EECI08: State Estimation and Sensor Fusion: Difference between revisions

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{{eeci-sp08 header|next=[[NCS: Packet-Based Estimation and Control|Packet-Based Control]]|prev=[[NCS: Optimization-Based Control|Embedded Programming]]}}
{{eeci-sp08 header|next=[[EECI08: Packet-Based Estimation and Control|Packet-Based Control]]|prev=[[EECI08: Optimization-Based Control|Optimization-Based Control]]}}


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This lecture provides a review of key results in state estimation and sensor fusion that will be built upon in future lectures.  We briefly summarize Kalman filtering and discuss several variants that are of use in a computationally-rich, networked environment: information filters, moving horizon estimation and particle filters.
This lecture provides a review of key results in state estimation and sensor fusion that will be built upon in future lectures.  We briefly summarize Kalman filtering and and describe how to use Kalman filters to obtain optimal sensor fusion in a centralized setting.  We also discuss several variants that are of use in a computationally-rich, networked environment: information filters, moving horizon estimation and particle filters.  Extensions to networked sensors and distributed sensing are discussed in the follow two lectures.


{| width=100% border=1
== Lecture Materials ==
|- valign=top
* Lecture slides: {{eeci-sp08 pdf|L6_fusion.pdf|State Estimation and Sensor Fusion}}
| width=50% |
* Lecture notes: {{ncsbook|fusion|Chapter 4 - State Estimation and Sensor Fusion}}
==== Outline ====
 
<ol type="A">
== Reading ==
<li>Kalman Filtering</li>
* <p>{{obc08|Chapters 4-7}} - This is a set of notes from a course on optimization-based control that covers much of the background material required for this lecture, including random processes and Kalman filters.</p>
<li>Sensor Fusion</li>
 
<li>Extensions</li>
* <p>[http://www.cs.unc.edu/~welch/media/pdf/kalman_intro.pdf An Introduction to the Kalman Filter], G. Welch and G. Bishop. A brief introduction to the Kalman filter in discrete time. No proofs are given, but it is a good first read.</p>
* Information Filters
* Moving Horizon Estimation
* Particle Filters
</ol>
| width=50% |


====  Lecture Materials ====
* <p>[http://en.wikipedia.org/wiki/Kalman_filter Wikipedia: Kalman Filter] A webpage that gives a proof and some applications.</p>
* Lecture slides: {{eeci-sp08 pdf placeholder|L5_fusion.pdf|State Estimation and Sensor Fusion}}
* Lecture notes: {{ncsbook|fusion|Chapter 4 - State Estimation and Sensor Fusion}}


==== Additional Information ====
* <p>[http://www.cs.unc.edu/~welch/kalman/kalmanPaper.html A New Approach to Linear Filtering and Prediction Problem], R.E. Kalman. ''Transactions of the ASME'', Series D, 1960. A classical paper. Still very readable. It uses different notation than the lecture, and present a different and more general proof. </p>


|}
* <p>[http://www.amazon.com/gp/product/0486439380/102-3301256-1504117?v=glance&n=283155 Optimal Filtering], B.D.O Anderson and J.B. Moore. Dover Books on Engineering, 2005. A reissue of a book from  1979. It contains a detailed mathematical presentation of filtering problems and the Kalman filter. A very good book.</p>


==== Further Reading ====
== Additional Information ==  
* <p>[http://www.cs.unc.edu/~welch/kalman/ The Kalman Filter],  G. Welch and G. Bishop. A webpage with many links on Kalman filter.</p>

Latest revision as of 20:24, 1 March 2009

Prev: Optimization-Based Control Course home Next: Packet-Based Control

This lecture provides a review of key results in state estimation and sensor fusion that will be built upon in future lectures. We briefly summarize Kalman filtering and and describe how to use Kalman filters to obtain optimal sensor fusion in a centralized setting. We also discuss several variants that are of use in a computationally-rich, networked environment: information filters, moving horizon estimation and particle filters. Extensions to networked sensors and distributed sensing are discussed in the follow two lectures.

Lecture Materials

Reading

  • Chapters 4-7 - This is a set of notes from a course on optimization-based control that covers much of the background material required for this lecture, including random processes and Kalman filters.

  • Optimal Filtering, B.D.O Anderson and J.B. Moore. Dover Books on Engineering, 2005. A reissue of a book from 1979. It contains a detailed mathematical presentation of filtering problems and the Kalman filter. A very good book.

Additional Information

  • The Kalman Filter, G. Welch and G. Bishop. A webpage with many links on Kalman filter.