filter but i need the mathematical model of inertial navigation system.

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?
 
  • #11
Cyrus said:
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.
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.

Texts
"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.


Classes
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.


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


Conferences
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.
 

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