scholarly journals Continuous-Time Minimum-Variance Filtering

Author(s):  
Garry Einicke

Author(s):  
Jennifer L. Bonniwell ◽  
Susan C. Schneider ◽  
Edwin E. Yaz

This work elucidates another theoretical property of the ubiquitous extended Kalman filter by analyzing the energy gain of the continuous-time extended Kalman filter used as a nonlinear observer in the presence of finite-energy disturbances. The analysis provides a bound on the ratio of estimation error energy to disturbance energy, which shows that the extended Kalman filter inherently has the H∞-property along with being the locally optimal minimum variance estimator. A special case of this result is also shown to be the H2-property of the extended Kalman filter.











2007 ◽  
Vol 14 (12) ◽  
pp. 1024-1027 ◽  
Author(s):  
Bo Kyu Kwon ◽  
Soohee Han ◽  
Wook Hyun Kwon




2008 ◽  
Vol 41 (2) ◽  
pp. 5751-5755
Author(s):  
Ryota Hoshino ◽  
Yasuchika Mori


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