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Chapter 6 - State Estimation

Published online by Cambridge University Press:  05 June 2014

Alonzo Kelly
Affiliation:
Carnegie Mellon University, Pennsylvania
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Summary

The most basic necessity of a mobile robot is the capacity to measure its own motion. For otherwise, how could it determine which way to go or whether it ever got there? In the plane, the pose of the robot is defined as the position and orientation coordinates (x, y, ψ) of some distinguished reference frame on the body. In some cases, velocities or higher derivatives or perhaps articulations are desired and this more general problem is referred to as state estimation. Determining the exact pose of the robot is not usually a practical goal. The best that can be done is to estimate pose so it is common to refer to the problem of localization as pose estimation. Much of the theory of estimation is directly applicable.

For any element of the robot pose, an important distinction relates to the question of whether available measurements project onto the pose itself or onto any of its time derivatives. In the former case, algebraic equations relate the pose to the measurements and the technique is classified as triangulation. In the latter case, differential equations relate the pose to the measurements and the technique is classified as dead reckoning. The errors that occur in these two fundamental techniques behave in very different ways.

Type
Chapter
Information
Mobile Robotics
Mathematics, Models, and Methods
, pp. 370 - 434
Publisher: Cambridge University Press
Print publication year: 2013

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  • State Estimation
  • Alonzo Kelly, Carnegie Mellon University, Pennsylvania
  • Book: Mobile Robotics
  • Online publication: 05 June 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9781139381284.007
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  • State Estimation
  • Alonzo Kelly, Carnegie Mellon University, Pennsylvania
  • Book: Mobile Robotics
  • Online publication: 05 June 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9781139381284.007
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • State Estimation
  • Alonzo Kelly, Carnegie Mellon University, Pennsylvania
  • Book: Mobile Robotics
  • Online publication: 05 June 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9781139381284.007
Available formats
×