Title
A Frequency-Domain Characterization Of Optimal Error Covariance For The Kalman-Bucy Filter
Abstract
In this paper, we discover that the trace of the division of the optimal output estimation error covariance over the noise covariance attained by the Kalman-Bucy filter can be explicitly expressed in terms of the plant dynamics and noise statistics in a frequency-domain integral characterization. Towards this end, we examine the algebraic Riccati equation associated with Kalman-Bucy filtering using analytic function theory and relate it to the Bode integral. Our approach features an alternative, frequency-domain framework for analyzing algebraic Riccati equations and reduces to various existing related results.
Year
Venue
DocType
2018
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC)
Conference
Volume
ISSN
Citations 
abs/1807.08604
0743-1546
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Song Fang1367.89
Hideaki Ishii294985.28
Jie Chen3647124.78
Karl Henrik Johansson43996322.75