The Kalman type recursive state estimator with a finite-step correlated process noises

E Song, Y Zhu, Z You - 2008 IEEE International Conference on …, 2008 - ieeexplore.ieee.org
E Song, Y Zhu, Z You
2008 IEEE International Conference on Automation and Logistics, 2008ieeexplore.ieee.org
This paper consider the Kalman type recursive filter with finite-step correlated process
noises. We propose a modified Kalman type filtering for such dynamic system. More
importantly, unlike the previous result on the Kalman filtering with color noises, no process
noise correlation model is required. What we need is only the correlation of process noises
of two different time instants. We analyze its local optimality and demonstrate via several
examples that the proposed recursive filter can significantly increase the performance over …
This paper consider the Kalman type recursive filter with finite-step correlated process noises. We propose a modified Kalman type filtering for such dynamic system. More importantly, unlike the previous result on the Kalman filtering with color noises, no process noise correlation model is required. What we need is only the correlation of process noises of two different time instants. We analyze its local optimality and demonstrate via several examples that the proposed recursive filter can significantly increase the performance over the standard Kalman filter when dynamic system with finite-step correlated process noises.
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