Kalman filtering for wireless networks systems with delayed-missing measurements
Xiao Lu, Baodong Guo
Abstract
Xiao Lu, Baodong Guo
Abstract
The paper is concerned with the Kalman filtering problem for linear discrete-time network systems with delayed-missing measurements. The Kalman filter and the corresponding covariance matrix become stochastic, since the measurements are partial (or part or all of the measurements are lost). The re-organized innovation analysis approach is proposed to deal with such a problem, and the calculation of the filter involves two Riccati equations associated with two normal Kalman filter of a delay-free system. The Riccati equations have the same dimension as the system.
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The paper is concerned with the Kalman filtering problem for linear discrete-time network systems with delayed-missing measurements. The Kalman filter and the corresponding covariance matrix become stochastic, since the measurements are partial (or part or all of the measurements are lost). The re-organized innovation analysis approach is proposed to deal with such a problem, and the calculation of the filter involves two Riccati equations associated with two normal Kalman filter of a delay-free system. The Riccati equations have the same dimension as the system.
Key concepts: Kalman filter, Fast Kalman filter, Control theory (sociology), Dimension (graph theory), Filtering problem, Extended Kalman filter, Riccati equation, Invariant extended Kalman filter