Variable Order Fractional Kalman Filters for Estimation over Lossy Network

  • Dominik Sierociuk
  • Pawel Ziubinski
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 320)


This paper presents generalization of Fractional Variable Order Kalman Filter (FvoKF) and Improved Fractional Variable Order Kalman Filter (ExFvoKF) algorithms for estimation of fractional variable order state-space systems over lossy network. This generalization is obtained for a state-space system based on one type of fractional variable order difference (\(\mathcal{A}\)-type) and assuming the knowledge about packets losing. The generalization of ExFKF algorithm based on the infinite dimensional form of a linear discrete fractional variable order state-space system and measurements equation augmentation. It required less restrictive assumptions than derivation of FKF. Finally, numerical simulations of proposed algorithms are presented and compared.


Packet Loss Kalman Filter Fractional Order Variable Order Packet Dropout 
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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institute of Control and Industrial ElectronicsWarsaw University of TechnologyWarsawPoland

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