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Distributed Kalman Filtering for Range only Radio Networks

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Distributed Kalman Filtering for Range only Radio Networks. Sanjiban Choudhury. Problem Framework. Stop. Path. Start. Radio Nodes. - PowerPoint PPT Presentation
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Distributed Kalman Filtering for Range only Radio Networks Sanjiban Choudhury
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Page 1: Distributed Kalman Filtering for Range only Radio Networks

Distributed Kalman Filtering for Range

only Radio NetworksSanjiban Choudhury

Page 2: Distributed Kalman Filtering for Range only Radio Networks

Radio Nodes

Path

Problem Framework

Start

Stop

Page 3: Distributed Kalman Filtering for Range only Radio Networks

The Extended Information Filter

State and Covariance PredictionInformation Vector, Covariance and Measurement

Information Update Reverting to original form for state and covariance update

Data can be asynchronous, grid may not be fully connected

E. Nettleton, H. Durrant-Whyte, P. Gibbens, and A. Goktoˇgan. Multiple platform localisation and map building. In G.T. McKee and P.S. Schenker, editors, Sensor Fusion and Decentralised Control in Robotic Stystems III, volume 4196, pages 337–347, Bellingham, 2000.

Page 4: Distributed Kalman Filtering for Range only Radio Networks

The Extended Information Filter

State and Covariance PredictionInformation Vector, Covariance and Measurement

Information Update Reverting to original form for state and covariance update

Data can be asynchronous, grid may not be fully connected

E. Nettleton, H. Durrant-Whyte, P. Gibbens, and A. Goktoˇgan. Multiple platform localisation and map building. In G.T. McKee and P.S. Schenker, editors, Sensor Fusion and Decentralised Control in Robotic Stystems III, volume 4196, pages 337–347, Bellingham, 2000.

Page 5: Distributed Kalman Filtering for Range only Radio Networks

The Extended Information Filter

State and Covariance PredictionInformation Vector, Covariance and Measurement

Information Update Reverting to original form for state and covariance update

Data can be asynchronous, grid may not be fully connected

E. Nettleton, H. Durrant-Whyte, P. Gibbens, and A. Goktoˇgan. Multiple platform localisation and map building. In G.T. McKee and P.S. Schenker, editors, Sensor Fusion and Decentralised Control in Robotic Stystems III, volume 4196, pages 337–347, Bellingham, 2000.

Page 6: Distributed Kalman Filtering for Range only Radio Networks

The Extended Information Filter

State and Covariance PredictionInformation Vector, Covariance and Measurement

Information Update Reverting to original form for state and covariance update

Data can be asynchronous, grid may not be fully connected

E. Nettleton, H. Durrant-Whyte, P. Gibbens, and A. Goktoˇgan. Multiple platform localisation and map building. In G.T. McKee and P.S. Schenker, editors, Sensor Fusion and Decentralised Control in Robotic Stystems III, volume 4196, pages 337–347, Bellingham, 2000.

Page 7: Distributed Kalman Filtering for Range only Radio Networks

Distributed EIF with consensus

x2x1

Tracking an object Consensus over time (red = consensus)

R. Olfati-Saber. Distributed Kalman filtering for sensor networks. In Proceedings of the 46th Conference on Decision and Control, New Orleans, LA, USA, 2007, pp. 5492–5498.

Page 8: Distributed Kalman Filtering for Range only Radio Networks

Distributed EIF with consensus

x2x1

Tracking an object Consensus over time (red = consensus)

R. Olfati-Saber. Distributed Kalman filtering for sensor networks. In Proceedings of the 46th Conference on Decision and Control, New Orleans, LA, USA, 2007, pp. 5492–5498.

Page 9: Distributed Kalman Filtering for Range only Radio Networks

Distributed EIF with consensus

x2x1

Tracking an object Consensus over time (red = consensus)

R. Olfati-Saber. Distributed Kalman filtering for sensor networks. In Proceedings of the 46th Conference on Decision and Control, New Orleans, LA, USA, 2007, pp. 5492–5498.

Page 10: Distributed Kalman Filtering for Range only Radio Networks

Distributed EIF with consensus

x2x1

Tracking an object Consensus over time (red = consensus)

R. Olfati-Saber. Distributed Kalman filtering for sensor networks. In Proceedings of the 46th Conference on Decision and Control, New Orleans, LA, USA, 2007, pp. 5492–5498.

Page 11: Distributed Kalman Filtering for Range only Radio Networks

Relative Over Parameterized EKF J. Djugash and S. Singh. A robust method of localization and mapping using only range. In International Symposium on Experimental Robotics,July 2008.

Page 12: Distributed Kalman Filtering for Range only Radio Networks

Relative Over Parameterized EKF J. Djugash and S. Singh. A robust method of localization and mapping using only range. In International Symposium on Experimental Robotics,July 2008.

Page 13: Distributed Kalman Filtering for Range only Radio Networks

The Distributed ROPEIF

DEIF

DROPEIF

Err

or

(m)

Err

or

(m)

Page 14: Distributed Kalman Filtering for Range only Radio Networks

PerformanceTra

ckin

g e

rror

Tra

ckin

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rror


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